Two decades of algorithmic Feynman integral reduction
High Energy Physics - Theory
2025-11-13 v2 High Energy Physics - Phenomenology
Abstract
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.
Cite
@article{arxiv.2510.10748,
title = {Two decades of algorithmic Feynman integral reduction},
author = {Alexander Smirnov and Vladimir Smirnov},
journal= {arXiv preprint arXiv:2510.10748},
year = {2025}
}
Comments
LaTeX, 14 pages