Simple differential equations for Feynman integrals associated to elliptic curves
December 19, 2019
February 18, 2020
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 non-trivial examples how the system of differential equations can be brought into an $\varepsilon$-form.
Single-scale and multi-scale cases are discussed.
How to cite
Metadata are provided both in "article" format (very similar to INSPIRE) as this helps creating
very compact bibliographies which can be beneficial to authors and
readers, and in "proceeding" format
which is more detailed and complete.