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arXiv · 1912.03205

Generalized hypergeometric functions and intersection theory for Feynman integrals

Samuel Abreu·Ruth Britto·Claude Duhr·Einan Gardi·James Matthew
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Abstract

Feynman integrals that have been evaluated in dimensional regularization can be written in terms of generalized hypergeometric functions. It is well known that properties of these functions are revealed in the framework of intersection theory. We propose a new application of intersection theory to construct a coaction on generalized hypergeometric functions. When applied to dimensionally regularized Feynman integrals, this coaction reproduces the coaction on multiple polylogarithms order by order in the parameter of dimensional regularization.

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Samuel Abreu, Ruth Britto, Claude Duhr, Einan Gardi, James Matthew. 2019-12-06. Generalized hypergeometric functions and intersection theory for Feynman integrals. https://arxiv.org/abs/1912.03205

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