PoS - Proceedings of Science
Volume 416 - Loops and Legs in Quantum Field Theory (LL2022) - Parallel 4
Feynman Integral Relations from GKZ Hypergeometric Systems
H.J. Munch
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Published on: October 20, 2022
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 \cite{Chestnov:2022alh}.
DOI: https://doi.org/10.22323/1.416.0042
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