Simple differential equations for Feynman integrals associated to elliptic curves
High Energy Physics - Phenomenology
2019-12-09 v1 High Energy Physics - Theory
Abstract
The -form of a system of differential equations for Feynman integrals has led to tremendeous progress in our abilities to compute Feynman integrals, as long as they fall into the class of multiple polylogarithms. It is therefore of current interest, if these methods extend beyond the case of multiple polylogarithms. In this talk I discuss Feynman integrals, which are associated to elliptic curves and their differential equations. I show for non-trivial examples how the system of differential equations can be brought into an -form. Single-scale and multi-scale cases are discussed.
Cite
@article{arxiv.1912.02578,
title = {Simple differential equations for Feynman integrals associated to elliptic curves},
author = {Stefan Weinzierl},
journal= {arXiv preprint arXiv:1912.02578},
year = {2019}
}
Comments
11 pages, talk given at RADCOR 2019