ftint: Calculating gradient-flow integrals with pySecDec

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.

Authors

Publication Details

Journal
Computer Physics Communications
Published
2024-09-20
DOI
https://doi.org/10.1016/j.cpc.2024.109384
Citations
2
Primary Topic
Medical Imaging Techniques and Applications
Type
article
Field-Weighted Citation Impact
0.81

Funders

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article

ftint: Calculating gradient-flow integrals with pySecDec

Anton Olsson, Robert V. Harlander, Marius Wesle, Theodoros Nellopoulos
2 citations
Computer Physics Communications
Medical Imaging Techniques and Applications
0.81
article

ftint: Calculating gradient-flow integrals with pySecDec

Anton Olsson, Robert V. Harlander, Marius Wesle, Theodoros Nellopoulos
article en
2 citations

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.

Computer Physics CommunicationsVol. 306
Deutsche Forschungsgemeinschaft
Openalex Percentile: Top 26%
Medical Imaging Techniques and Applications
0.81
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