Symbology for Elliptic Multiple Polylogarithms

by Chi Zhang

Wednesday 17 Aug 2022, 13:00 → 15:00 Europe/Zurich

4/3-006 - TH Conference Room (CERN)

The multiple polylogarithms and their symbols have made enormous progress for computing Feynman integrals and scattering amplitudes. Beyond MPLs, infinite towers of more complicated functions occur in scattering amplitudes and Feynman integrals. The simplest of these classes of functions involve integrals over elliptic curves. In this talk, I will first review the elliptic polylogarithms, then show how to manipulate and simplify the elliptic symbol. To illustrate the usage of these tools, the sunrise integral will be the main example. At the end, I will comment on the symbol of a more complicated elliptic Feynman integral -- the 10-point double box integral in planar N=4 sYM.

ellipticsymbol.pdf