Elliptic polylogarithms for Feynman integrals

Tuesday, 16 October 2018 at 11:15, in Y16 G05 - Campus Irchel

It is by now well established that starting from two loops not all Feynman integrals can be expressed in terms polylogarithms, but generalisations to elliptic curves appear. We review a variant of elliptic polylogarithms that appear in Feynman integral computations and discuss how they are related to other classes of functions like iterated integrals of modular forms. We also present several examples of two-loop integrals that can be expressed in terms of these new classes of functions. In all these cases we observe that the results can the property of uniform transcendental weight.