Coaction for Feynman integrals and diagrams

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

Research output: Contribution to journalArticle

Abstract

We propose a general coaction for families of integrals appearing in the evaluation of Feynman diagrams, such as multiple polylogarithms and generalized hypergeometric functions. We further conjecture a link between this coaction and graphical operations on Feynman diagrams. At one-loop order, there is a basis of integrals for which this correspondence is fully explicit. We discuss features and present examples of the diagrammatic coaction on two-loop integrals. We also present the coaction for the functions ${}_{p+1}F_p$ and Appell $F_1$.
Original languageEnglish
JournalProceedings of Science
VolumeLL2018
Issue number047
DOIs
Publication statusPublished - 2 Oct 2018

Keywords

  • hep-th
  • hep-ph

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