Generalized hypergeometric functions and intersection theory for Feynman integrals

Samuel Abreu, Ruth Britto, Claude Duhr, Einan Gardi, James Matthew

Research output: Contribution to conferencePaper

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.
Original languageEnglish
DOIs
Publication statusPublished - 18 Feb 2020
Event14th International Symposium on Radiative Corrections: RADCOR 2019 - Centre des congres du Palais des Papes, Avignon, France
Duration: 9 Sep 201913 Sep 2019

Conference

Conference14th International Symposium on Radiative Corrections
CountryFrance
CityAvignon
Period9/09/1913/09/19

Keywords

  • hep-th

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