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arXiv · 2207.09780

Feynman Integral Relations from GKZ Hypergeometric Systems

Henrik J. Munch
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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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Henrik J. Munch. 2022-07-20. Feynman Integral Relations from GKZ Hypergeometric Systems. https://arxiv.org/abs/2207.09780

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