PoS - Proceedings of Science
Volume 375 - 14th International Symposium on Radiative Corrections (RADCOR2019) - Integral Techniques
Simple differential equations for Feynman integrals associated to elliptic curves
S. Weinzierl
Full text: pdf
Pre-published on: December 19, 2019
Published on: February 18, 2020
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 non-trivial examples how the system of differential equations can be brought into an $\varepsilon$-form.
Single-scale and multi-scale cases are discussed.
DOI: https://doi.org/10.22323/1.375.0061
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