paper

Feynman Integral Relations from GKZ Hypergeometric Systems

arXiv:2207.09780

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.

Contribution to the proceedings of the conference Loops and Legs in Quantum Field Theory (LL2022), Ettal, Germany

Feynman Integral Relations from GKZ Hypergeometric Systems · wovepaper