Title: A Hopf algebra for Feynman diagrams and integral
Speaker: Ruth Britto (Trinity College Dublin)
Abstract: 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.
Time: Tuesday 6th February 2018, 2.30pm.
Place: Lecture Room, School of Theoretical Physics, DIAS, 10 Burlington Road, Dublin 4.