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ftint: Calculating gradient-flow integrals with pySecDec

High Energy Physics - Phenomenology 2024-10-10 v2 High Energy Physics - Lattice

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 ϵ=(4D)/2\epsilon=(4-D)/2, where DD 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.

Cite

@article{arxiv.2407.16529,
  title  = {ftint: Calculating gradient-flow integrals with pySecDec},
  author = {Robert V. Harlander and Theodoros Nellopoulos and Anton Olsson and Marius Wesle},
  journal= {arXiv preprint arXiv:2407.16529},
  year   = {2024}
}

Comments

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

R2 v1 2026-06-28T17:50:56.913Z