Feynman Integral Relations from GKZ Hypergeometric Systems
High Energy Physics - Theory
2022-07-21 v1 Mathematical Physics
math.MP
Abstract
We study Feynman integrals in the framework of Gel'fand-Kapranov-Zelevinsky (GKZ) hypergeometric systems. The latter defines a class of functions wherein Feynman integrals arise as special cases, for any number of loops and kinematic scales. Utilizing the GKZ system and its relation to -module theory, we propose a novel method for obtaining differential equations for master integrals. This note is based on the longer manuscript arXiv:2204.12983.
Keywords
Cite
@article{arxiv.2207.09780,
title = {Feynman Integral Relations from GKZ Hypergeometric Systems},
author = {Henrik J. Munch},
journal= {arXiv preprint arXiv:2207.09780},
year = {2022}
}
Comments
Contribution to the proceedings of the conference Loops and Legs in Quantum Field Theory (LL2022), Ettal, Germany