FeynHelpers: Connecting FeynCalc to FIRE and Package-X

TL;DR

FeynHelpers is a new interface that integrates FeynCalc with Package-X and FIRE, simplifying complex quantum field theory calculations involving Feynman diagrams and multi-loop integrals.

Contribution

It introduces a novel Mathematica add-on that connects FeynCalc to Package-X and FIRE, enabling easier and more efficient multi-loop integral evaluations.

Findings

Enabled complex calculations in QED, QCD, and Higgs physics.

Demonstrated simplification of previously difficult Feynman diagram evaluations.

Showcased practical applications with four example cases.

Abstract

We present a new interface called FeynHelpers that connects FeynCalc, a Mathematica package for symbolic semi-automatic evaluation of Feynman diagrams and calculations in quantum field theory (QFT) to Package-X and FIRE. The former provides a library of analytic results for scalar 1-loop integrals with up to 4 legs, while the latter is a general-purpose tool for reduction of multi-loop scalar integrals using Integration-by-Parts (IBP) identities. With this add-on many types of calculations that were difficult or hardly feasible with FeynCalc previously, can now be done in a much simpler way. This is demonstrated with four different examples from QED, QCD and Higgs physics.