Work

Generalized hypergeometric functions and intersection theory for Feynman integrals

Year: 2019

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1912.03205

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

Institutions: UCLouvain, Trinity College Dublin, European Organization for Nuclear Research, University of Edinburgh

Language: English

Topic: Advanced Mathematical Identities

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: European Commission, Fonds De La Recherche Scientifique - FNRS, Science and Technology Facilities Council

OpenAlex ID: W2994042942

Cites: 11

Cited by: 1

Related to: 20