Exploring the linear space of Feynman integrals via generating functions
High Energy Physics - Phenomenology
2023-06-29 v2 High Energy Physics - Theory
Abstract
Deriving a comprehensive set of reduction rules for Feynman integrals has been a longstanding challenge. In this paper, we present a proposed solution to this problem utilizing generating functions of Feynman integrals. By establishing and solving differential equations of these generating functions, we are able to derive a system of reduction rules that effectively reduce any associated Feynman integrals to their bases. We illustrate this method through various examples and observe its potential value in numerous scenarios.
Cite
@article{arxiv.2306.02927,
title = {Exploring the linear space of Feynman integrals via generating functions},
author = {Xin Guan and Xiang Li and Yan-Qing Ma},
journal= {arXiv preprint arXiv:2306.02927},
year = {2023}
}
Comments
11 pages, 4 figures, references added