Two decades of algorithmic Feynman integral reduction

Fuente: arXiv
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Main Authors: Smirnov, Alexander, Smirnov, Vladimir
Format: Preprint
Published: 2025
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author Smirnov, Alexander
Smirnov, Vladimir
author_facet Smirnov, Alexander
Smirnov, Vladimir
contents We present a historiographical review of algorithms and computer codes developed for solving integration-by-parts relations for Feynman integrals. This procedure is one of the key steps in the evaluation of Feynman integrals, since it enables to express integrals belonging to a given family as linear combinations of master integrals. In this review, we restrict ourselves to considering general algorithms which can, in principle, be applied to any family of Feynman integrals.
format Preprint
id arxiv_https___arxiv_org_abs_2510_10748
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Two decades of algorithmic Feynman integral reduction
Smirnov, Alexander
Smirnov, Vladimir
High Energy Physics - Theory
High Energy Physics - Phenomenology
We present a historiographical review of algorithms and computer codes developed for solving integration-by-parts relations for Feynman integrals. This procedure is one of the key steps in the evaluation of Feynman integrals, since it enables to express integrals belonging to a given family as linear combinations of master integrals. In this review, we restrict ourselves to considering general algorithms which can, in principle, be applied to any family of Feynman integrals.
title Two decades of algorithmic Feynman integral reduction
topic High Energy Physics - Theory
High Energy Physics - Phenomenology
url https://arxiv.org/abs/2510.10748