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Optical and near-infrared properties of submillimetre galaxies Pope, Alexandra 2004

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Optical and near-infrared properties of submillimetre galaxies by Alexandra Pope B.Sc. (Physics) The University of Lethbridge, 2002 A THESIS SUBMITTED IN PARTIAL FULFILMENT OF THE REQUIREMENTS FOR THE DEGREE OF MASTER OF SCIENCE in THE FACULTY OF GRADUATE STUDIES (Department of Physics and Astronomy) We accept this thesis as conforming to the required standard THE UNIVERSITY OF BRITISH COLUMBIA October 2004 © Alexandra Pope, 2004 njBci THE UNIVERSITY OF BRITISH COLUMBIA FACULTY OF GRADUATE STUDIES Library Authorization In presenting this thesis in partial fulfillment of the requirements for an advanced degree at the University of British Columbia, I agree that the Library shall make it freely available for reference and study. I further agree that permission for extensive copying of this thesis for scholarly purposes may be granted by the head of my department or by his or her representatives. It is understood that copying or publication of this thesis for financial gain shall not be allowed without my written permission. H t m x \ A t a . Tba? Name of Author (please print) Date (dd/mm/yyyy) Title of Thesis: Degree: Year: Department of The University of British Columbia ( Vancouver, BC Canada grad.ubc.ca/forms/?formlD=THS page 1 of 1 last updated: 20-Jul-04 11 A B S T R A C T We present a new sub-mm 'Super-map' in the HDF-North region, containing 40 statis-tically robust sources at 850 /xm. This map contains new data, and several new sources (including one of the brightest extragalactic sub-mm sources ever detected). We have used ACS HST images and ground-based near-IR observations to study these sources. With the depth achieved by this survey, optical counterparts have been found for all the radio-detected sub-mm sources. We have used the colours, morphologies and photo-metric redshifts of these secure identifications to help identify counterparts to the radio-undetected sub-mm sources, finding that certain combinations of optical properties can be used to successfully identify the counterpart. 74% of our sources have a unique optical counterpart using our new techniques for counterpart identification, and an additional 18% have more than one possibility that meet our criteria in the ACS images. Thus only ~ 8% of our sources lack a plausible optical/near-IR counterpart, meaning that we have the first sample of S C U B A sources which is nearly completely identified in the optical. We have found a much higher ERO rate than other sub-mm surveys, due to the increased depth in the optical images. The median photometric redshift (and quar-tile range), from optical and near-infrared data, is 1.7 (1.3-2.3) for the radio-detected sub-mm sources, and rises to 2.3 (1.3-2.9) for the radio-undetected sub-sample. We find interesting correlations between the 850 pirn flux and both the 2775 magnitude, and the photometric redshift. While the quantitative morphologies span a range of values, in general the sub-mm galaxies show larger sizes and a higher degree of asymmetry than other galaxy populations at the same redshifts. We also discuss several improvements in our data analysis procedure, including methods of testing for source reliability. iii C O N T E N T S Abstract ii Contents iii List of Tables v List of Figures vi Acknowledgements viii 1 Introduction 1 1.1 Extragalactic submillimetre astronomy 1 1.2 The Great Observatories Origins Deep Survey 3 1.3 Submillimetre galaxies at optical wavelengths 4 2 Submillimetre observations and data analysis 5 2.1 Submillimetre Common User Bolometer Array 5 2.2 850 /Ltm observations 6 2.3 850 /im source list 12 2.4 A 'cleaned' 850 //m map 14 2.5 450 pm observations and source list 16 2.6 Robustness of SCUBA sources 18 3 Multi-wavelength observations 19 3.1 HST imaging 19 3.2 Near-IR imaging 20 iv 4 D e r i v i n g opt ical parameters 21 4.1 Photometric redshifts 21 4.2 CAS structural parameters 25 5 Identifying opt ical counterparts 27 5.1 Radio-detected S C U B A sources 28 5.2 Radio-undetected S C U B A sources 29 6 Resul ts and discussion 35 6.1 Redshift distribution 36 6.2 Optical and near-IR colours 42 6.3 Internal structure 49 6.4 A bright radio-undetected sub-mm system 56 7 Conc lus ion and future work 61 Bib l iography 64 A N e w 850 fim sources 69 B Sta t is t ica l tests of source robustness 71 V L I S T O F T A B L E S 2.1 850 /im source list 13 2.2 450 pm source list 17 5.1 Poisson statistics 30 6.1 Properties of optical counterparts 37 6.2 Median photometric redshifts 40 6.3 Quantitative morphology parameters 50 B.l x 2 'poorness-of-fit' values 75 vi L I S T O F F I G U R E S 1.1 ULIRG spectral energy distribution 2 2.1 Atmospheric transmission above Mauna Kea in the sub-mm window . . . 7 2.2 850 /im signal-to-noise super-map 11 2.3 Model for 'cleaning' the super-map 15 4.1 Accuracy of photometric redshifts 22 4.2 Photometric redshift residuals as a function of the spectroscopic redshift 23 5.1 Distribution of i775 — Ks colours in GOODS-North 31 5.2 Distribution of J - Ka colours in GOODS-North 32 6.1 Redshift distribution of all sub-mm sources 38 6.2 Redshift distribution for RD and RU sub-mm sources 39 6.3 Photometric redshift as a function of the 850 /im flux on a logarithmic scale 43 6.4 i 7 7 5 magnitude as a function of the 850 /mi flux on a logarithmic scale . . 44 6.5 Ks magnitude as a function of redshift 46 6.6 Colour as a function of redshift 47 6.7 Near-IR colour-colour plot • • 48 6.8 Size of SCUBA galaxies as a function of redshift 52 6.9 Distribution of size compared to other high redshift populations 54 6.10 Concentration versus asymmetry 55 6.11 Signal map for GN20/GN20.2 57 6.12 Separate chop sub-maps 58 6.13 ACS z-band image around GN20 and GN20.2 60 B.l Smoothed temporal x 2 SNR maps at 850 /im and 450 /mi 72 vii B.2 Distribution of 'Poorness of fit' for the temporal x 2 statistic 76 B.3 Distribution of 'Poorness of fit' for the spatial x 2 statistic . 77 B.4 Variation of poorness of fit with signal-to-noise ratio 78 B.5 Variation of poorness of fit with source brightness 79 B.6 Variation of poorness of fit with noise level of sources 80 Vlll Acknowledgements I would like to thank my supervisor, Dr. Douglas Scott, for his ideas, encourage-ment and support. I have appreciated the opportunities to travel to conferences and telescopes and the encouragement of collaborating with many experts in the field. I would also like to thank Colin Borys, my unofficial co-supervisor, for his guidance in sub-mm data analysis and providing new ideas for this thesis. Christopher Conselice, Mark Dickinson and Bahram Mobasher, from the GOODS team, were very helpful with the optical and near-IR side of things and I appreciate their involvement in the project. I am thankful to Mark Halpern for his comments which helped fine tune the final version of the thesis. This work was supported by the Natural Sciences and Engineering Research Council of Canada and trips to Hawaii were funded by the National Research Council of Canada. The James Clerk Maxwell Telescope is operated by The Joint Astronomy Center on behalf of the Particle Physics and Astronomy Research Council of the United Kingdom, the Netherlands Organisation for Scientific Research, and the National Research Council of Canada. Much of the data used for the analysis was obtained via the Canadian Astronomy Data Centre, which is operated by the Herzberg Institute of Astrophysics, National Research Council of Canada. Last, but not least, I would like to thank my family and friends for all their continuous love and support and, in particular, Robert Kain for keeping me in touch with reality. 1 C h a p t e r 1 I N T R O D U C T I O N 1.1 E x t r a g a l a c t i c s u b m i l l i m e t r e a s t r o n o m y Extragalactic submillimetre (sub-mm) surveys have revealed a population of high redshift galaxies that appear similar to nearby ultra-luminous infrared galaxies (e.g. Blain et al., 2002, and references therein). However, at high redshift we observe these galaxies at a time when they are thousands of times more numerous than such galaxies today (Sanders, 1999). Therefore they play a significant role in galaxy formation and evolution and are thought to be the progenitors of present-day massive elliptical galaxies (Lilly et al., 1999; Scott et al., 2002), although there is only very indirect evidence for this hypothesis. The Sub-millimetre Common User Bolometer Array (SCUBA, Holland et al. 1999) on the James Clerk Maxwell Telescope (JCMT) has been used to find approximately 500 such objects since 1997, but the exact properties of these galaxies are still poorly understood. Progress in understanding this population is made by studying the charac-teristics of individual sources at other wavelengths. However, this is challenging, due to the JCMT beam size which creates a large search radius when looking for counterparts to the sub-mm emission at other wavelengths. Currently, coincidence with a 1.4 GHz radio source is the most successful way to identify the counterpart and refine the position of a SCUBA source (Barger, Cowie, & Richards 2000; Ivison et al. 2002; Smail et al. 2002; Borys et al. 2004; Clements et al. 2004). Studies that exploit this technique have found a mean spectroscopic redshift for the radio-detected sub-sample of SCUBA sources of 2.4 (Chapman et al., 2003b). However, SCUBA sources detected at 1.4GHz represent only about half of the total number of sources found in all extragalactic SCUBA surveys (perhaps rising to 2/3 for the brightest ones). Therefore there is a substantial fraction of SCUBA sources about which we currently know very little. Because the presence of CHAPTER 1. INTRODUCTION 2 100.0 1 10 100 1000 10000 10 100 1000 10000 Wavelength (urn) Wavelength (um) Figure 1.1: ULIRG spectral energy distribution from the optical to the radio. SCUBA observes at 450 and 850 / m i , denoted by asterisks on the distributions. The plot on the left is a local ULIRG (z ~ 0) taken from Lagache, Dole, & Puget (2003), normalized to 1000 mJy at 850 / m i , which is comparable flux to the local ULIRG Arp 220. The right panel plots the same, SED shape, shown as it would appear at z ~ 2.5, close to the median redshift for extragalactic sub-mm sources. The plot on the right is normalized to an 850 / m i flux of lOmJy, which is a typical flux for high redshift SCUBA galaxies. Observations in the sub-mm enjoy at negative K-correction after z ~ 1, as they sample higher up the far-IR peak. This partially compensates for the effects of distance, so that the expected flux of ULIRGs at sub-mm wavelengths is only a weak function of redshift. CHAPTER 1. INTRODUCTION 3 a radio counterpart is sufficiently rare, it can be partially used to assess the reliability of sub-mm sources in some samples and as a result some doubt has been cast on the reality of the radio-undetected sub-mm sources (Greve et al., 2004; Ivison et al., 2002). However, as we will demonstrate in this paper, in the region of our survey (where there is a wealth of both sub-mm and radio data), there are certainly a number of robust SCUBA sources with no radio counterpart, and we are able to compare the properties of the radio-detected and radio-undetected sub-samples. In the absence of a radio-counterpart, we are forced to rely on shorter wavelength data, such as optical and infrared. At optical wavelengths, the light from the energetic source in SCUBA galaxies will be heavily obscured by the dust that is producing the rnid/far-IR emission. Combining this with the large beam size in typical sub-mm observations, it becomes clear that finding the correct counterpart is a challenge. Previous sub-mm surveys have found secure optical counterparts to less than half of their SCUBA sources; these tend to be faint and have red colours (Ivison et al. 2002; Webb et al. 2003b; Clements et al. 2004), although these properties alone are not sufficient to pick out the correct optical counterpart (Borys et al., 2004; Webb et al., 2004). Such counterparts are often near the detection limit and so the deepest data at red and near-IR wavelengths are required to maximize the likelihood of detections. 1.2 The Great Observatories Origins Deep Survey The Great Observatories Origins Deep Survey (GOODS, Giavalisco et al., 2004a) is a huge multi-wavelength campaign to study galaxy evolution in the early Universe. As part of the project, the Advanced Camera for Surveys (ACS) on the Hubble Space Telescope (HST) has observed two large fields to produce deep high-resolution optical images and has detected galaxies down to ZAB — 28 (Giavalisco et al. 2004a). Deep Chandra data already exist for these fields, while observations with the Spitzer Space Telescope are also part of GOODS and should be completed by November 2004. These observations will include both near- and mid- IR wavelengths using the IRAC instrument at 3.6, 4.5, 5.8 CHAPTER 1. INTRODUCTION 4 and 8 y^m and the MIPS detector at 24, 70, and 160pm. We expect that the combination of SCUBA and Spitzer will be very powerful, provided that the sub-mm sources can be well localized. GOODS is therefore an ideal data-set for studying sub-mm sources. 1.3 Submillimetre galaxies at optical wavelengths In this thesis we study the optical and near-IR properties of a large sample of SCUBA galaxies in the GOODS-North region, centred on the Hubble Deep Field North (HDF-N), in order to understand both the radio-detected and radio-undetected sub-samples. We use the new HST observations, as well as ground-based near-IR imaging. A study of the Spitzer observations of our sub-mm sample is reserved for future work. We include additional sub-mm observations of the region to update the super-map presented in Borys et al. (2003, hereafter Paper I) and include a revised source list. We discuss how the newer ACS data compare with the source identifications discussed in our earlier multi-wavelength study (Borys et al., 2004, hereafter Paper II). The format of this thesis is as follows. Chapters 2 presents the sub-mm observations and data analysis. Chapter 3 describes the optical and near-IR data used in this paper. Chapter 4 explains how we calculated the parameters used to compare the optical sources. Our new technique for counterpart selection is discussed in Chaper 5. Chapter 6 discusses the optical properties found for our sub-mm sample and Chapter 7 is the conclusion. We have included an appendix, which includes a brief description of each of the new sources (Appendix A), and describes the statistical tests we used to evaluate the robustness of our sub-mm sources (Appendix B). All magnitudes in this thesis use the AB system unless otherwise noted. We use a standard cosmology with H0 — 72 kms - 1 Mpc - 1, = 0-3 and Q A = 0.7. 5 Chapter 2 S U B M I L L I M E T R E OBSERVATIONS A N D DATA A N A L Y S I S Currently, the largest amount of blank-field S C U B A data in a single field is found in the H D F - N region (Paper I). This unbiased survey combines all S C U B A observations of the field taken by a number of different groups into a 'super-map'. It is important to remember that S C U B A data always include chopping and that the GOODS-North S C U B A data-set is composed of observations taken in all 3 S C U B A modes (photometry, jiggle-mapping and scan-mapping) with many different chop patterns, mostly using in-field chopping (i.e. with a chop throw that is less than the array size). For these reasons, when we construct the combined signal-to-noise S C U B A map, we refer to it as the 'super-map', to emphasize that it is really telling us the best estimate for the signal-to-noise ratio for a point source centred on each pixel. This map and source list are described in Paper I, with an update and possible multi-wavelength counterparts discussed in Paper II. We have collected more S C U B A data in this region in an attempt to cover the entire GOODS-North field. New submillimetre observations and an improved source list are described in this chapter, along with some changes to the data reduction over what is described in Paper I. 2.1 Submillimetre Common User Bolometer Array S C U B A is mounted on the Nasmyth focus of the J C M T on Mauna Kea in Hawaii. The J C M T has a 15-metre primary mirror, making it the largest sub-mm telescope in the world. Ground-based sub-mm observations are hindered primarily by atmospheric ab-sorption by water vapour. Therefore the observatory, at 13,400 feet, is sited above the majority of the water. S C U B A simultaneously observes the light through two filters, cen-CHAPTER 2. SUBMILLIMETRE OBSERVATIONS AND DATA ANALYSIS 6 tred on 450 and 850 /mi, where there is significant transmission at this altitude (Fig. 2.1). SCUBA has 3 observing modes: photometry; jiggle-mapping; and scan-mapping. All modes include chopping to remove the effects of sky emission. The GOODS-North SCUBA data-set is composed of observations taken in all 3 SCUBA modes with many different chop patterns, and mostly using in-field chopping (i.e. with a chop throw that is less than the array size). 2.2 850 Lim observations The sub-mm observations presented in Paper I and Paper II contain all the data taken by our group up to Fall 2002 and all other data publicly available in the CADC JCMT archive at that time. Since then our group has collected an additional 32 hours of SCUBA jiggle-map data and 4 hours of SCUBA photometry in GOODS North. More sub-mm data from other groups within the region have also become available in the archive. All of the new data have been combined with the Paper I data to make an updated super-map of GOODS North. Most of our new sub-mm data was taken in the SCUBA jiggle-map mode, where we have adopted the same multi-chopping strategy as that of SHADES (Mortier et al., 2004). Each new target position was observed with 6 different chop configurations, namely chop throws of 30arcsec, 44 arcsec and" 68 arcsec at chop angles of both 0 degrees and 90 degrees. This reduces the risk of missing, or finding false, sources because they were chopped onto, or because of bad bolometers. It also allows us to test the robustness of sources when we detect the negative beams in each of the sub-maps. Between December 2002 to June 2003, a peculiar noise spike was found in the power spectrum of some of the bolometers in the sub-mm data. This noise occurs on the same timescale as every 16 samples, which matches the number of samples per quadrant of the 64 point jiggle scheme, and therefore introduces difficulties for sky subtraction. Although there has been some investigation, there is currently no known solution for this problem. We checked all of our new observation files and only a very small fraction contain the CHAPTER 2. SUBMILLIMETRE OBSERVATIONS AND DATA ANALYSIS 7 Wavelength (um) Figure 2.1: Atmospheric transmission above Mauna Kea in the sub-mm window. The solid curve is for 0.5 mm precipitable water vapour. The dot-dash and dashed lines are the SCUBA 450 and 850 fim filters, respectively. Note that while the beam size is smaller at the shorter wavelengths, the transmission is much less than at 850 fim, and this is becomes considerably worse when the weather conditions are worse. This is why useful 450 /^ m data are obtained only in the very best weather. Data for this plot was provided by D. Naylor. CHAPTER 2. SUBMILLIMETRE OBSERVATIONS AND DATA ANALYSIS 8 noise spike. We have opted to remove these files from the final map altogether, in order to ensure that no false structure is introduced. In addition, Bolometer G9 on the SCUBA 850 /im array has been declared dead since the beginning of 2003. We have removed any contributions from the dead bolometer to the final maps. The JCMT has also recently reported an error in the tracking model, which affected the pointing accuracy of some data files from August 2000 to April 2003, depending on the elevation (Tilanus 2004). This error is expected to cause a maximum shift of 5 arcsec. We found that 4 of the archive files which were included in the super-map are affected by this tracking error and we have removed these files from the map. This has not affected any of the sub-mm sources in our catalogue. We follow the data reduction and source extraction procedure as described in Paper I with a few minor improvements. Starting in 2003, the JCMT Water Vapor Monitor (WVM, B. Weferling, private communication) became the primary device used for at-mospheric corrections, since it provides much more frequent measurements. In our new observations, we use the WVM to correct for sky extinction (Archibald et al., 2002) whenever those data are available. We have also updated the calibration factors used for all observation files since 1997. We calculated the flux conversion factors (FCFs) for a given observation from the average of the calibrations from the same night taken in the same SCUBA mode. These calculated values are used for calibration unless they show a large discrepancy, in which case we use the new standard FCFs published on the JCMT web-page1, which are tabulated approximately monthly. Following the preliminary data analysis steps, which combine the individual nods, correct for the gains in the arrays, and correct for the airmass and sky opacity of ob-servations, the SCUBA data are rebinned into a final map. While we refer to it as the 'super-map', it is really telling us the best estimate for the signal-to-noise ratio for a point source centred on each pixel. The steps in the construction of this map are now described. x h t t p : //www. j ach. h a w a i i . edu/JACpublic/JCMT/Continuumjobserving/SCUBA/astronomy-/ c a l i b r a t i o n / g a i n s . h t m l CHAPTER 2. SUBMILLIMETRE OBSERVATIONS AND DATA ANALYSIS 9 We chose 3 arcsec x 3 arcsec pixels for our maps, oriented in the RA and DEC di-rections. These pixels are small enough that there is no significant loss of resolution at 850 yum (where abeam = 6.3 arcsec). While those pixels are not really small enough at 450 /xm (where 0 b e a m = 3.2 arcsec), these data are noisy enough that there is little advantage in going to smaller pixels. Let n be the number of integrations, and m the number of bolometers. Then each piece of data can be labelled by t, where t goes from 1 to n, and b, where b goes from 1 to m, and each represent the smallest unit of data after the preliminary data steps containing roughly 2 seconds of data. We loop through the timestream of data (t = l,..n) for each bolometer (6=1, ..m), and add a contribution to the flux (s0t), weighted by the variance in the bolometers (oft), to the appropriate pixel i. After normalizing, the final signal and noise maps are given by S and N, where -2 Si Ni = and SNR; 6=1 2^t=l6sbtO-bt Em v"*rc r —2 ' 6=1 2Zt=lS(TU -0.5 m n X ^ ,6=1 t=l Mil -2 (£r = 1 E"=o<Kf) 0 - 5 ' (2.1) (2.2) (2.3) Flux is only added to a pixel if the position of the bolometer at each integration, P(bt), is equal to the position of the pixel, P(i). S — Sp^t)P(i) is the Kronecker delta function, which is 1 when P(bt) = P(i), and 0 otherwise. In this way we treat all bolometers equivalently (except that we remove any which are poorly behaved), using inverse variance weighting. In addition, we deal with the multiple beam nature of the SCUBA measurements by assigning flux to the 2, or 3, pixels hit by the chop pattern, with a weight of +1 or —1 for scan-mappirig, and +1 or —1/2 for jiggle-map and photometry data, respectively. Our method for detecting sources in these maps requires that we smooth the raw maps CHAPTER 2. SUBMILLIMETRE OBSERVATIONS AND DATA ANALYSIS 10 with a Gaussian with a full width at half maximum of 14.7 arcsec (shape of the JCMT beam at 850 /mi), and then pick off the peaks in the smoothed signal-to-noise ratio map. We perform the smoothing as a convolution weighted by N^2. This is mathematically equivalent to a reduced x2 minimization of the data with the point spread function (PSF). Since sources are much more apparent by eye in the smoothed maps, it is the smoothed maps that are plotted in this thesis (e.g. Fig. 2.2). This 'super-map' gives our best estimate for the flux of a point source centred on each pixel. When using the scan-map mode on the JCMT, we are concerned with pointing errors on the order of 3 arcsec, since this is the distance the telescope moves on the sky in one scan. In order to correct the astrometry of the scan-map data, we did a least squares comparison between overlapping jiggle map and scan map data. We found that a shift of 1 pixel (3 arcsec) in each direction improves the scan-map astrometry and applied this shift to all the scan-map data that went into the final super-map (see also Borys et al. 2003). Once the astrometry within the sub-mm data was consistent, we checked the correlation between the super-map and the 1.4 GHz VLA radio map. We also checked for evidence of any overall shift between the positions of the radio counterparts and the sub-mm sources. Both methods find an additional shift of 1.5 arcsec. This shift is less than the size of the pixels in the sub-mm maps and therefore may have little effect, nevertheless we apply this correction to the sub-mm positions when searching for optical counterparts to achieve the best possible astrometry in the super-map. The noise in the super-map is very non-uniform, due to combining all different modes of SCUBA observations (scan-mapping, jiggle-mapping and photometry), as well as dif-ferent exposure times and different chopping configurations. The new super-map covers a total area of approximately 200 square arcminutes with an average la RMS of 3.4 mJy. However, half of the super-map is much deeper with a la RMS of < 2.5 mJy, and 70 per cent of our sources come from this deeper region. Fig. 2.2 shows the SCUBA signal-to-noise ratio super-map along with the noise map which indicates the locations of the sources. CHAPTER 2. SUBMILLIMETRE OBSERVATIONS AND DATA ANALYSIS 11 Figure 2.2: The 850 //m signal-to-noise super-map of the H D F - N region. The rectangle shows the boundary of the GOODS-North region. This map has been cleaned to remove the negative beams of the sources (see Section 2.4). The noise map is shown in the top right corner, where white corresponds to lower noise level. The crosses show the positions of the 40 sources. CHAPTER 2. SUBMILLIMETRE OBSERVATIONS AND DATA ANALYSIS 12 2.3 850 Lim source list We detect 21 sources at > 4a. in the 85.0 map and an additional. 17 sources if we consider > 3.5a (and 2 other companion sources appear after a 'clean' process which we discuss in Section 2.4). Table 2.1 gives the new source list, including those from Papers I and II, with the updated positions and fluxes. Note that the flux values have not been corrected for flux-boosting (see Eales et al., 2000), which will have a significant effect on the flux of sources which are close to the confusion limit, or have a high noise level. Sources that are new since Paper II are listed as such in the Comments column. The last column lists the status of the optical counterpart for each sub-mm source as: secure (S); tentative (T); multiple possibly counterparts that meet our counterpart selection criteria (M); or no counterpart (N). Note that GN38 is just outside the GOODS-North region. The GN identification number is used when referring to the sources in this thesis and full SMM name is listed for future reference to these sources. All of the > 4a sources from Paper II were recovered in the new reduction, with some minor changes in position and flux values. One of the Paper II sources from the supplementary 3.5-4.0cr list (SMMJ123719+621107) is no longer detected at > 3.5a. This is not surprising, since the Monte Carlo simulations performed in Paper I tell us that we can expect that on average there will be 2 spurious sources in the supplementary catalogue. There are 7 new sources in the 850 /im super-map: 3 in the > 4a list and 4 in the 3.5-4.0a list. Of these, 4 are from the new data collected in 2003. The most interesting of these sources is an unusually bright system with a total 850 /zm flux of 30 mJy, in a region with a noise level of only ~ 2 mJy. This is unprecedented for 'blank sky' SCUBA sources. When we reduce the data for the different chop configurations separately, this source and the negative beams are obvious in each case, which confirms that the source is not spurious. This new bright source is discussed in Section 6.4. CHAPTER 2. SUBMILLIMETRE OBSERVATIONS AND DATA ANALYSIS Table 2.1: 850 sources in the GOODS-North region. SMM ID SMM Name RA DEC S850 /jm(mJy) SNR Comments Optical ID GN01 SMMJ123606+621556 12:36:06.7 62:15:56 7.3 + 1.5 4.9 New T GN02 SMMJ123607+621147 12:36:07.7 62:11:47 16.2 + 4.1 4.0 M GN03 SMMJ123608+621253 12:36:08.9 62:12:53 16.8 + 4.0 4.2 T GN04 SMMJ123616+621520 12:36:16.6 62:15:20 5.1 + 1.0 5.1 S GN05 SMMJ123618+621008 12:36:18.8 62:10:08 6.7 + 1.6 4.2 T GN06 SMMJ123618+621553 12:36:18.7 62:15:53 7.5 + 0.9 8.3 S GN07 SMMJ123621+621711 12:36:21.3 62:17:11 8.9 + 1.5 5.9 S GN08 SMMJ123622+621256 12:36:22.2 62:12:56 12.5 + 2.7 4.6 T GN09 SMMJ123622+621617 12:36:22.6 62:16:17 8.9 + 1.0 8.9 M GN10 SMMJ123633+621408 12:36:33.8 62:14:08 11.3 + 1.6 7.1 T GNU SMMJ123637+621156 12:36:37.2 62:11:56 7.0 + 0.9 7.8 S GN12 SMMJ123645+621450 12:36:45.8 62:14:50 8.6 + 1.4 6.1 S GN13 SMMJ123650+621317 12:36:50.5 62:13:17 1.9 + 0.4 4.8 S GN14 SMMJ123652+621226 12:36:52.2 62:12:26 5.9 + 0.3 19.7 HDF850.1a S GN15 SMMJ123656+621202 12:36:56.5 62:12:02 3.7 + 0.4 9.3 T GN16 SMMJ123700+620911 12:37:00.4 62:09:11 9.0 + 2.1 4.3 S GN17 SMMJ123701+621147 12:37:01.2 62:11:47 3.9 + 0.7 5.6 S GN18 SMMJ123703+621302 12:37:03.0 62:13:02 3.2 + 0.6 5.3 M GN19 SMMJ123707+621411 12:37:07.7 62:14:11 10.7 + 2.7 4.0 S GN20 SMMJ123711+622212 12:37:11.7 62:22:12 20.3 + 2.1 9.7 New T GN21 SMMJ123713+621202 12:37:13.3 62:12:02 5.7 + 1.2 4.8 T GN22 SMMJ123607+621020 12:36:07.3 62:10:20 14.4 + 3.9 3.7 S GN23 SMMJ123608+621429 12:36:08.4 62:14:29 7.0 + 1.9 3.7 s GN24 SMMJ123612+621217 12:36:12.4 62:12:17 13.7 + 3.6 3.8 T GN25 SMMJ123628+621047 12:36:28.7 62:10:47 4.6 + 1.2 3.8 S GN26 SMMJ123635+621238 12:36:35.5 62:12:38 3.0 + 0.8 3.8 S GN27 SMMJ123636+620659 12:36:36.9 62:06:59 24.0 + 6.1 3.9 M GN28 SMMJ123645+621147 12:36:45.0 62:11:47 1.7 + 0.4 3.8 New M GN29 SMMJ123648+621841 12:36:48.3 62:18:41 20.4 ± 5.7 3.6 M GN30 SMMJ123652+621353 12:36:52.7 62:13:53 1.8 + 0.5 3.6 S GN31 SMMJ123653+621120 12:36:53.1 62:11:20 2.8 + 0.8 3.5 T GN32 SMMJ123659+621453 12:36:59.1 62:14:53 5.3 + 1.4 3.8 T GN33 SMMJ123706+621850 12:37:06.9 62:18:50 21.7 + 5.8 3.7 N GN34 SMMJ123706+622112 12:37:06.5 62:21:12 5.6 ± 1.6 3.5 New T GN35 SMMJ123730+621056 12:37:30.8 62:10:56 14.3 + 3.9 3.7 N GN36 SMMJ123731+621856 12:37:31.0 62:18:56 24.8 ± 7.0 3.5 N GN37 . SMMJ123739+621736 12:37:39.1 62:17:36 6.8 + 1.9 3.6 New T GN38 SMMJ123741+621226 12:37:41.6 62:12:26 24.9 + 6.5 . 3.8 No ACS N GN04.2 SMMJ123619+621459 12:36:19.2 62:14:59 3.6 + 1.0 3.6 New, clean M GN20.2 SMMJ 123709+622206 12:37:09.5 62:22:06 11.7 + 2.2 5.3 New, clean S See Dunlop et al. (2004) for detailed counterpart analysis of this source. CHAPTER 2. SUBMILLIMETRE OBSERVATIONS AND DATA ANALYSIS 14 2.4 A 'cleaned' 850 map Although the negative sidelobes of a given source help to identify it as such, they can also interfere with other sources nearby. Since the super-map contains SCUBA data collected with different chop patterns, it is difficult to distinguish off-beams from examining the super-map alone. In order to overcome this problem, we adopted the following procedure. First, we constructed the super-map and extracted sources, as in Paper I. We then re-reduced the data, our starting point being a model consisting of the point sources (Fig. 2.3). This results in a map which was effectively cleaned of both the positive signal and the negative sidelobes of all detected sources. We then re-ran the source extraction algorithm to find any new sources. And finally we iterated the whole process several times to check that the source list is stable. We found 2 new sources after cleaning the 850 /xm super-map, 2 more are just below our > 3.5cr threshold. Both sources are within 30 arcsec of one of the initial sources therefore we call it a companion source. We derive the best estimate for the flux of both the initial source and the companion by fitting two Gaussians with variable positions and amplitudes to the data. These new detections may be the result of sources being extended, but this is unlikely given that 20 arcsec corresponds to ~ 150 kpc at z = 3. We can also rule out the possibility that these detections are a product of a non-circular Gaussian PSF, since, at 15 arcsec from the peak of a source, the difference between a typical SCUBA beam shape and a Gaussian could only give rise to a 3.5a detection if the initial source has a signal-to-noise ratio of at least 18. Given that the other explanations seem unlikely, we treat these as new sources and list them along with the others in Table 2.1. The companion sources are listed in the table with IDs that indicate which initial source they are close to and their possible counterparts are discussed in the next section. Since the negative sidelobes do not represent real features in GOODS-North, we have made our final super-map by re-inserting the sources, without their negative signature, into the cleaned map. This map (Fig. 2.2) is an honest representation of the sub-mm CHAPTER 2. SUBMILLIMETRE OBSERVATIONS AND DATA ANALYSIS 15 Figure 2.3: Model for 'cleaning' the super-map. White indicates positive signal and black is negative signal, the rest of the model map has zero signal. The initial 38 sources and their associated negative off-beams are clear. Notice that scan-map sources have a double-beam pattern, while the jiggle-map data, with a fixed chop on the sky, have a triple-beam pattern. This is because scan-mapping uses only single difference measurements, while jiggle-mapping is performs a double difference. Some sources appear to have no off-beams because of sky rotation, while the source at the top of the map, taken with 6 chop throws, shows multiple beams. CHAPTER 2. SUBMILLIMETRE OBSERVATIONS AND DATA ANALYSIS 16 data in the region. The beam patterns of all the > 3.5a sources have been removed, although "the map still contains the negative beams of the < 3.5a sources. Comparison of Fig. 2.2 with fig. 5 of Paper I shows the improvement. Due to the differential method in which SCUBA collects data, there is no sensitivity to the overall DC level in any image, and we expect the mean of-a SCUBA map to be consistent with zero. This is in fact the case for both the initial signal map and the cleaned map without the sources. However, because we are only adding the positive contribution of our sources back into the cleaned map, this final cleaned map with sources will have a slightly positive mean, indicating the presence of these sources. 2.5 450 fim observations and source list While the focus is normally on the 850 /xm observations in extragalactic sub-mm surveys, SCUBA simultaneously collects data at both 450 /xm and 850 /mi. The atmosphere in the shorter waveband is much worse than at 850 /xm and therefore observing conditions that are adequate for 850 /xm observations are not sufficient to provide high quality 450 /xm data. Nevertheless, we have reduced the 450 /xm data and compiled a new source list. Since Paper II, the JCMT announced that two of the bolometers in the 450 /xm array experience cross-talk, and therefore should be removed from any data taken since 19972. These bolometers could easily introduce false structure and sources in the 450 /xm super-map and therefore we do not use any of the data from them. There are 7 sources detected at > 4a in our 450/xm super-map (Table 2.2), and no sources detected at > 5a. In Table 2.2, we list the 3a upper limits at 850 /xm and also give comments on some sources. Paper II reported 5 detections at this wavelength. However, only one of these is in our new > 4a list. 2 others from Paper II (SMMJ123632+621542 and SMMJ123727+621042) are detected at 3.5-4.0a in the new map, but we stick with 2 h t t p : //www. j ach. hawaii. edu/JACpublic/JCMT/Continuum_observing/SCUBA/news-/message.html CHAPTER 2. SUBMILLIMETRE OBSERVATIONS AND DATA ANALYSIS 17 Table 2.2: 450 /mi source list: 7 candidate sources detected at > 4a. We list the 3a upper limits at 850 jum. SMM ID RA DEC 5450Mm 585oMm Comment (mJy) (mJy) SMM J123603+620942 12:36:03.0 62:09:42 192.7 ± 48.7 < 14.4 SMM J123631+620657 12:36:31.8 62:06:57 269.1 ±64.9 < 18.6 SMMJ123638+621012 12:36:38.6 62:10:12 77.2 ± 18.8 < 3.6 SMMJ123649+620918 12:36:49.7 62:09:18 141.0 + 28.8 < 6.6 SMMJ123657+622033 12:36:57.9 62:20:33 222.6 ± 55.3 < 7.8 New data in this region SMMJ123702+621012 12:37:02.6 62:10:12 111.4 + 25.4 < 5.1 Paper II SMMJ123747+621560 12:37:47.3 62:15:60 291.1 ± 70.5 < 10.2 New data in this region > 4a detections at 450 /mi since the data are already so noisy. The remaining Paper II 450/mi detections are not detected in the new map down to 3.5a. Given the two bad bolometers we have removed in addition to the poorly behaved noise (still partially correlated, since the sky is not accurately removed) and our new calibration procedure, this low detection rate of Paper II sources is not surprising. It is worth noting that none of the > 3.5a 850 /mi sources match up with > 3.5a 450 /mi sources. However, GN14 (a.k.a. HDF850.1) is the closest, with a 3.5-4.0a 450 /mi source 12 arcsec from the 850/mi position. There are no radio or X-ray sources in the vicinity of any of the 450 //m sources. Each source has from 0 to 7 optical sources within the search radius, but nothing stands out as a counterpart. The 450 /mi data in this survey really suffer from lack of the very best weather. Most of the super-map observations were completed in Grade 2 and 3 weather and high-quality 450 /mi data are achieved only in Grade 1. In good weather, 450 /im photometry would be able to detect most of the radio-detected 850 /zm sources and help with SED constraints. However, with the current quality of data, no 850 /xm is convincingly detected, although the stacked 450 /xm flux at the positions of the the 850 /im sources is mildly detected at (4.9 ±1.8) mJy. For comparison, the stacked 850 /mi flux of the 450 /mi sources is (—2.0 ± 0.8) mJy. A detection of negative sources, which CHAPTER 2. SUBMILLIMETRE OBSERVATIONS AND DATA ANALYSIS 18 we know must be spurious, would indicate poor reliability in the positive sources at each wavelength. In the 850 /xm map, we detect 4 negative sources not associated with the off-beam of a positive source, which is within the error bars of the number of spurious sources we expect from the Monte Carlo simulations (see Paper I), whereas in the 450 /xm map, there are 9 negative detections not associated with a positive source. Given these statistics and the only modest overlap with the 450 /xm sources in Paper II, we cannot be confident of the reality of any of the 7 new candidate 450 /xm sources. This is in contrast with the situation at 850 /xm, where there is extremely good agreement with the source list in Paper II. 2.6 Robustness of SCUBA sources In response to recent claims in the literature that radio-undetected sub-mm sources may be spurious (Greve et al., 2004; Ivison et al., 2002), we have performed additional statistical tests on the data in both the spatial and temporal domains. These tests, and the results, are discussed in detail in the appendix of this thesis. In summary, we find no indication in the statistics of the data that the radio-undetected sources are any less secure than the radio-detected sources and none of our 40 sources show significant inconsistencies in the raw temporal data. C h a p t e r 3 19 M U L T I - W A V E L E N G T H OBSERVATIONS The HDF-N is one of the most extensively studied regions of the sky, with deep data existing across all wavebands. Radio observations have been taken with the VLA over the whole super-map area at 1.4 GHz, and over a smaller region at 8.5 GHz (Richards et al., 1998; Richards, 2000). 1.4 GHz observations have also been made with the WSRT over the whole field (Garrett et al., 2000), and with MERLIN over a smaller region (Muxlow et al., 1999). The Chandra 2 Msec image (Alexander et al., 2003) provides the deepest X-ray survey of any part of the sky. Multi-wavelength properties of the Paper I source list, using primarily the radio and X-ray data, are presented in Paper II. Optical and near-IR data in Paper II were from the Capak et al. (2004) ground-based survey, however we now have the ACS data which provide deeper images and better angular resolution over the GOODS-North area. In Section 6, we show the effect of the increase in depth and resolution on identifying and studying optical counterparts of sub-mm sources. Here we describe the HST ACS optical observations and the ground-based near-IR observations which are the main focus of this thesis. 3.1 HST imaging Deep optical images of the super-map region have been obtained as part of GOODS. The GOODS North region is approximately 10 arcminxl6.5 arcmin centred on 12h36m55s, +62°14'15" (Giavalisco et al., 2004a). The Advanced Camera for Surveys (ACS) on HST was used to image the region with the F435W, F606W, F775W and F850LP filters (referred to as Bi35, Ve06, 2775 and z 8 5 0 ) respectively). The images were released to the public in August 2003 and the catalogues followed in December 2003 (Giavalisco et al., 2004b). CHAPTER 3. MULTI-WAVELENGTH OBSERVATIONS 20 The depths of this survey are on average a magnitude brighter than the original HDF in B435, V606 and i7y5 (Williams et al., 1996), but over an area that is 32 times larger. The GOODS survey includes the addition.of deep zgso-band'data (to zsso — 27), which extend object selection out to a redshift of ~ 6 using the Lyman-break technique (Dickinson et al., 2004). Source extractions omthe-zsso-band images have led to the detection of about 32,000 sources. Photometry has then been carried out in the other ACS bands through matched apertures, providing AB magnitudes in 4 bands for all -^detected sources. All measurements given in this paper use the full 5-epoch GOODS ACS images and cata-logues (Giavalisco et al., 2004b). 3.2 Near-IR imaging As part of the ground-based follow-up to GOODS, near-IR data were obtained using Flamingos at the Kitt Peak National Observatory (KPNO, Elston et al., 2003). These images provide coverage with more uniform sensitivity over the GOODS-North region than the Capak et al. (2004) HK' data, and in the standard J and Ks filters. The data were reduced by the GOODS team to produce a Ks selected catalogue with roughly 4,000 sources. These near-IR observations are still ongoing and, due largely to bad weather, the images are currently not as deep as the original goal. Nevertheless, they achieve a depth of Ks ~ 22.5(AB), which is comparable to the near-IR follow-up in other SCUBA surveys (Fox et al. 2002; Smail et al. 2002; Webb et al. 2003b). The GOODS ACS and near-IR catalogues from SExtractor calculate AB magni-tudes through a several different size apertures, in addition to providing isosphotal and MAG_AUT0 photometry measurements (see Bertin k Arnouts, 1996). In this paper, we use matched aperture photometry for determining photometric redshifts and colours, how-ever when single magnitudes are quoted they are the MAG-AUTO values. We quote the magnitude for sources detected at > 5cr and provide limits, based on the limiting magnitudes at each wavelength, for sources not detected at > 5cr. 21 C h a p t e r 4 D E R I V I N G OPTICAL PARAMETERS 4.1 Photometric redshifts Photometric redshifts have been estimated for a large sample of sources in GOODS-North (Mobasher et al., 2004). For this purpose, available data in the North consist of U (KPNO, Capak et al. 2004), B, V, R, I, z (SUBARU, Capak et al. 2004), J, Ks (KPNO) and .B435, V606, ^775, ^850 (ACS HST), providing up to 12 independent photometric points, although with a high degree of overlap between some of them. The object sample was selected using the ACS ^75-band image and then matched to the ground-based optical and near-IR data. Photometry was carried out through 3 arcsec diameter apertures after degrading all images to the PSF of the worst ground-based seeing (FWHM of 1.2 arcsec). The final photometric redshift catalogue contains 18,810 sources. These extensive photometric data have been used to calculate redshifts using both a x2 minimization technique (Puschell, Owen, & Laing, 1982) and a Bayesian method (Benitez, 2000). Spectral Energy Distribution (SED) templates consisted of the following galaxy types: E, Sbc, Scd, Im, and starbursts (see Benitez, 2000, and references therein). Tests of accuracy were performed using the GOODS-South photometric data, which were ob-tained before the Northern field, and it was found that both statistical techniques were equally consistent with spectroscopic redshifts out to z ~ 1 (Mobasher et al., 2004). At higher redshifts, the Bayesian method, which considers the redshift probability distribu-tion given the observed colours and the overall magnitude, gives better performance. We define the ODDS parameter as a quantitative measure of the accuracy of photo-metric redshifts (Benitez, 2000). This corresponds to the integral of redshift probability distribution within a 0.27(1 + -2phot) interval centered on zph0t- The ODDS would thus be 0.95 for a Gaussian with width a = 0.067(1 4- 2phot), and is closer to one for well CHAPTER 4. DERIVING OPTICAL PARAMETERS 22 0 1 2 " 3 4 Spectroscopic redshift Figure 4.1: Accuracy of photometric redshifts of proposed counterparts to the sub-mm sources in GOODS-North. There are 7 counterparts which have spectroscopic redshifts in the Cowie et al. (2004) catalogue. CHAPTER 4. DERIVING OPTICAL PARAMETERS 23 o u N + o N o N •"spec Figure 4.2: Photometric redshift residuals as a function of the spectroscopic redshift. CHAPTER 4. DERIVING OPTICAL PARAMETERS 24 constrained redshifts. In general, we reject any fits that have ODDS < 0.90 and consider the redshift estimate most reliable when ODDS > 0.99 (see Mobasher et al., 2004). As we discuss in. the next, section, many of our SCUBA galaxies have optical coun-terparts identified, while for the others there are several possible counterparts to decide between. We might expect that the sub-mm galaxies will fit best to the starburst or irregular galaxy templates. However, this is based on the assumption that the SEDs of high-redshift galaxies are similar to the SEDs of local ULIRGs, which of course may be incorrect. Moreover, the model templates for the starburst galaxies are not significantly reddened and do not show the ERO colours which are observed in a large fraction of SCUBA galaxies (Moustakas et al., 2004). Therefore, we allow the photometric data for the SCUBA galaxies to be fit to the full range of templates. In addition to using the ODDS value, we have looked at the redshift probability distributions for each of the sub-mm counterparts. This is useful for verifying a number of things, such as poorly constrained redshifts due to inconsistent photometric points, double peaks in the distribution, and inconsistent redshifts between the x2 a n d Bayesian techniques. In those cases, we have been able to fine tune the photometric fitting to provide better estimates for the photometric redshifts of the sub-mm sources. Objects with poor constraints on their photometric redshifts were not included in the analysis of this paper. Using the catalogue of all spectroscopic redshifts in the HDF-N (Cowie et al., 2004; Wirth et al., 2004, and references therein), the photometric redshifts have been shown to be accurate out to z ~ 2, with only 5 per cent of sources classified as catastrophic outliers (see Mobasher et al., 2004, for results in GOODS-South). At higher redshifts, there are few spectroscopic redshifts with which to compare. Although, the accuracy of photometric redshifts might become worse at high redshift, nevertheless galaxies with high photometric redshifts are likely to be at genuinely high redshift. Fig. 4.1 and Fig. 4.2 show how consistent the photometric redshifts are for those sub-mm sources that have spectroscopic redshifts in the Cowie et al. (2004) catalogue. CHAPTER 4. DERIVING OPTICAL PARAMETERS 25 4.2 CAS structural parameters One of the main advantages of the deep ACS images is the high resolution, which allows us to study the structure of the sub-mm counterparts. However, in many cases the optical counterparts are very faint, rendering the determination of detailed morphological information very difficult. In addition to providing a description of the morphology of each source, we have used the CAS system (Conselice, 2003) to quantitatively describe the optical structure of sub-mm galaxies. This system is appropriate for faint, high-redshift sub-mm sources, as it measures bulk morphological quantities which can be related to a galaxy's past and present physical processes. In the CAS system, three parameters are used to describe galaxies: Concentration (C); Asymmetry (A); and Clumpiness (S). For the optically faint SCUBA sources, the S parameter is unable to give us any reliable information, due to the low resolution of the images (Conselice 2003), and therefore we focus on C and A. We use the asymmetry index to indicate if the galaxy is undergoing a major merger and the concentration index to tell us how the light is distributed. The asymmetry parameter is basically measured by taking a galaxy, rotating it by 180°, and then subtracting it from the original image (although there are many details involved in this process, Conselice et al. 2000). The concentration index measures the ratio of the amount of light at the radii that contain 80% and 20% of the total amount of light (Bershady et al. 2000). The Petrosian radii can be used to give an estimate of the observed size of the galaxy (Petrosian, 1976). The Petrosian radius is simply the radius where the surface brightness within a thin annulus (of thickness 0.03 arcsec) at that radius is a fraction of the surface brightness within the radius. This ratio is the Petrosian index, n, and we use 0.2 to define the extent of the galaxy. It is well known that morphologies of galaxies evolve both with redshift and wave-length (Conselice, 2004), and therefore we must be very careful in how we interpret the CAS parameters of the sub-mm sample. Most morphology studies are done in the opti-cal, where deep, high resolution imaging is available. However, the longest wavelength ACS filter (z) samples the near ultraviolet for sub-mm galaxies* at' redshifts around 2.5. CHAPTER 4. DERIVING OPTICAL PARAMETERS 26 While morphologies change between the UV and optical for more evolved galaxies, this is less of a problem for starburst galaxies, which look fairly similar at the two wavelengths (Conselice 2004 and references therein). If we want to look at the rest-frame optical morphologies of the sub-mm sample, we need high resolution imaging at infrared wave-lengths. A small portion of GOODS-North is covered by deep NICMOS imaging of the HDF (Dickinson, 1999; Dickinson et al., 2000), however only 4 of the sub-mm sources are within this area. Nevertheless, we have measured the CAS parameters for these sources in both the NICMOS and ACS bands to see how the parameters change as a function of wavelength (see Section 6.3). 27 C h a p t e r 5 IDENTIFYING OPTICAL COUNTERPARTS Following the methodology for identifying radio and X-ray counterparts developed in Pa-per II, we take this as our starting point and attempt to make new optical identifications based on what we learned there. We adopt a simple 'top-hat' search radius of 7 arcsec and consider all sources within this search radius equally. 7 arcsec was determined as the optimum search radius from the Poisson statistics, discussed in Section 5.2 of this chap-ter. If there are M sub-mm sources, we first determine K, the number of sub-mm sources that have a radio counterpart within a radius R. We then calculate the probability of K, or more, of the M SCUBA objects having at least one counterpart within R at random (see Borys et al. 2004 for more details). This probability is minimized as a function of R. When we use the radio sources, a minimum is clearly found at R = 7 arcsec for both the > 4.OCT, and > 3.5cr sub-mm source lists. We also tested this with the X-ray sources and found the same minimum search radius. Due to the radio/far-IR correlation (Carilli & Yun, 1999, 2000), a radio source within the search radius will be favored as the counterpart. From the ACS optical images, there can be up to a dozen possible counterparts within our search radius. Using the reliable (ODDS> 0.90, see Section 4.1) photometric redshifts, we can eliminate some of these by imposing the condition that z > 0.5 for the majority of the sub-mm sources. This condition is determined by the fact that none of the 850 /im sources are detected at 450 /im. Assuming, for example, an Arp220-like SED, we can constrain the redshift from the lack of 450 /im flux. The condition z > 0.5 is quite conservative, given the redshift estimates from the radio/far-IR correlation (see table 5 of Paper II). However, without a large sample of spectroscopic redshifts, we cannot test the accuracy of the radio/far-IR correlation and how it may evolve with redshift. For this reason, we are hesitant to eliminate too many counterparts based solely on the photometric redshift and stick CHAPTER 5. IDENTIFYING OPTICAL COUNTERPARTS 28 simply to zph0t > 0.5. Once these low redshift sources have been removed, we then look at the radio-detected (RD) and radio-undetected (RU) sub-populations separately. 5.1 Radio-detected S C U B A sources We have used catalogues from all the radio observations in GOODS-North (described in Chapter 3 and Paper II) to identify radio counterparts to our sub-mm sources. We consider radio counterparts within 7 arcsec of sub-mm sources as secure and therefore an optical galaxy coincident with the radio counterpart is considered a secure counterpart. There are 16 secure RD SCUBA sources in our list and we have found optical counterparts to 15 of these in the GOODS optical and near-IR data. The last one is GN14, or HDF850.1, whose complicated counterpart is discussed in detail in Dunlop et al. (2004). GN15, also known as HDF850.2 (Hughes et al., 1998), was identified in Paper II with a faint radio source to the North. However, an X-ray detected LBG to the west was also mentioned as a possibility. Although there is absolutely no detection of the radio source in any of the optical or near-IR bands, the LBG/X-ray pair is coincident with a red ACS galaxy and has a weak radio signal just below the threshold. This source has a very low 850 fim flux and it is likely to be affected by confusion and flux boosting. Therefore although we cannot assign a secure optical counterpart, we now suggest the X-ray/LBG as a tentative identification. The closest optical galaxy to the radio counterpart of GN23 is 1.5 arcsec away so it is unclear whether this is the same system. The optical photometric redshifts and redshifts estimates from the radio/far-IR correlation (table 5 of Paper II) do not agree, and the colours of the optical galaxy are quite blue. However, there is also a faint smudge in the .Ks-band image directly on top of the radio source, below the ifs-band detection limit, which we identify as the counterpart. One other interesting source worth noting is GN17 which has multi-peaked radio emission within the search radius. The peak of the radio flux is coincident with a very faint (?775 ~ 28) optical source. A fainter radio peak (< 5cr) exists 3 arcsec to the west, CHAPTER 5. IDENTIFYING OPTICAL COUNTERPARTS 29 coincident with a brighter (z775 ~ 24) optical source with bluer colours. In Chapman et al. (2003c) the sub-mm emission is associated with the brighter optical galaxy, but the colours of this galaxy are not consistent with our other secure optical counterparts at similar redshifts. Sub-mm emission is more likely to trace the radio flux than the optical flux, and therefore we identify the sub-mm emission with the optically faint radio source. 5.2 Radio-undetected SCUBA sources The difference between the RD and RU sub-mm sources is not clear. Given no prior knowledge of the properties of sub-mm sources, we would have no way to distinguish between the half a dozen possible optical counterparts within 7 arcsec of a RU sub-mm source. However, at least half of all extragalactic SCUBA sources have radio counterparts and so we can use the optical properties of the RD sources to put constraints on the counterparts of the RU sources. In doing this we are not assuming that the properties of the RU must be identical to those of the RD, but we can use their properties as a guide, while considering how the properties might evolve with redshift, magnitude and 850 fxm. flux. We can use the population P statistics (see Paper II) to show how rare it is for the SCUBA sources to have ACS counterparts with particular colours within the 7 arcsec search radius (Table 5.1). We need to choose magnitude and colour cuts based on what we know about SCUBA galaxies. A lot of effort has been put into understanding the connection between Extremely Red Objects (EROs) and other high redshift populations. EROs are typically defined as having optical-to-infrared colours redder than some thresh-old, e.g. (I - AVega > 4.0, or (R - KVegA > 5.3 (e.g. Daddi, Cimatti, & Renzini, 2000). Paper II and other extragalactic SCUBA surveys have found a smaller percentage of EROs coincident with SCUBA galaxies than might have been expected. The 8 mJy sur-vey (Ivison et al., 2002) find that 18/30 SCUBA sources are radio-detected, 17 of which have an optical counterpart to the depths of the observations, but only 6 of these 17 are identified as EROs. Webb et al. (2003b) find that 10-20 per cent of the sources in the CHAPTER 5. IDENTIFYING OPTICAL COUNTERPARTS 30 Table 5.1: Poisson statistics for the ACS photometric redshift catalogue used for identi-fication of S C U B A sources. We have calculated statistics for all sources that meet the various colour criteria given in the first column. We give the number density of sources per counterpart search area (i.e. a circle with 7 arcsec ra-dius). #5% is the maximum separation within which there is only a 5 percent probability of finding a source of a given colour by chance. Therefore columns 2 and 3 tell us how rare sources are of each colour criteria whereas the last 2 columns provide a measure of how likely it is for these sources to be associ-ated with the sub-mm sources at random. We give the number N of the 40 S C U B A sources that have an identification within 7 arcsec and then p^+ is the random probability of N, or more, of the 40 S C U B A objects having at least one counterpart within 7 arcsec. We also calculated these statistics using only the > 4a sources and found consistent results. Criteria Number density 95% > 3.5a sources (40) (•K (7arcsec) 2) - 1 (arcsec) N pN+ A l l ACS sources i - Ka > 2.0 V.RO R-Ka> 3.7 ERO i - Ks > 2.5 E R O J- Ks > 1.0 4.54 0.22 0.05 0.09 0.52 Ks > 2.5 and J - K*> 1.0 0.05 0.74 40 p 4 0+ = 0.65 3.4 14 . p 1 4 + = 0.017 7.4 5 p5+ = 0.033 5.4 8 p8+ = 0.016 2.2 14 pu+ = 0.81 7.2 7 p7+ = 0.0025 CHAPTER 5. IDENTIFYING OPTICAL COUNTERPARTS 31 400 r ™ T 300 £ 200 100 0 I I I M I I I, i | I I I I I i i I I | I I i I i i I I I | i I I I I I I I I | I I I I I i I I I Irrr 11 i V i i i' i I i i i M i i i i I i i i I i I i I -1 0 Figure 5.1: Distribution of i 7 7 5 - Ks colours. A l l sources in GOODS-North with a detec-tion in both the ACS z'-band image and the Flamingos Ka image are included in the distribution. The mean, fi, is plotted as the dashed line and ±2o range is shown with the dash-dot lines. Recall that an E R O , as defined for these filters, has z775 — Ks > 2.5. CHAPTER 5. IDENTIFYING OPTICAL COUNTERPARTS 32 400 r 1 1 1 1 1 1 1 TT T—I— i—i—i—r n— i— i— i— I— i—i—m—I— i—i—i—i— I— i—r 300 £ 200 100 0 I—I •—t—^-1—11 I I I U_J 1__J I I I I J I I I I i i i l l -1.0 -0.5 0.0 0.5 1.0 1.5 2.0 J-K Figure 5.2: Distribution of J-Ks colours. All sources in GOODS-North with a detection in the Flamingos Ka and J images are included in the distribution. The mean, /i, is plotted as the dashed line and ±2a range is shown with the dash-dot lines. CHAPTER 5. IDENTIFYING OPTICAL COUNTERPARTS 33 CUDSS survey are EROs, but state that many more are likely to be EROs below the detection limits. These surveys reached limits of I ~ 25 and K ~ 22.5. Although the Ks-band data in GOODS North are similar to that of other surveys, the 2775-band data are much deeper, and allow us to detect more EROs. Frayer et al. (2004) report on the J — Ks colours of sub-mm galaxies and argue that they can be used to help identify candidate counterparts. They find that the sub-mm galaxies are either faint in the near-IR (i^vega < 19) and very red ((J — -fQvega > 3) or brighter in the near-IR and with (J — Ks)veg& ~ 2. The numbers in Table 5.1 tell us that the EROs (as defined by their i775 — Ks colours) within 7 arcsec of SCUBA sources, which also have red J — Ka colours, have less than a 10 -3 chance of being randomly associated. However, the Poisson probability of association for any specific candidate is not low enough for this to be any more than a statistical guide. Nevertheless, Table 5.1 shows that i775 — Ks > 2.5 and J — Ks > 1.0 is a better overall criterion than simply i775 — Ks > 2.5 or R — Ks > 3.7, and that any of these are a vast improvement over selecting ACS sources in a colour-blind way. Fig. 5.1 and Fig. 5.2 show the distribution of these colours for all the ACS sources in GOODS-North which are detected in the near-IR. These give another representation of how rare these colour cuts are. The results from other sub-mm surveys, discussed in the previous paragraphs, are biased towards the RD sub-mm sources. So, what do we do to choose among the optical counterparts of the RU sources? We have used two statistical techniques utilizing colours, redshifts and 850 fim fluxes to determine the correct optical counterpart for a given SCUBA source. We have applied these to both the RD and RU sub-samples to ensure that we can retrieve the correct counterparts to the RD sources. In other words, we have used the RD sources as a 'training-set' to try to find the counterparts of the RU sources. The first technique uses simple colour cuts, based on the RD colours and fluxes, tuned by hand so that we would select the correct optical identification out of all the candi-dates within 7 arcsec. We also performed a Principal Component Analysis to characterize sub-mm counterparts by the logarithm of their 850 fluxes, their 2775 — Ks and J — Ka colours and their i775 magnitudes... By minimizing the spread in a linear combination of CHAPTER 5. IDENTIFYING OPTICAL COUNTERPARTS 34 these parameters for the secure identifications, we derive a combination which describes the sample, and then use that and its spread to decide amongst possible counterparts for the RU SCUBA sources. We tried many combinations of parameters and found that the best fit coefficients for the log(F85o), 7^75 — Ks, J — Ks and z7 7 5 magnitude of the sub-mm sources are 1.0, -0.35, 0.30, -0.008, respectively. Using these values, the most likely optical counterpart within the search radius will have a linear combination of these parameters that closest to the average value found for the radio-detected sources. Both techniques are successful at finding all the correct RD counterparts, and using both meth-ods we find tentative counterparts for another 13 of the SCUBA sources. We also tested these techniques to see how many false identifications we might expect. By simulating sub-mm sources at random positions in GOODS-North, our selection techniques found counterparts for these fake sources only 5 per cent of the time. We are therefore confident that these new counterparts are quite trustworthy. Chapter 6 35 RESULTS A N D DISCUSSION We have identified unique optical counterparts for 15 RD and 13 RU sub-mm sources, which makes 74 per cent of our sample optically identified. An additional ~ 18 percent have multiple counterparts that meet our selection criteria. Therefore, over 90 per cent of the sub-mm sources in GOODS-North have optical counterparts, making it close to complete. These results are similar if we only consider the > Aa sub-mm sources or the brighter sub-mm sources. The ACS and near-IR Flamingos images have revealed new optical counterparts, not present in shallower surveys. Table 6.1 lists the sub-mm sources which have optical counterparts, along with their associated colours and redshift information. Note that we have left out GN14, also known as HDF850.1, since the counterpart to this source is complicated as discussed in detail in Dunlop et al. (2004). The RD counterparts are all considered 'secure', while the RU counterparts are marked as 'tentative'. In this table, the RA and DEC are the coordinates of the optical/near-IR counterpart to the sub-mm source. The 2775 given is the SExtractor MAG_AUT0BA96, while the photometry for the colours comes from matched apertures. If the source is not detected in a band, and we cannot obtain useful constraints from the limits, then the entry is left blank. If the photometric redshift column is blank then the source is too faint to make a reliable (ODDS> 0.90) photometric redshift estimate. The spectroscopic redshifts are from Cowie et al. (2004), which tabulates all published redshifts in the HDF region from various groups. The SMA and ALMA will be able to resolve the exact sub-mm positions and make secure identifications in the absence of a radio counterpart. In addition, Spitzer, specif-ically MIPS 24/xm, will soon improve the situation. Although the resolution is poor, the MIPS 24 /xm population should show a high correlation with both the RD and RU SCUBA sources. Meanwhile, we can make progress by studying the properties of these CHAPTER 6. RESULTS AND DISCUSSION 36 new RU counterparts and assessing how they compare to the RD sources, as well as comparing with what we might have expected for sub-mm galaxies. 6.1 Redshift distribution • ,,. • The photometric redshifts for our sub-mm sample are listed in Table 6.1. We have only given the photometric redshifts when it has an ODDS parameter of > 0.90. 7 of the counterparts have published spectroscopic redshifts, and in all but one case the photometric redshift agrees to within 10 per cent (see Fig. 4.1 and Fig. 4.2). Although there is little difference, we have adopted the spectroscopic values for these sources for the analysis of this paper. Redshift constraints, based on the radio/far-IR correlation (Carilli &; Yun 1999, 2000), have been discussed in Paper II and are in general agreement with the optical photometric redshifts within the error bars. In Paper II, one disparity was the photometric redshift of GN22 from Barger et al. (2002) which was inconsistent with the radio photometric redshift. This source now has a secure ACS photometric redshift that is within the radio photometric redshift range. In Fig. 6.1, we plot the distribution of redshifts for all our sub-mm sources, which has a median redshift of 1.9 and a quartile range of 1.3-2.6. For comparison, we have also plotted the distribution from spectroscopic studies. Chapman et al. (2003b) have targetted a sample of sub-mm bright (S^o^m ^ 5) RD sources to obtain a median redshift of 2.4. Our sample has a significant number of fainter 850 /xm sources, which tend to be at lower redshifts (Fig. 6.3). Table 6.2 shows that we find a median of 2.2 if we are restricted only to this sub-population.. A Kolmogorov-Smirnov (KS) test does not find that our full distribution, or the bright RD sub-sample, to be significantly different from that of Chapman et al. (2003b). Our median value is slightly lower however, which may be because photometric redshift estimates are not affected by the 'redshift-desert' at z ~ 1.5 apparent in the Chapman et al. (2003b) distribution. One might expect our full distribution to go out to higher redshifts since we are not constrained by the radio observations. Fig. 6.1 shows no evidence for such a high redshift tail. However, our CHAPTER 6. RESULTS AND DISCUSSION 37 Table 6.1: Properties of optical and near-IR sub-mm counterparts. The SMM ID for the > 4cr sources is bold-faced. S M M ID R A DEC 5850/xm 1775 mag Optical colours Redshift (mJy) (AB) R - K s *775 — Ks J — Ks Phot Spec Radio-detected sub-mm sources G N 0 4 12:36:16.12 62:15:14.0 .-5.1 ± 1 . 0 . - , . .26.2 ± 0 . 1 .3.0 2-7 > 1.2 2.94 G N 0 6 12:36:18.40 62:15:50.9 7.5 ± 0.9 27.4 ± 0 . 4 3.6 3.3 > 1.4 1.60 G N 0 7 12:36:21.31 62:17:08.6 8.9 ± 1 . 5 27.8 ± 0 . 4 G N U 12:36:37.34 62:11:51.9 7.0 ± 0.9 28.1 ± 0 . 3 G N 1 2 12:36:46.07 62:14:49.2 8.6 ± 1.4 26.2 ± 0 . 2 2.2 2.0 > 1.0 1.70 G N 1 3 12:36:49.72 62:13:13.4 1.9 ± 0 . 4 21.6 ± 0 . 0 0 8 2.0 1.6 1.0 0.52 0.475 G N 1 6 12:37:00.30 62:09:09.9 9.0 ± 2 . 1 26.7 ± 0 . 7 > 4.5 4.6 > 1.6 1.68 G N 1 7 12:37:01.60 62:11:46.7 3.9 ± 0 . 7 27.7 ± 0.5 3.6 3.2 1.6 1.72 G N 1 9 12:37:07.21 62:14:08.5 10.7 ± 2 . 7 25.4 ± 0 . 1 3.7 3.7 > 1.8 2.15 GN22 12:36:06.86 62:10:21.7 14.4 ± 3 . 9 24.6 ± 0.07 3.5 3.2 1.4 2.35 GN23 12:36:08.59 62:14:35.8 7.0 ± 1.9 > 28.0 GN25 12:36:29.16 62:10:46.5 4.6 ± 1 . 3 22.8 ± 0 . 0 3 4.1 3.1 1.3 1.01 1.013 GN26 12:36:34.53 62:12:41.3 3.0 ± 0 . 8 22.7 ± 0 . 0 2 3.0 2.4 1.0 . 1.24 1.219 GN30 12:36:52.77 62:13:54.7 1.8 ± 0 . 5 22.7 ± 0 . 0 1 1.0 0.8 0.4 1.44 1.355 G N 2 0 . 2 12:37:08.84 62:22:02.8 11.7 ± 2 . 2 24.7 ± 0.07 3.91 Radio-undetected sub-mm sources G N 0 1 12:36:06.70 62:15:51.0 7.3 ± 1 . 5 23.3 ± 0.02 1.2 1.1 0.7 3.70 2.415 G N 0 3 12:36:09.12 62:12:54.4 16.8 ± 4 . 0 27.6 ± 0 . 6 2.10 G N 0 5 12:36:19.13 62:10:04.4 6.7 ± 1.6 24.9 ± 0 . 2 4.0 2.8 > 1.3 2.60 G N 0 8 12:36:21.38 62:12:53.2 12.5 ± 2 . 7 24.0 ± 0.05 1.8 1.5 > 1.1 2.12 G N 1 0 12:36:33.25 62:14:11.5 11.3 ± 1 . 6 23.7 ± 0 . 0 2 1.3 1.2 0.4 1.44 1.344 G N 1 5 12:36:55.79 62:12:01.1 3.7 ± 0 . 4 24.3 ± 0.07 2.8 2.2 0.9 G N 2 0 12:37:11.69 62:22:13.5 20.3 ± 2 . 1 26.5 ± 0.2 G N 2 1 12:37:13.59 62:12:05.2 5.7 ± 1.2 25.7 ± 0 . 3 5.89 GN24 12:36:12.01 62:12:22.2 13.7 ± 3 . 6 . 24.7 ± 0 . 0 9 2.5 2.2 > 1.4 2.91 GN31 12:36:53.59 62:11:15.6 2.8 ± 0 . 8 23.0 ± 0.03 1.7 1.2 0.7 0.96 GN32 12:36:58.72 62:14:59.3 5.3 ± 1.4 27.8 ± 0 . 4 GN34 12:37:07.28 62:21:15.8 5.6 ± 1.6 23.9 ± 0 . 0 4 4.0 2.9 1.1 1.00 GN37 12:37:38.30 62:17:36.5 6.8 ± 1.9 23.1 ± 0 . 0 2 0.9 0.9 0.8 3.47 3.19 CHAPTER 6. RESULTS AND DISCUSSION 38 3 -0 I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I M I I I I I I I I I I I I I I I I 1 ' 1 1 1 » • ' ' 1 ' ' ' I I i i i i I i i i i I i i I I I i i \ ^ i i i i i I i i i i I i i i 0 1 2 3 4 5 6 Redshift Figure 6.1: Redshift distribution of sub-mm sources. This plot shows the distribution for all of our sub-mm sources (solid line) based on photometric redshifts. The dashed line is the distribution from Chapman et al. (2003b) of radio-selected sub-mm-bright sources. CHAPTER 6. RESULTS AND DISCUSSION 39 I I I I I I I I I | I I I I I I I I I | I I I I I I I I I | I M I I I I I I | I I I I I I I I I | I I I I I I I I I 4 1 •HP OLA la^a^..l J - L j Jj 1.1 . U -LL..I. J . . .L.J-L..l.^ 0 3 4 Redshift Figure 6.2: The distribution of our sub-mm sample has been split up into the radio-detected sources (dot-dash line) and the radio-undeteted sources (shaded region). CHAPTER 6. RESULTS AND DISCUSSION 40 Table 6.2: Median photometric redshifts for sub-mm galaxies in GOODS-North. Source type # of sources Median redshift Quartile range Bright sub -mm sources with Sg50 >5mJy • Radio-detected 7 2.15 1.68-2!94 Radio-undetected 9 2.42 1.72-3.05 All 16 2.25 1.69-2.93 All sub-mm sources Radio-detected 12 1.69 1.29-2.25 Radio-undetected 10 2.27 1.34-2.91 All 22 1.91 1.34-2.60 results may be biased by selection effects (i.e. galaxies must be detected in the optical to be in our sample) and systematic uncertainties in the photometric redshifts. Fig. 6.2 shows how the distributions of our RD (dot-dash line) and RU (shaded region) sources compare. While the former clearly peaks just before z ~ 2, the RU sources are spread over a broad range of redshifts. However, with a KS test, we cannot rule out the possibility that these samples are drawn from the same distribution. Assuming a ULIRG SED, we generally expect that SCUBA sources at redshifts < 2 to have radio counterparts, although it is possible for the lower sub-mm flux sources to be below the radio detection limit even at lower redshifts. The 2 RU sources with the lowest 850 /im flux also have the lowest redshifts which is consistent with this idea. The median redshifts for these different sub-samples are shown in Table 6.2. For both the bright sub-mm source and the full sample, the median for the RU sources are slightly higher, however the quartile ranges overlap significantly, and the low number statistics make it difficult to draw any firm conclusions. Our current understanding of sub-mm sources comes primarily from the RD sub-CHAPTER 6. RESULTS AND DISCUSSION 41 population, therefore determining the differences between RD and RU sub-mm sources is very important. It is entirely possible that the RU SCUBA sources sample into the high-redshift tail of the distribution. On the other hand, as temperature and redshift are degenerate, the lack of radio flux could also be because these galaxies are cooler. It may be that it is not completely correct to assume that the SEDs of high-redshift SCUBA galaxies are similar to those of local ULIRGs, in which case the RU SCUBA sources could be intrinsically different from the radio-detected population. In Fig. 6.3 and Fig. 6.4 we plot the 850 //m flux as a function of redshift and i775 magnitude, respectively. Although the dynamic range in the sub-mm flux density is small, we do notice that the fainter sub-mm sources stand out from the rest of the sources in both plots. Recall that because of the negative K-correction at 850 /mi, the observed flux density for a galaxy with a specific luminosity is essentially constant past 2 ~ 1, meaning that fainter SCUBA sources are typically intrinsically less luminous (Blain et al., 2002). It is not clear that there is one reason why there are appear to be correlations in Fig. 6.3 and Fig. 6.4, however we suspect it is a mixture of several effects: (i) A higher 850 /im flux should correspond to a higher far-IR luminosity which implies a higher dust content, leading one to expect brighter sub-mm sources to be fainter in the optical. (ii) The evolution of ULIRGs is a strong function of redshift (Blain et al., 2002, and references therein), so the highest far-IR luminosity sources (and hence higher 850//m flux sources) are more common at high redshift. The fainter galaxies at lower redshifts could be less extreme star-forming galaxies, consistent with LIRGs, rather than ULIRGs, for example. (iii) There are possible selection effects to do with counterpart selection, limiting magnitudes of the optical data and sources of which we can get reliable photometric redshifts. (iv) We have small number statistics, and a small dynamic range in the 850 /im flux density. CHAPTER 6. RESULTS AND DISCUSSION 42 We tested the correlations in Fig. 6.3 and Fig. 6.4 by choosing an optical counterpart at random within the sub-mm search radius and plotting the results. These plots did not show any of the correlations that are found for the true sub-mm counterparts. We therefore conclude that these are genuine effects in our data, although we have no clear explanation as of yet. 6.2 Optical and near-IR colours Table 6.1 lists the colours and i775-band magnitudes for all the sub-mm counterparts. The average magnitude in i 7 7 5 is around 25 for both the RD and RU sub-mm sources. All but one of the counterparts is detected in i775 indicating that the depth of this survey is sufficient for identifying the majority of sub-mm sources in the optical. The left panel of Fig. 6.5 shows that a significant number of the sub-mm counterparts track the bright envelope of the Hubble diagram, i.e., they are amoung the most luminous galaxies at their redshifts. The remainder are within 1-2 mags of the bright envelope of the luminosity distribution. The bright KA magnitudes make the sub-mm sources much redder than other populations at similar redshifts (Fig. 6.6). The average i775 — KS colour for all the ACS sources in GOODS-North is 1.4 with a standard deviation of 0.8. If we restrict this to high redshift (z > 1), then the average is higher (i775 — KS ~ 2.0, standard deviation of 0.9), however the sub-mm sources are redder still, with an average colour of i77$—KS ~ 2.3 (standard deviation of 1). Fig. 6.5 and Fig. 6.6 do not show a striking difference between the RD and RU sources, however the RU sources are slightly less red at a given redshift. An ERO as defined through these filters corresponds to (i775 — KS)XB > 2.5. With this criterion, 65 per cent of the RD sources with a near-IR counterpart are EROs, while only 22 per cent of the RU sources with a counterpart in the near-IR are EROs. This is a much higher ERO fraction for the RD sources than previous SCUBA surveys, which is because of the depth of the ACS data. If our detection limit in 2775 had only been 25, then we would only have found 2 EROs as counterparts to RD sources. Furthermore, half of our optical counterparts would not have been detected at this lower magnitude CHAPTER 6. RESULTS AND DISCUSSION 43 1 10 850 Jim f lux Figure 6.3: Photometric redshifts as a function of 850 //m flux density on a logarithmic scale. The solid symbols are the RD sources while the open symbols are the RU sources. The squares denote sources which have spectroscopic redshifts, while the circles have photometric redshift estimates. The dashed horizontal line indicates a flux of 5 m Jy, above which the majority of the Chapman et al. (2003b) sources lie. CHAPTER 6. RESULTS AND DISCUSSION 44 28 26 a •f 24 22 " i 1 1 1 1 1 — r j i i i_ 10 850 Lim flux Figure 6.4: i 7 7 5 magnitude as a function of the 850 /xm flux on a logarithmic scale. The solid symbols are the RD sources while the open symbols are the RU sources. The squares denote sources which have spectroscopic redshifts, while the circles have photometric redshift estimates. The dashed horizontal line indi-cates a flux of 5 mJy, above which the majority of the Chapman et al. (2003b) sources lie. CHAPTER 6. RESULTS AND DISCUSSION 45 limit. Therefore the depth in i 7 7 5 is key for determining the degree of redness and finding counterparts. J—K colour can also be used to give a measure of the redness of a galaxy, particularly at higher redshifts. Franx et al. (2003) argue that high redshift galaxies (z > 2) can be selected based on (J—K)yega, > 2.3, which corresponds to ( J — ^ s ) A B > 1-4. The sub-mm sources that make this near-IR colour cut are mostly around redshift 2, and there are higher redshift sources with lower J — Ka values. Since the near-IR data in GOODS-North does not currently reach the same depth as the GOODS-South near-IR data used in Franx et al. (2003), we cannot detect as many sources with extreme near-IR colours. However, several of our sources, while detected in K, are below the detection limit in J. We do not detect any sub-mm sources with (J — K)yegai > 3 and therefore cannot test the idea in Frayer et al. (2004), that sub-mm galaxies, which are near-IR faint, are extremely red in the near-IR. However, the J — Ka colours we do measure are consistent with the colours found in Frayer et al. (2004) for the near-IR bright sub-mm galaxies. As we saw in Fig. 6.5, our sub-mm sources are bright in the near-IR at all redshifts. Pozzetti & Mannucci (2000) discuss the two main types of EROs, namely elliptical galaxies at z ~ 1 and starburst galaxies. When plotted in a colour-colour diagram, the EROs with 1 < z < 2 are clearly a separate population. Bergstrom & Wiklind (2004) show that outside this redshift range ellipticals contaminate the starburst section of the plot and the near-IR colours no longer separate the two ERO populations. In Fig. 6.7, we show the colour-colour plot for the ACS field galaxies with the sub-mm galaxies highlighted. Above the ERO cutoff, all the sub-mm galaxies lie on the starburst side of the Pozzetti & Mannucci (2000) cut-off. It is a good check to see that all of the sub-mm sources which are EROs and are at 1 < z < 2 are consistent with starburst galaxies. While the differences are not huge, it is interesting that the RU sub-mm sources show less extreme colours than the RD sources, even though they were effectively selected with the same colour cuts. This is also seen in the lower fraction of EROs found for RU sources. We might expect the RU sources to be at higher redshifts and also to be redder, but we have shown in the previous section that the RU and RD sources appear CHAPTER 6. RESULTS AND DISCUSSION 46 23 22 21 20 j 19 18 i i i i * i i i I* i i i i j i 0 ... •• •. .T.~ v v ^ V . v ; : . , . -l^J—I—I—I—I I I I I I 1 I I I I I I I I I I I I i i i i I i i i i i i i i i 1 2 3 Photometric redshift Figure 6.5: Ks magnitude of sub-mm counterparts as a function of redshift compared with field galaxies. All galaxies from GOODS-North with reliable photometric redshifts (ODDS < 0.90) and 5<7 detections in Ks are plotted along with the sub-mm counterparts. Again, the solid symbols are the RD sources while the open symbols are the RU sources, with squares and circles denoting sources with spectroscopic and photometric redshifts, respectively. CHAPTER 6. RESULTS AND DISCUSSION 47 0 1 2 3 4 Photometric redshift Figure 6.6: Colour of sub-mm counterparts as a function of redshift compared with field galaxies. All galaxies from GOODS-North with reliable photometric redshifts (ODDS < 0.90) and 5a detections in Ks and ^ 775 are plotted along with the sub-mm counterparts. Symbols are the same as plotted in Fig. 6.5. The horizontal line is the conventional ERO cut-off. CHAPTER 6. RESULTS AND DISCUSSION 48 3 1 - | — i — i — r ~ i — i — i — r l — i — i — r - i— v —i—r 0 ; .:^:"---V"--':''fte?%'.'".' • • r> _l t I l_ J I I l_ -J I I l_ _l I I 1_ _l I I L _ -0.5 0.0 0.5 1.0 J-K 1.5 2.0 Figure 6.7: Near-IR colour-colour plot. Dots are field galaxies from the GOODS cata-logue. All sub-mm sources with reliable photometry through all 3 filters are presented as diamonds, with limits shown as arrows. The large symbols are the sub-mm sources with 1 < z < 2. According to Pozzetti &; Mannucci (2000), within this redshift range, sources which are starburst EROs, as op-posed to ellipticals at z ~ 1, are expected to have red J — Ke colours and fall to the right of the diagonal line in the colour-colour plot. The horozontal line is the the traditional ERO cutoff through our filters. CHAPTER 6. RESULTS AND DISCUSSION 49 to have quite similar redshift distributions. This difference seems to be significant and not obviously due to selection effects. 6.3 Internal structure Sub-mm galaxies at high redshift are expected to evolve into the massive ellipticals in the local Universe (e.g. Lilly et al., 1999). Their luminosities imply high star-formation rates and their volume density is consistent with local giant elliptical galaxies (e.g. Chapman et al., 2003b). To investigate if sub-mm galaxies are indeed evolving into massive ellipticals, we can study their morphologies. The few sub-mm galaxies that have been studied with deep, high-resolution optical observations show a range of morphologies, with a significant number showing asymmetries, consistent with early-stage mergers (Smail et al. 1998; Ivison et al. 2002; Chapman et al. 2003c; Conselice et al. 2003b; Clements et al. 2004). The effects of distance and extinction on the morphologies of the sub-mm selected sample are very significant; most of the counterparts are very faint and therefore the CAS parameters are difficult to measure accurately. While in the local Universe we define a merger as having an asymmetry of > 0.35 (Conselice, Chapman, & Windhorst, 2003), we cannot make such a cut at higher redshifts since the asymmetry parameter decreases as a function of wavelength, as it gets harder to measure. We must therefore use the photometric redshifts in order to compare the structure of sub-mm sources to the morphologies of other high-redshift sources within GOODS North. We can do this as a function of 2775 magnitude as well, although we may be biasing the comparison sample by only choosing other faint galaxies. Table 6.3 summarizes the morphologies of the sub-mm sample in GOODS-North. In addition to measuring the CAS parameters and the radius, we have examined the images and classified each by eye. The results of this classification are listed in the comments column of the table. Even when looked at as a function of redshift, the sub-mm galax-ies show a wide range of morphologies. Although the concentration, asymmetry and radius on their own do not separate the sub-mm sources from the field galaxies, when CHAPTER 6. RESULTS AND DISCUSSION 50 Table 6.3: Morphological parameters for sub-mm sources. 'C and 'A' are the concentra-tion and asymmetry parameters, respectively, while 'dC and 'dA' are their associated errors. 'Petr R' is the Petrosian radius in units of arcsec. These are the raw CAS parameters (see Coselice 2003) and have not been corrected for redshift. Bold-faced redshifts are spectroscopic (Cowie et al., 2004), while the rest are photometric. The Comments column is based on a visual inspection by-eye analysis of the ACS images. LSB is low surface brightness. S M M ID 1775 mag Redshift C dC A dA Petr R Comment I. Low redshift, normal C A parameters: z < 1.5, A < 0.15 GN13 21.6 0.475 2.98 0.05 0.12 0.03 2.15 normal, disk-like GN34 23.9 1.00 3.25 0.06 0.09 0.13 1.57 large, disk-like GN25 22.8 1.013 2.75 0.03 0.06 0.09 2.37 asymmetric II. Low redshift, higher asymmetry: z < 1.5, A > 0.15 GN31 23.0 0.96 2.13 0.06 0.17 0.06 1.26 diffuse , LSB GN26 22.7 1.219 3.43 0.04 0.28 0.05 2.29 asymmetric GN30 22.7 1.355 3.06 0.10 0.36 0.02 0.97 double, asymmetric, bright GN10 23.7 1.344 3.45 0.12 0.30 0.03 0.90 compact III. Mid/high redshift, negative/ noise-dominated asymmetry z > 1.5 , A < 0 or dA > 0.1 GN06 27.4 1.60 2.92 0.07 -0.03 0.17 0.89 faint smudge GN12 26.2 1.70 3.32 0.10 -0.04 0.15 0.65 faint GN17 27.7 1.72 1.99 0.03 0.03 0.18 2.08 faint, fuzzy GN08 24.0 2.12 2.23 0.04 0.05 0.13 1.48 faint, large, diffuse GN19 25.4 2.15 3.05 0.09 0.03 0.13 0.80 compact, some-diffuse GN22 24.6 2.35 2.91 0.17 -0.12 0.08 0.49 normal, compact GN04 26.2 2.94 2.91 0.17 0.11 0.09 0.44 pair, double GN24 24.7 2.91 2.69 0.04 0.04 0.15 1.28 very diffuse, LSB GN20.2 24.7 3.91 2.40 0.06 -0.12 0.25 1.22 diffuse, LSB IV. High redshift, higher asymmetry: z > 2.4, A > 0.15 GN01 23.3 2.415 •2.79 0.28 0.23 0.003 0.31 compact GN37 23.1 3.19 2.41 0.08 0.43 0.03 0.94 double, asymmetric V . Unknown redshift GN07 27.8 2.61 0.17 -0.70. 0.30 0.43 very faint G N U 28.1 2.28 0.30 0.34 0.14 0.36 compact GN15 24.3 2.22 0.04 -0.15 0.20 1.92 asymmetric structure GN20 26.5 2.37 0.17 0.14 0.19 0.42 faint, asymmetric GN32 27.8 2.57 0.20 0.11 0.15 0.43 very faint CHAPTER 6. RESULTS AND DISCUSSION 51 coupled with the redshift and i 7 7 5 magnitude, we are able to classify our sample into several groups, namely: low redshift, normal CA parameters (Group I); low redshift, higher asymmetry (Group II); mid/high redshift, riegative/noise-dominated asymmetry (Group III); high redshift, higher asymmetry (Group IV); and unknown redshift (Group V). Groups II and IV both show high asymmetry, which is consistent with merging sys-tems. Unfortunately the largest group is III, which contains either negative asymmetries, meaning that the sky dominated the calculation, or noise-dominated asymmetry mea-surements. In an attempt to remove the strong effects of the sky, we tried measuring the parameters at half the radius, but found no improvement and reduced asymmetries. This is expected since the asymmetry parameter tends to pick up the larger scale structure in the galaxies which may be removed at smaller radii. All parameters in Table 6.3 were measured in the ACS z 85crband image because we want to sample as close as we can to the rest-frame optical. However, we also looked at the parameters in the i 7 75 and 7^75 + 2850 image. While the latter image has better signal-to-noise ratios, it did not make a significant improvement to the measurements. Fig. 6.8 shows how the sizes of sub-mm galaxies compare to the field galaxies. We have plotted all sub-mm sources with i 7 7 5 < 25 and a reliable photometric redshift (ODDS> 0.90). Note that we have restricted the magnitude since it becomes difficult to measure the morphology parameters at fainter magnitudes. Therefore we are com-paring the brighter sub-mm counterparts to the brigher field galaxies at each redshift. The Petrosian radius of the sub-mm galaxies is larger than the ACS field galaxies at essentially all redshifts. A KS test tells us that for z < 2 or i 7 7 5 < 25 (which is more or less equivalent) the probability that the SCUBA galaxy sizes are drawn from the size distribution of field galaxies is < 5 per cent. At higher redshifts or fainter magnitudes, the hypothesis that they have the same size distribution cannot be rejected because of smaller numbers. In terms of asymmetry and concentration, the KS test against the ACS field galaxy distributions fails to provide constraints, as we might expect from the broad range of C and A values shown in Table 6.3. As another approach, we have taken a sample of local ULIRGs and normal galaxies CHAPTER 6. RESULTS AND DISCUSSION 52 o 1 l-H cd s 3.0 2.5 2.0 1.5 1.0 0.5 T T i i i i TTi I i i i — i — i — i — i — i — i — I — i — i — i — i — i — i — i — i — i — I — i — i — i — i — i — i — i — i — r /1 v,->v':.-:'. 0.0 J—I—I—I—I—I I I I I I I L_l I I I I I I I I I I I I I I I I I I I I I I I I I 0 2 Redshift Figure 6.8: Sizes of SCUBA galaxies. The Petrosian radius (in units of arcsec) is plotted as a function of redshift. Solid symbols are the RD sub-mm sources and the open symbols are the RU sub-mm sources. Sources with spectroscopic redshifts are plotted as squares and those with photometric redshifts are denoted by circles. Note that there is an excess of galaxies with a measured Petrosian radius of ~ 0.3 as this is the minimum measurable radius. CHAPTER 6. RESULTS AND DISCUSSION 53 and simulated how they would look in the GOODS ACS images at higher redshifts and then measured their CAS parameters (Conselice, 2003). In this way, we directly compare the CAS parameters of the sub-mm sample to more specific high-redshift populations. These simulations involve adding noise, rebinning the data to degrade the resolution and decrease the observed size of the galaxy, and adjusting the relative contributions from sky and signal emission (see Conselice 2003 for more details). These simulations do not include any morphological -^correction. We have simulated the appearance of these galaxies at both z ~ 1 and z ~ 2. We expect the sub-mm sample to look most like the ULIRGs at z ~ 2, since this is closer to the median redshift of the sub-mm galaxies. Fig. 6.9 shows the distribution of the Petrosian radius for the sub-mm sample, the z ~ 2 ULIRG sample and the z ~ 2 normal galaxy sample. From this plot, the sub-mm galaxies can clearly be ruled out as being normal galaxies in terms of size, while they appear closer to the high-redshift ULIRG size distributions. The KS test rules out the sub-mm galaxies being like normal galaxies at both redshifts in terms of size and asymmetry to > 99 per cent and to > 90 per cent in terms of concentration. The hypothesis that the sub-mm galaxies are drawn from same population as the ULIRGs in terms of concentration, asymmetry and radius cannot be rejected. Fig. 6.10 shows the concentration versus asymmetry plot. In the local Universe, galaxies of different types lie on different parts of this plot (see Conselice, 2003). The sub-mm galaxies are clearly mixed in terms of concentration and asymmetry, as are the other high-redshift populations in the plot. However, it may be noteworthy that the highest asymmetry points tend to be either sub-mm galaxies or high-redshift EROs. Chapman et al. (2003c) completed a morphological study of sub-mm galaxies using HST i?-band images to a depth of R(AB) ~ 27. They found that about 60 per cent of the sample showed evidence for an active merger, and about 70 per cent were extremely large relative to the field population, regardless of optical magnitude (Conselice, Chapman, & Windhorst, 2003). The merger fraction is based on adjusting the sub-mm sources for redshift by adding a correction factor to the asymmetries of the SCUBA galaxies. CHAPTER 6. RESULTS AND DISCUSSION 54 15 10 i i i i | i i — i — i — | — i — i — i — i — | — i — i — i — i — | — i — i — i — i — | — i — r 0 0.0 - J 1 L J J -0.5 1.0 1.5 2.0 2.5 Petrosian radius (arcsec) 3.0 Figure 6.9: Sizes distribution of SCUBA galaxies. The shaded region is the distribution of our sub-mm sample. The solid and dash lines are samples of local ULIRGs and normal galaxies, respectively, redshifted to z ~ 2. These distributions have been normalized to the same total number and slightly offset for clarity. In terms of size, the sub-mm sources are clearly not normal galaxies and appear similar to the redshifted ULIRGs. CHAPTER 6. RESULTS AND DISCUSSION 55 0.0 "1 1 — 3 K — 1 X — I — I — < p -0.1 0.2 < 0.3 0.4 o x<x x 1 1 P v 't* 1 £ 0 I n — r ^ i — I — i — i — i — r O O X X <x> CO o o * o * o x x X ~ o o ~m o • o o • w * O O O O o o X O o oo o o o • ~1—I—I— I—I— I—I I I I I I I I I I I I I I I I I I I I I I I 4.5 4.0 3.5 3.0 c 2.5 2.0 1.5 Figure 6.10: Concentration versus Asymmetry for sub-mm sources and other high-redshift populations (based on photometric redshifts). The solid circles are our sub-mm sources and the diamonds are high-redshift (z > 1.2) EROs with i775 — Ks > 2.5 and J — Ks > 0.9. The asterisks and the crosses show the simulated z ~ 2 ULIRGs and normal galaxies, respectively. CHAPTER 6. RESULTS AND DISCUSSION 56 However, this correction does not include any effects of the K-correction. Several of our sub-mm sources lie in the original HDF region. For these galaxies, GN13, GN28 and GN30, we measured the CAS parameters in the WFPC2 optical wave-bands and in the deep NICMOS J and H images (Dickinson, 1999; Dickinson et al., 2000) in addition to the ACS bands. We found that the parameters that we are most interested in, namely radius and asymmetry, change little between the red optical bands and the near-IR bands. This is reassuring, because it means that the wavelength difference within the sub-mm sample itself will not have a major effect on the parameters. 6.4 A bright radio-undetected sub-mm system GN20 is one of the brightest blank-sky sub-mm sources ever detected with SCUBA and is a very convincing example of a radio-undetected SCUBA source (Fig. 6.11). The source appears slightly extended in the sub-mm images and fits better to a double Gaussian, hence GN20.2. Together the system is > 30mJy. Given its signal-to-noise ratio, the fact that it is separately detected in all 6 chop-throw sub-maps (Fig. 6.12), and the fact that our 'poorness-of-fit' statistics (see Appendix B) find nothing unusual at its position, then the chance that this source is spurious is extremely low. It is also so far above the confusion limit and the noise level is so low that confusion and flux-boosting cannot play a significant role. GN20 is not detected in the 450 /jm map (although the RMS there is rather poor), nor is it detected in the deep VLA radio images (la RMS of 10 //Jy) or the Chandra 2 Msec image. Using the far-IR/radio correlation and assuming a local ULIRG SED, these non-detections imply that the sub-mm bright galaxy is at a redshift of at least 2. The ACS images reveal 13 optical galaxies within the 7 arcsec search radius, 2 of which are detected above 5a in the if-band image. If we consider the redshift constraints from the lack of radio flux, then neither of these are likely candidates because their redshifts are both < 1.5. Hence, our counterpart selection techniques fail to select a unique counterpart for this source, although there are several possibilities. CHAPTER 6. RESULTS AND DISCUSSION 12h37m25s 20s 15s 10s Figure 6.11: Signal map for GN20/GN20.2. Contours are drawn at 4, 12 and 24mJy. Figure 6.12: Separate chop sub-maps for GN20/GN20.2. From top to bottom the chop throws are 30 arcsec, 44 arcsec and 68 arcsec. The left and right columns have chop angles of 0 degrees (vertical chop), and 90 degrees (horizontal chop), respectively. The maps are roughly 2 arcminutes across. CHAPTER 6. RESULTS AND DISCUSSION 59 We need to localize the sub-mm emission in order to identify the correct optical counterpart. We have recently acquired follow-up continuum mapping at 1.3 mm with the IRAM Plateau de Bureau interferometer. In the preliminary analysis of this data, we find that we detect the source to > 5a, which constrains the counterpart to within 3 arcsecs. The ACS data reveal 3 plausible counterparts within the IRAM position error circle. These 3 optical galaxies may all be part of a merging system directly responsible for the sub-mm emission, or lensing a background sub-mm source. The fact that this system is extended implies that the sub-mm source may be lensed by a foreground galaxy, or by a cluster of galaxies. 10 arcseconds from this source is what appears to be a cluster of galaxies (Fig. 6.13). While none of these galaxies have spectroscopic redshifts, several of them have photometric redshifts around z ~ 1. In order to test this hypothesis, we have recently applied for telescope time to obtain spectroscopic redshifts for these possible cluster galaxies, and the 3 plausible optical counterparts. The redshift will also allow us to determine the temperature and luminosity of the bright sub-mm galaxy, and, when combined with the other photometric points, allow us to characterized the rest-frame SED. This source provides a unique opportunity to study a robust radio-undetected sub-mm system. While it has been argued that many RU sub-mm sources may be spurious, this source is clearly not. It is not surprising that such sources exist, and it simply implies that some fraction of sub-mm sources are undetected in the radio and are at z > 2 and/or have more unusual SEDs than we expect. In addition, if the sub-mm source is being lensed by a cluster of galaxies at z ~ 1, then finding bright sub-mm sources in future SCUBA-2 surveys could be a great way of finding high redshift galaxy clusters. A more detailed study of this unique source is reserved for a future paper (Pope et al., in preparation). CHAPTER 6. RESULTS AND DISCUSSION 60 Figure 6.13: ACS z-band image aroud GN20 and GN20.2. The crosses are all the optical galaxies in the GOODS-North catalogue. The large circles shows the 7 arcsec search radius region for G N 20 (left) and GN20.2 (right). The smaller circle shows the constraints on the source position from preliminary analysis of the I R A M data. The scale of the image is 40 arcsec across. There are several bright galaxies between the two sub-mm positions which could possibly be a high redshift galaxy cluster capable of lensing a background sub-mm source. Chapter 7 61 CONCLUSION A N D FUTURE WORK Using the optical and near-IR images from GOODS and guided by the properties of the radio-detected galaxies, we have identified and characterized a large fraction of our sample of sub-mm sources. We have added to our statistically robust sub-mm source list in GOODS-North to give a total of 40 sources detected at > 3.5a at 850 /xm, one of which is the brightest known 'blank sky' extragalactic SCUBA source and is radio-undetected. About 3/4 of our sample has been identified with a unique optical or near-IR counterpart by applying new techniques for identifying optical counterparts using the properties of the radio-detected galaxies as a guide. An additional 18 per cent have several possible counterparts that meet our criteria. Therefore only < 10 per cent of our sample have no counterparts in the GOODS-N images and thus our identification is close to complete in the optical. With the deep optical and near-IR photometry, we estimate photometric redshifts for our sub-mm sample and find a median redshift of 1.9. This is lower than Chapman et al. (2003), however our sample is not restricted to radio-detected sources nor is it affected by the 'redshift desert'. We have shown that optical photometric redshifts can be used to determine reliable redshifts and determine their distribution. This is very useful since spectroscopic redshifts are costly in telescope time, and it is often very difficult to find 2 lines in the faint spectra required to determine a reliable redshift. When separated into radio-detected and radio-undetected sub-populations, the me-dian are 1.7 and 2.3, respectively, however we are unable to show that the samples are drawn from different populations. We might expect the radio-undetected sources to lie at higher redshifts, however our results show that they span nearly the same range as the radio-detected sources. It is still a possibility that radio-undetected sources are in-trinsically different from the radio-detected sources, however this would imply that there CHAPTER 7. CONCLUSION AND FUTURE WORK 62 is a discrete transition between the two sub-populations. It is more likely that the radio-undetected sources are similar to the radio-detected sources in terms of redshift, with radio flux just below the detection limit. This theory can be tested by deeper radio observations. Groups are currently working on new methods of reducing the radio data in GOODS-North in order to bring the noise level down and detect more sources. We have found interesting correlations between the 850 fim flux and both the 2775 and the photometric redshift. While theory can explain the lack of sub-mm bright sources at low redshifts with bright optical magnitudes, the lack of sub-mm faint sources with high redshifts and faint optical magnitudes is more complicated. As you go to higher redshift, you are looking at a larger volume in space (i.e. looking back in redshift makes a cone shape), therefore you expect to find more sub-mm sources at high redshift, however this does not explain the bias in the sub-mm flux of these sources. There must be some contribution from low number statistics and selection effects, however it is unclear why we would expect no faint sub-mm sources with optically-faint counterparts at high redshift. The sub-mm galaxies are red both in 2775 — Ks and J — Ks. These colours together are most useful for selecting and describing the counterparts. The fraction of near-IR counterparts which are classified as EROs is much higher for the radio-detected sub-mm sources than for the radio-undetected sub-mm sources which may indicate differences in their spectral energy distributions if they are at similar redshifts. It will be interesting to see if these trends persist into the IR with Spitzer. Although sub-mm galaxies show a range of morphologies, in terms of concentration and asymmetry, they are larger than field galaxies, consistent with being the most massive galaxies at all redshifts. By simulating normal galaxies shifted to the redshifts of the sub-mm sources, we can rule out the possibility that the high-redshift sub-mm galaxies could have normal morphologies. While our morphological study does not completely separate the sub-mm sources from the field galaxies and other specific populations, our results our consistent with sub-mm galaxies being massive galaxies at high redshifts with disturbed, merger-like structure. The obvious next step is to extend the study of this sample into the infrared using CHAPTER 7. CONCLUSION AND FUTURE WORK 63 Spitzer. As part of GOODS, observations with IRAC and MIPS of GOODS-North are ongoing and raw data are becoming available in the archive. Early results from Spitzer have shown that a high percentage of SCUBA sources are recovered (Egami et al. 2004; Ivison et al. 2004). We will use the colours in the Spitzer bands to verify counterparts, and the additional photometry points will be invaluable in understanding the optical/IR SEDs of the radio-detected and radio-undetected SCUBA galaxies. In the absence of a radio counterpart, we will not be able to localize the sub-mm emission until the arrival of ALMA, or per with a fully operational SMA. However, in the next couple of years, SHADES, the largest survey so far with SCUBA, is expected to reveal 200-300 850 fxm sources. And not much further in the future, we have the prospect of samples of many thousands of sub-mm sources detected with SCUBA-2. At the moment, it is hard to detect each individual SCUBA source and the samples are quite modest in size. With the advent of much larger samples compiled in a systematic way, it should be possible to perform much more extensive and accurate studies of counterparts to sub-mm galaxies. Our current work suggests that optical imaging to i775 ~ 28, coupled with deep radio data, should be sufficient to identify the bulk of the sub-mm galaxies in these future surveys. 64 B I B L I O G R A P H Y Alexander D.M., et al, 2003, AJ, 126, 539 Archibald E.N.,et al'.; 2002, MNRAS, 336, 1 '•, Barger A.J., Cowie L.L., Richards EA., 2000, AJ, 119, 2092 Barger A.J., Cowie L.L., Brandt W.N., Capak P., Garmire G.R, Hornschemeier A.E., Steffen A.T., Wehner E.H., 2002, AJ, 124, 1839 Benitez N., 2000, ApJ, 536, 571 Bergstrom S., Wiklind T., 2004, A&A, 414, 95 Bershady M.A., Jangren A., Conselice C.J., 2000, AJ, 119, 2645 Bertin E., Arnouts S., 1996, A&AS, 117, 393 Blain A.W., Smail I., Ivison R.J., Kneib J.-R, Frayer D.T., 2002, PhR, 369, 111 Blain A.W., Barnard V.E., Chapman S.C, 2003, MNRAS, 338, 733 Borys C , 2002, PhD thesis, University of British Columbia Borys C , Chapman S.C, Halpern M., Scott D., 2002, MNRAS, 330, L63 Borys C , Chapman S., Halpern M., Scott D., 2003, MNRAS, 344, 385 Borys C , Scott D., Chapman S., Halpern M., Nandra K., Pope A., 2004, MNRAS, in press, (astro-ph/0408376) Capak P., et al., 2004, AJ, 127, 180 Carilli C.L., Yun M.S., 1999, ApJ, 513, L13 65 Carilli C.L., Yun M.S., 2000, ApJ, 530, 618 Chapman S.C. et al., 2000, MNRAS, 319, 318 Chapman S.C, Richards E.A., Lewis G.F., Wilson G., Barger A.J., 2001, ApJ, 548, L147 Chapman S.C, Lewis G.F., Scott D., Borys C , Richards E., 2002, ApJ, 570, 557 Chapman S.C, et al., 2003a, ApJ, 585, 57 Chapman S.C, Blain A.W., Ivison R.J., Smail I.R., 2003b, Nat, 422, 695 Chapman S.C, Windhorst R., Odewahn S., Yan H., Conselice C , 2003c, ApJ, 599, 92 Clements D., et al., 2004, MNRAS, 351, 447 Cohen, J.G., Hogg, D.W., Blandford, R., Cowie, L.L., Hu, E., Songaila, A., Shopbell, P., & Richberg, K., 2000, ApJ, 538, 29 Coleman G.D., Wu C.-C, Weedman D.W., 1980, ApJS, 43, 393 Conselice C.J., Bershady M.A., Jangren A., 2000, ApJ, 529, 886 Conselice C.J., 2003, ApJS, 147, 1 Conselice C.J., Chapman S.C, Windhorst R.A., 2003, ApJ, 596, L5 Conselice C.J., 2004, preprint (astro-ph/0407463) Coppin K., Halpern M., Scott D., Marsden G., Iwamuro F., Maihara T., Motohara K., Totani T., 2004, MNRAS, in press, (astro-ph/0407096) Cowie L.L., Barger A.J., Hu E.M., Capak P., Songaila A., 2004, AJ, 127, 3137 Daddi E., Cimatti A., Renzini A., 2000, A&A, 362, L45 Dickinson M., 1999, AIPC, 470, 122 66 Dickinson M., et al., 2000, ApJ, 531, 624 Dickinson M., et al., 2004, ApJ, 600, L99 Dunlop J.S., et al., 2004, MNRAS, 350, 769 Eales S., Lilly S., Webb T., Dunne L., Gear W., Clements D., Yun M., 2000, AJ, 120, 2244 Egami E., et al, 2004, preprint (astro-ph/0406359) Elston R., Raines S.N., Hanna K.T., Hon D.B., Julian J., Horrobin M., Harmer C.F.W., Epps H.W., 2003, SPIE, 4841, 1611 Fox M.J., et al., 2002, MNRAS, 331, 839 Franx M., et al., 2003, ApJ, 587, L79 Frayer D.T., Reddy N.A., Armus L., Blain A.W., Scoville N.Z., Smail I., 2004, AJ, 127, 728 Garrett, M.A., de Bruyn, A.G., Giroletti, M., Baan, W.A., & Schilizzi, R.T., 2000, A&A, 361, L41 Giavalisco M., et al, 2004a, ApJ, 600, L93 Giavalisco M., et al., 2004b, in preparation Greve T.R., Ivison R.J., Bertoldi F., Stevens J., Dunlop J.A., Lutz D., Carilli C.L., 2004, preprint (astro-ph/0405361) Holland W.S., et al., 1999, MNRAS, 303, 659 Hughes D.H. et al., 1998, Natur, 394, 241 Ivison R.J., et al., 2002, MNRAS, 337, 1 Ivison R.J., et al., 2004, preprint (astro-ph/0406158) . 67 Kinney A.L., Calzetti D., Bohlin R.C., McQuade K., Storchi-Bergmann T., Schmitt H.R., 1996, ApJ, 467, 38 Lagache G., Dole H., Puget J.-L., 2003, MNRAS, 338, 555 Lilly S.J., Eales S.A., Gear W.K.P., Hammer F., Le Fevre 0., Crampton D., Bond J.R., Dunne L., 1999, ApJ, 518, 641 Mobasher B., et al, 2004, ApJ, 600, L167 Mortier A., et al., 2004, MNRAS, submitted Moustakas L.A., et al., 2004, ApJ, 600, L131 Muxlow, T.W.B., Wilkinson, P.N., Richards, A.M.S., Kellermann, K.I., Richards, E.A., & Garrett, M.A., 1999, New Astronomy Review, 43, 623 Peacock J.A., et al., 2000, MNRAS, 318, 535 Petrosian V., 1976, ApJ, 209, LI Pozzetti L., Mannucci F., 2000, MNRAS, 317, L17 Puschell J.J., Owen F.N., Laing R.A., 1982, ApJ, 257, L57 Richards, E.A., Kellermann, K.I., Fomalont, E.B., Windhorst, R.A., & Partridge, R.B. 1998, AJ, 116, 1039 Richards E.A., 2000, ApJ, 533, 611 Sajina A., Borys C., Chapman S., Dole H., Halpern M., Lagache G., Puget J.-L., Scott D., 2003, MNRAS, 343, 1365 Sanders, D.B., 1999, Ap&SS, 269, 381 Scott D. & Tout CA. 1989, MNRAS, 241, 109 Scott S.E., et al., 2002, MNRAS, 331, 817 68 Serjeant S., et al., 2003, MNRAS, 344, 887 Smail I., Ivison R.J., Blain A.W., Kneib J.-R, 1998, ApJ, 507, L21 Smail I., Ivison R.J., Blain A.W., Kneib J.-R, 2002, MNRAS, 331, 495 Steidel C.C., Adelberger K.L., Shapley A.E., Pettini M., Dickinson M., Giavalisco M., 2003, ApJ, 592, 728 . - ' : •. ' ; Tilanus, R.P.J, 2004, JCMT Technical Report TR/001/106, http://www.jach.hawaii.edu/JACdocs/JCMT/tr/001/106 Wang W.-H., Cowie L.L., Barger A.J., 2004, preprint (astro-ph/0406261) Webb T.M., et al., 2003a, ApJ, 587, 41 Webb T.M.A., Lilly S.J., Clements D.L., Eales S., Yun M., Brodwin M., Dunne L., Gear W.K., 2003b, ApJ, 597, 680 Webb T.M.A., Brodwin M., Eales S., Lilly S.J., 2004, ApJ, 605, 645 Wehner E.H., Barger A.J., Kneib J.-R, 2002, ApJ, 577, L83 Williams R.E., et al., 1996, AJ, 112, 1335 Wirth G.D., et al., 2004, AJ, 127, 3121 APPENDIX A. NEW 850nM SOURCES 69 Appendix A N E W 850 JIM SOURCES Each of the initial super-map sources is discussed in detail in Paper II. Here we give a brief description of the multi-wavelength environments of the new sources. Designations, coordinates and fluxes are listed in Table 2.1. GN01: This source is also detected in the Wang, Cowie, & Barger (2004) HDF sub-mm observations at a similar flux level. There are six optical galaxies within our 7 arcsec search radius. However, only one is detected in the near-IR. This near-IR source is also detected in the X-ray and there is a hint of a detection in the radio at < 5a. We identify this galaxy with the sub-mm emission. It has a spectroscopic redshift of 2.4 from Cowie et al. (2004). GN20: This source is one of the brightest blank-sky sub-mm sources ever detected with SCUBA. There are no radio or X-ray sources within the search radius, however there are 13 optical galaxies in the ACS images. We have obtained follow-up 1.3 mm continuum mapping with IRAM and detected the source, which localizes the sub-mm emission to within 3 arcsecs. This unique source is discussed in more detail in Section 6.4. GN28: This source resides in a crowded area surrounded by 11 optical sources and 1 X-ray source. The X-ray source is not coincident with any of the > ho optical sources, although there is a faint smudge in the if-band image. None of the optical galaxies stand out with our identification criterion (see Chapter 5), and therefore we tentatively identify the sub-mm emission with the obscured X-ray source. GN34: There are at least 3 bright optical galaxies with photometric redshifts of around 1 within 7 arcsec of this SCUBA source. Our counterpart selection technique clearly selects an ERO with red near-IR colours as the most likely counterpart. GN37: Only 2 of the 14 optical galaxies within 7 arcsec of this sub-mm source have any near-IR emission. One is very bright and has a secure photometric redshift of 0.43, while APPENDIX A. NEW 850ptM SOURCES 70 the other has a spectroscopic redshift of 3.2 (Cowie et al., 2004). The first source can be eliminated due to the lack of radio emission and we tentatively identify this source with the red z ~ 3.2 galaxy. GN04.2: This source is also detected in Wang, Cowie, & Barger (2004) at an identical flux level, although there is no obvious optical counterpart. There are many optical sources, including a lyman break galaxy, however none of them meet our selection criteria. GN20.2: This source is the partner to our new bright source. It is 20 arcsec away which implies that it is a different object. However, we should also consider the possibility that GN20 is extended (or has multiple images) due to lensing. GN20.2 does have a radio source nearby and therefore, given our criteria for identification, this is the secure counterpart. It has a photometric redshift of 3.91, and is very well fit to a starburst template. APPENDIX Bi STATISTICAL TESTS OF SOURCE ROBUSTNESS 71 Appendix B STATISTICAL TESTS OF SOURCE ROBUSTNESS The robustness of radio-undetected SCUBA sources has recently been challenged in the literature (Greve et al, 2004). The lack of radio flux could have other reasonable explana-tions, in particular these sources could be at higher redshift, or have cooler temperatures, and therefore not be accessible with current radio telescopes. If the RU SCUBA sources are all spurious then this implies we do not fully understand the behaviour of the noise, since Monte Carlo simulations including realistic noise (see Paper I) lead us to expect only 2.5 spurious positive sources in our survey area. If this is the case, there should be some indication in the statistics of the raw data. Therefore we have performed several X 2 tests to determine how well the raw data fit with the final maps. The first is a spatial x 2 test, which provides a measure of how well the PSF fits the data at each source position in the final super-map. We use the following definition of X 2 , where is the final value in the map at each pixel i, and Oi is the associated noise. Mi is the PSF model, where we use a Gaussian with a FWHM of 14.7 arcsec. We sum over a block of pixels around each source: If there are a significant number of pixels that disagree with the best-fit source, it will be shown in this spatial x 2 fit. This test indicates whether a source is extended, blended, confused or otherwise a poor fit to a point source. We also perform a perhaps more useful temporal x 2 test, which we now describe. Our reduction code creates the un-smoothed signal map by performing a weighted average of all data that points towards a certain pixel, where the noise for each pixel comes from the weighted variances of the bolometers (see Chapter 2 of this thesis and Paper I for more details). For a given position on the final map, it is useful to know the overall (B . l ) APPENDIX B. STATISTICAL TESTS OF SOURCE ROBUSTNESS 72 Figure B . l : Smoothed temporal \ 2 SNR maps at 850/mi (left) and 450/mi (right). By using these maps, we can pick our regions of the super-map with significantly bad x 2 fits. For example, both the 850 //m and 450 /ma maps show a pattern of bad pixels in the bottom left-hand corner of the square scan-map region. None of our sources lie in this area, however if they did we would flag them as having potentially inconsistent data and would then investigate the source data at the timestream level. It is also clear that the 450 /mi map contains much more structure than the 850 /mi map. APPENDIX B. STATISTICAL TESTS OF SOURCE ROBUSTNESS 73 consistency of the raw data that contributed to that pixel. This would tell us if, for example, half of the hits on a certain pixel are consistent with one value, while the other half prefer another value-in that case our map would suggest an average value for the pixel, which nevertheless might be a poor fit to any of the data. The temporal x2 assess this self-consistency of the data. We calculate such a x2 rnap for our 3x3 arcsec pixels relative to the final super-map as the model. We then investigate whether outliers are correlated with the positions of any of our sources, or in other words whether some of our sources may be in areas of 'poor' data. However, since each source actually contains a contribution from roughly a beam-area of pixels, we need to consider a smoothed version of this x2 rnap. So to assess whether a source has a poor temporal x2> we can proceed as follows. First we calculate the pixel temporal x? and number of hits for each pixel, A^ i t s. We then expect an average of A^ ; t s for pixel i, and a variance of 2A^its. For large enough values of iVm t s, the quantity y2 - Ni-A t '•'hits /"p n\ should be approximately Gaussian distributed with mean zero and variance 1. So in the same way that the signal-to-noise super-map gives the best estimate of the SNR of a point source centred on each pixel, we can calculate a signal-to-noise map of x2 (i-e. poorness of fit to the model) by treating the xf — h^its a s the signal and \J2N^its as the noise, and performing a weighted convolution with the PSF in exactly the same way as we did for the super-map itself. The result is shown in Fig. B.l at both 850/xm and 450/xm. We can see that there are few points of high 'poorness of fit SNR' at 850 /xm, while the data are less well behaved at 450 /xm, as expected. Fig. B.2 shows the distribution of pixel values in the 850 /xm map , with the values at the positions of our sources also shown for comparison. This sub-mm distribution is completely consistent with that of the map as a whole, with none of the sources standing out as being a very poor fit. This temporal statistic is intended to pick out regions of the map, or specific sources, which have an inconsistency in their raw timestream data. To check whether this test works effectively, we went back to the timestream and corrupted the data by giving half APPENDIX B. STATISTICAL TESTS OF SOURCE ROBUSTNESS 74 the hits on a specific pixel a value much different from the final map value (multiplying them all by -1, for example). We generated the temporal x 2 poorness map and found that this bad pixel was clearly identified in the map and that the specific pixel we corrupted had a poorness value of > 3 which would have been flagged under our analysis. Therefore this test does indeed perform as intended. Table B.l lists the 'poorness' values for both the spatial and temporal x2 tests. We have transformed the values in the table to the normal distribution for clarity, and flagged any sources with a value > ±2cr in either test. The spatial PSF fits are within ±2a for all but two of our initial 38 sources, which is consistent with what we expect from the map distribution (Fig. B.3). Of these two, one has a secure identification with a radio source while the other is not detected in the radio. The distribution of poorness values for the spatial test is not well approximated to a Gaussian as in the temporal test, since the number of degrees of freedom in the x 2 statistic is much lower in the spatial case (Fig. B.3). The temporal fits are within ±2a for all the super-map sources and the distribution is completely consistent with the map distribution (see Fig. B.2), with none of the sources standing out as being a very poor x 2 fit. The mean of the distribution for the temporal values lies just below 0, which implies that we are slightly underestimating our noise. There is no trend indicating that the values from the spatial, or temporal, fits get better, or worse, with signal-to-noise ratio, signal level, or noise level (see Fig. B.4, Fig. B.5, Fig. B.6). There is also no discernible difference between the distributions for the RD and RU sources. When tested on the un-cleaned map, the 2 sources, which we now suggest are pairs of nearby sources, have much worse spatial fits, as we expected. However, their temporal fits are within the acceptable range and their spatial fits in the cleaned map are also reasonable. Monte Carlo simulations discussed in Paper I (increased by about 20 per cent because of the increased survey area) tell us that we can expect an average of about 2.5 of the 3.5-4.0(7 detected sources to be spurious. We performed tests to determine a reasonable threshold for both the spatial and temporal x 2 tests. Of our 40 sources, including the 2 APPENDIX B. STATISTICAL TESTS OF SOURCE ROBUSTNESS Table B.l: x 2 'poorness of fit' values for both the spatial and temporal tests. S M M ID 5 8 5 0 M m ( m J y ) . SNR X * p a t i a l dev. X g . m p o r a l dev Flag GN14 5.9 ± 0 . 3 19.7 1.93 -0.68 GN20 20.3 ± 2 . 1 9.7 1.35 -0.71 GN15 3.7 ± 0 . 4 9.3 1.99 -0.11 GN09 8.9 ± 1.0 8.9 0.06 -1.14 GN06 7.5 ± 0 . 9 8.3 0.03 -0.36 G N U 7.0 ± 0 . 9 7.8 0.01 0.99 GN10 11.3 ± 1.6 7.1 -0.68 -0.34 GN12 8.6 ± 1.4 6.1 -0.05 0.31 GN07 8.9 ± 1.5 5.9 -0.33 -0.42 GN17 3.9 ± 0 . 7 5.6 0.87 1.22 GN20.2 11.7 ± 2 . 2 5.3 -0.21 a -0.64 GN18 3.2 ± 0 . 6 5.3 1.68 -0.58 GN04 5.1 ± 1 . 0 5.1 0.72 -0.91 GN01 7.3 ± 1.5 4.9 0.09 -0.10 GN21 5.7 ± 1.2 4.8 0.90 -1.48 GN13 1.9 ± 0 . 4 4.8 0.55 0.83 GN08 12.5 ± 2 . 7 4.6 -0.32 -1.48 GN16 9.0 ± 2 . 1 4.3 0.03 -1.22 GN03 16.81 ± 4 . 0 4.2 0.91 -0.13 GN05 6.7 ± 1.6 4.2 -0.07 0.06 GN02 16.2 ± 4 . 1 4.0 -0.81 -1.48 GN19 10.6 ± 2 . 7 4.0 -0.49 -1.06 GN27 24.0 ± 6 . 1 3.9 -0.27 -0.08 GN38 24.9 ± 6.5 3.8 -0.13 -0.79 GN24 13.7 ± 3.6 3.8 -1.39 0.23 GN32 5.3 ± 1.4 3.8 -0.24 0.98 GN25 4.6 ± 1.3 3.8 2.23 1.38 GN26 3.0 ± 0 . 8 3.8 -0.16 0.83 GN28 1.7 ± 0 . 4 3.8 -0.33 1.51 GN33 21.7 ± 5 . 8 3.7 -0.38 0.16 GN22 14.4 ± 3 . 9 3.7 0.02 -1.10 GN35 14.3 ± 3.9 3.7 0.90 -0.04 GN23 7.0 ± 1.9 3.7 1.74 -0.82 GN29 20.4 ± 5 . 7 3.6 -2.44 0.73 GN37 6.8 ± 1.9 3.6 -1.52 0.46 GN04.2 3.6 ± 1 . 0 3.6 -0.64 a 0.48 GN30 1.8 ± 0 . 5 3.6 0.64 1.05 GN36 24.8 ± 7.0 3.5 -1.75 -0.20 GN34 5.6 ± 1.6 3.5 -1.72 -0.03 GN31 2.8 ± 0 . 8 3.5 -1.15 1.11 a Measured in the cleaned map with the companion sources removed. APPENDIX B. STATISTICAL TESTS OF SOURCE ROBUSTNESS 76 T | i i i 1 1 1 1 1 1 1 r J 1 1 i I i L -4 -2 0 2 4 Temporal %2 Poorness of fit Figure B.2: Distribution of 'Poorness of fit' for the temporal x2 statistic at 850 /xm (i.e. the x2 f° r the fit of the raw data to the final map, converted into an approx-imately Gaussian variate). The solid curve at the top is the distribution of all pixels in the map with at least 100 hits. The dashed line is the best-fit Gaussian. The fit is very close to the normal distribution we expect, with the mean just below 0, which implies that we are slightly underestimating our noise, and a variance close to 1. The lower histogram (dot-dash line) is the distribution for all 40 sub-mm sources. APPENDIX B. STATISTICAL TESTS OF SOURCE ROBUSTNESS 77 Figure B.3: Distribution of 'Poorness of fit' for the spatial x2 statistic at 850 /mr, calcu-lated for the PSF centred on each pixel. The solid histogram at the top is the distribution of all pixels in the map with at least 100 hits. The lower histogram (dot-dash line) is the distribution of poorness values for all 40 sub-mm sources. Note that a Gaussian does not fit this distribution (as it does for the temporal distribution) because the number of degrees of freedom is only about 200. APPENDIX B. STATISTICAL TESTS OF SOURCE ROBUSTNESS 78 H I I I I I I T I I I I I I I I M I | I I I I I II I I | I I I I I I I I I | I I I I I I I I I | 1.4 1.2 1.0 B 0.8 is 0.6 0.4 0.2 I I I I I I I I I I I I I I I I I I I I I I I I I I IH f- \ + + + + + + ' I I I I * I ' I ' I I I I " 5 6 7 8 Signal-to-noise ratio 10 Figure B.4: Variation of poorness of fit with signal-to-noise ratio. Here we plot the absolute value of the statistic. The dots are all 40 of the sub-mm sources, while the crosses are binned average values. APPENDIX B. STATISTICAL TESTS OF SOURCE ROBUSTNESS Fi i i I i i i i — I — i — i — i — i — I — i — i — i — i — I — i — i — i — i — I — r = i 1.4 CO CO O O OH r—< o a +-> «+-! o > o CO 1.2 1.0 0.8 0.6 0.4 0.2 + + + + I -1 J i i I i i i « _ J i i i i i i i i i _ 10 15 20 Signal (mJy) 25 Figure B.5: Variation of poorness of fit with source brightness. APPENDIX B. STATISTICAL TESTS OF SOURCE ROBUSTNESS -fl I I I I | I M I I I I I I | I I I I I I I I I | I I I I I I I I I |J I I I j I r T T T r/3 t/3 O O a-r—H 8 o o r—H > O < 1.4 1.2 1.0 £ 0 . 8 0.6 0.4 0.2 i i i i i i i i i i i i i i i i i i i-+ + + + + ' I I I -I I I I I I I I I « I I i l l -1 2 3 4 5 Noise (mJy) 7 Figure B.6: Variation of poorness of fit with noise level of sources. APPENDIX B. STATISTICAL TESTS OF SOURCE ROBUSTNESS 81 clean sources, none of them show x2 values significant at the > 3a level. Based on these tests, we could find no reason to exclude any other sources. Hence, from investigating the statistics of the sub-mm map, there is no reason not to trust the radio-undetected sources. We also performed all these tests on our 450 /mi data, and found that none of the 7 candidate sources were below the threshold. Although we might expect the 450 /xm fits to be worse than the 850 /xm fits and despite the x2 clearly showing some structure, these tests show that the data for the sources appear to be largely self-consistent. 

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