BIRS Workshop Lecture Videos
Perturbative calculations in QFT and the Laporta algorithm Misiak, Mikolaj
In searches for new phenomena in particle physics, we are often interested in observing tiny
deviations from the Standard Model (SM) predictions. In consequence, the SM predictions must be
known very precisely. This is often a challenge even in situations when purely perturbative calculations
are sufficient. At present, the most powerful methods amount to expressing the observables of interest
in terms of so-called Master Integrals (MIs). The MIs are not being evaluated directly but rather via
solving systems of differential equations. In the process of finding the MIs via the Laporta algorithm,
large numbers (often billions) of linear equations need to be generated and solved, with simplifications
of complicated rational functions at each step. In consequence, even the most powerful present-day
computer clusters are sometimes insufficient. The situation could radically improve if a clever
mathematical solution of the considered algebraic problem could be found in general.
hep-ph/0102033, arXiv:0804.3008, arXiv:1004.4199, arXiv:1412.2296.
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