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arXiv · 1808.00069

Coaction for Feynman integrals and diagrams

Samuel Abreu·Ruth Britto·Claude Duhr·Einan Gardi·James Matthew
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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 $F_1$.

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Samuel Abreu, Ruth Britto, Claude Duhr, Einan Gardi, James Matthew. 2018-07-31. Coaction for Feynman integrals and diagrams. https://arxiv.org/abs/1808.00069

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