Differential equations for Feynman integrals beyond multiple polylogarithms

Abstract

Differential equations are a powerful tool to tackle Feynman integrals. In this talk we discuss recent progress, where the method of differential equations has been applied to Feynman integrals which are not expressible in terms of multiple polylogarithms.

9 pages, talk given at RADCOR 2017

References in corpus (8)

• Lectures on differential equations for Feynman integrals
• The two-loop sunrise graph in two space-time dimensions with arbitrary masses in terms of elliptic dilogarithms
• Two-loop planar master integrals for Higgs$\to 3$ partons with full heavy-quark mass dependence
• Elliptic integral evaluations of Bessel moments
• The kite integral to all orders in terms of elliptic polylogarithms
• Towards multiple elliptic polylogarithms
• A numerical test of differential equations for one- and two-loop sunrise diagrams using configuration space techniques
• The two-loop sunrise integral around four space-time dimensions and generalisations of the Clausen and Glaisher functions towards the elliptic case