Numerical Methods and the 4-point 2-loop Higgs amplitudes

TL;DR

This paper discusses challenges in calculating multi-loop Higgs amplitudes with multiple mass scales and introduces pySecDec, a program that numerically evaluates complex Feynman integrals, including new features like sector symmetry detection.

Contribution

The paper presents pySecDec, a novel computational tool for numerically evaluating multi-loop Feynman integrals, with new features to optimize the process.

Findings

pySecDec effectively computes complex multi-loop integrals

Sector symmetry finder reduces computational effort

Enhanced numerical methods improve amplitude calculations

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.