ftint: Calculating gradient-flow integrals with pySecDec
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866910640398925824 |
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| author | Harlander, Robert V. Nellopoulos, Theodoros Olsson, Anton Wesle, Marius |
| author_facet | Harlander, Robert V. Nellopoulos, Theodoros Olsson, Anton Wesle, Marius |
| contents | 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 $ε=(4-D)/2$, 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2407_16529 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | ftint: Calculating gradient-flow integrals with pySecDec Harlander, Robert V. Nellopoulos, Theodoros Olsson, Anton Wesle, Marius High Energy Physics - Phenomenology High Energy Physics - Lattice 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 $ε=(4-D)/2$, 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. |
| title | ftint: Calculating gradient-flow integrals with pySecDec |
| topic | High Energy Physics - Phenomenology High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2407.16529 |