Coaction on Feynman diagrams and hypergeometric functions

by Ruth Britto (Trinity College Dublin)

Thursday 23 Jan 2020, 14:15 → 15:15 Europe/Berlin

SR2 (DESY)

I will present combinatorial operations on Feynman diagrams, described by cutting and pinching edges, that correspond to the algebraic coaction on the multiple polylogarithms resulting from their integration, expanded in dimensional regularization. These operations correspond in turn to a coaction on generalized hypergeometric functions. I will remark on applications to discontinuities of and differential equations for Feynman diagrams.

Slides DESY20.pdf