Simple differential equations for Feynman integrals associated to elliptic curves
Abstract
The $\varepsilon$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 nontrivial examples how the system of differential equations can be brought into an $\varepsilon$form. Singlescale and multiscale cases are discussed.
 Publication:

14th International Symposium on Radiative Corrections
 Pub Date:
 September 2019
 arXiv:
 arXiv:1912.02578
 Bibcode:
 2019isrc.confE..61W
 Keywords:

 High Energy Physics  Phenomenology;
 High Energy Physics  Theory
 EPrint:
 11 pages, talk given at RADCOR 2019