Abstract
Some of the difficulties faced when calculating multi-loop amplitudes with several mass scales are reviewed. We then focus on one particular difficulty, the evaluation of the Feynman integrals, and introduce the program pySecDec which can be used to numerically compute such integrals. Some of the new features and in particular the sector symmetry finder, which can help to reduce the number of sectors to be numerically integrated after sector decomposition, are described.
Highlights
In recent years there has been significant progress in the calculation of multi-loop amplitudes and related higher order quantities
Progress has been made in the calculation of processes which depend on many scales, for example the planar integrals relevant for Higgs boson plus jet production [5] as well as several integrals relevant for mixed EW-QCD corrections and QED corrections including fermion masses [6, 7, 8, 9]
The most time consuming step in the methods that we have currently applied to the computation of these amplitudes is the use of integration-byparts identities to reduce the number of Feynman integrals appearing
Summary
In recent years there has been significant progress in the calculation of multi-loop amplitudes and related higher order quantities. We focus on one particular difficulty, the evaluation of the Feynman integrals, and introduce the program pySecDec which can be used to numerically compute such integrals. Some of the new features and in particular the sector symmetry finder, which can help to reduce the number of sectors to be numerically integrated after sector decomposition, are described.
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