A Hopf algebra for Feynman diagrams and integrals
Ruth Britto
Trinity College Dublin
Mercredi 28/06/2017, 14h15-15h15
Salle Claude Itzykson, Bât. 774, Orme des Merisiers

I will present a combinatorial operation on one-loop Feynman diagrams, described by cutting and pinching edges, that corresponds to the Hopf-algebraic coaction on the multiple polylogarithms resulting from their integration. A generalization of this operation, expressed simply in terms of master integrands paired with master contours, can be applied directly to larger classes of functions including hypergeometric functions. I will discuss applications to analyses of discontinuities of and differential equations for Feynman diagrams.

Contact : Gregory SOYEZ

 

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