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arXiv · 2407.16529

ftint: Calculating gradient-flow integrals with pySecDec

Robert V. Harlander·Theodoros Nellopoulos·Anton Olsson·Marius Wesle
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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 $\epsilon=(4-D)/2$, 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.

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Robert V. Harlander, Theodoros Nellopoulos, Anton Olsson, Marius Wesle. 2024-07-23. ftint: Calculating gradient-flow integrals with pySecDec. https://doi.org/10.1016/j.cpc.2024.109384

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