ftint: Calculating gradient-flow integrals with pySecDec

Abstract

The program ftint is introduced which numerically evaluates dimensionally regulated integrals as they occur in the perturbative approach to the gradient-flow formalism in quantum field theory. It relies on sector decomposition in order to determine the coefficients of the individual orders in $\hat{I}\mu =(4-D)/2$, where $D$ is the space-time dimension. For that purpose, it implements an interface to the public library pySecDec. The current version works for massive and massless integrals up to three-loop level with vanishing external momenta, but the underlying method is extendable to more general cases.

30 pages, 1 figure; v2: matches published version; the program ftint is available from https://gitlab.com/ftint/ftint