FaRe: a Mathematica package for tensor reduction of Feynman integrals

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.

Matches version to appear on the International Journal of Modern Physics C

References in corpus (2)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Algorithm FIRE -- Feynman Integral REduction

Cited by in corpus (8)

• New Developments in FeynCalc 9.0
• FeynHelpers: Connecting FeynCalc to FIRE and Package-X
• Analyzing new physics in the decays ${\bar{B}}^0\to D^{(\ast )}{\tau }^{-}{\bar{\nu }}_{\tau }$ with form factors obtained from the covariant quark model
• Exclusive decays $B\to {\ell }^{-}\bar{\nu }$ and $B\to D^{(\ast )}{\ell }^{-}\bar{\nu }$ in the covariant quark model
• Yangian Ward Identities for Fishnet Four-Point Integrals
• Tensor Reduction for Feynman Integrals with Lorentz and Spinor Indices
• OPITeR: A program for tensor reduction of multi-loop Feynman Integrals
• Extended Projection Method for Massive Fermion