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Feynman Integral Relations from GKZ Hypergeometric Systems

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.

preprint2022arXivOpen access
Henrik J. Munch
math-phmath.MPhep-th
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Henrik J. Munch

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