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Feynman Integral Relations from GKZ Hypergeometric Systems (2207.09780v1)
Published 20 Jul 2022 in hep-th, math-ph, and 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 $D$-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.
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