Loop integral evaluation and asymptotic expansion with pySecDec

TL;DR

pySecDec 1.5 enhances numerical evaluation of complex multi-loop Feynman integrals by introducing adaptive sum evaluation and asymptotic expansion, improving accuracy and efficiency for high-energy physics predictions.

Contribution

The paper presents new features in pySecDec 1.5 that enable automatic adaptive evaluation and asymptotic expansion, advancing computational tools for theoretical physics.

Findings

Improved performance in evaluating multi-loop integrals.

Effective asymptotic expansion in kinematic ratios.

Enhanced accuracy in theoretical predictions.

Abstract

The evaluation of higher-loop Feynman integrals is at the core of the quest to reduce the uncertainty of theoretical predictions and match experimental data from the LHC and future colliders. pySecDec is a program to evaluate such integrals numerically based on the sector decomposition approach; its new release version 1.5 introduces features significantly improving its performance: automatic adaptive evaluation of weighted sums of integrals (e.g. amplitudes) and asymptotic expansion in kinematic ratios. Here we briefly review both, illustrating the expected performance benefits.