A walk on sunset boulevard
arXiv:1601.03646
Abstract
A walk on sunset boulevard can teach us about transcendental functions associated to Feynman diagrams. On this guided tour we will see multiple polylogarithms, differential equations and elliptic curves. A highlight of the tour will be the generalisation of the polylogarithms to the elliptic setting and the all-order solution for the sunset integral in the equal mass case.
10 pages, talk given at Radcor 2015
References in corpus (8)
- Lectures on differential equations for Feynman integrals
- Elliptic multiple zeta values and one-loop superstring amplitudes
- The two-loop sunrise graph in two space-time dimensions with arbitrary masses in terms of elliptic dilogarithms
- Elliptic integral evaluations of Bessel moments
- Schouten identities for Feynman graph amplitudes; the Master Integrals for the two-loop massive sunrise graph
- A numerical test of differential equations for one- and two-loop sunrise diagrams using configuration space techniques
- Cluster Polylogarithms for Scattering Amplitudes
- The two-loop sunrise integral around four space-time dimensions and generalisations of the Clausen and Glaisher functions towards the elliptic case