FaRe: a Mathematica package for tensor reduction of Feynman integrals

TL;DR

FaRe is a Mathematica package that automates tensor reduction of Feynman integrals into scalar integrals, facilitating calculations involving tensor structures in high-energy physics.

Contribution

FaRe introduces a new Mathematica package that performs tensor reduction of Feynman integrals with arbitrary loops into scalar integrals, integrating with FeynCalc for tensor structure handling.

Findings

Enables tensor reduction for high-order Feynman integrals.

Integrates seamlessly with FeynCalc for tensor structure preservation.

Simplifies handling of tensor Feynman integrals in computational physics.

Abstract

We present FaRe, a package for Mathematica that implements the decomposition of a generic tensor Feynman integral, with arbitrary loop number, into scalar integrals in higher dimension. In order for FaRe to work, the package FeynCalc is needed, so that the tensor structure of the different contributions is preserved and the obtained scalar integrals are grouped accordingly. FaRe can prove particularly useful when it is preferable to handle Feynman integrals with free Lorentz indices and tensor reduction of high-order integrals is needed. This can then be achieved with several powerful existing tools.