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
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Published on: October 02, 2018
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
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