PoS - Proceedings of Science
Volume 303 - Loops and Legs in Quantum Field Theory (LL2018) - Plenary 2
Coaction for Feynman integrals and diagrams
R. Britto*, S. Abreu, C. Duhr, E. Gardi and J. Matthew
Full text: pdf
Published on: October 02, 2018
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 $F_1$.
DOI: https://doi.org/10.22323/1.303.0047
How to cite

Metadata are provided both in "article" format (very similar to INSPIRE) as this helps creating very compact bibliographies which can be beneficial to authors and readers, and in "proceeding" format which is more detailed and complete.

Open Access
Creative Commons LicenseCopyright owned by the author(s) under the term of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.