Generalized hypergeometric functions and intersection theory for Feynman integrals - Archive ouverte HAL Accéder directement au contenu
Communication Dans Un Congrès Année : 2019

Generalized hypergeometric functions and intersection theory for Feynman integrals

Samuel Abreu
  • Fonction : Auteur
Claude Duhr
  • Fonction : Auteur
Einan Gardi
  • Fonction : Auteur
James Matthew
  • Fonction : Auteur

Résumé

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.

Dates et versions

hal-02431440 , version 1 (07-01-2020)

Identifiants

Citer

Samuel Abreu, Ruth Britto, Claude Duhr, Einan Gardi, James Matthew. Generalized hypergeometric functions and intersection theory for Feynman integrals. 14th International Symposium on Radiative Corrections, Sep 2019, Avignon, France. pp.067, ⟨10.22323/1.375.0067⟩. ⟨hal-02431440⟩
51 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More