Elliptic polylogarithms and Feynman integrals

by Brenda Correa De Andrade Penante (CERN)

Thursday 6 Jun 2019, 14:00 → 15:00 Europe/Zurich

Aula Polvani (Dipartimento di Fisica, Università degli Studi di Milano)

In this talk I discuss classes of function useful for representing Feynman integrals. The first, multiple polylogarithms (MPLs), constitute a well-understood class of functions which describe most of the Feynman integrals computed to date. Next I discuss a generalisation of MPLs to the elliptic curve suited for describing several integrals known not to be expressible in terms of MPLs. These functions generalise many of the interesting properties of MPLs, including the notion of uniform weight.

Milan.pdf