Elliptic Feynman integrals and pure functions

DOI10.1007/JHEP01(2019)023zbMATH Open1409.81162arXiv1809.10698OpenAlexW2897058158MaRDI QIDQ667065

Author name not available (Why is that?)

Publication date: 12 March 2019

Published in: (Search for Journal in Brave)

Abstract: We propose a variant of elliptic multiple polylogarithms that have at most logarithmic singularities in all variables and satisfy a differential equation without homogeneous term. We investigate several non-trivial elliptic two-loop Feynman integrals with up to three external legs and express them in terms of our functions. We observe that in all cases they evaluate to pure combinations of elliptic multiple polylogarithms of uniform weight. This is the first time that a notion of uniform weight is observed in the context of Feynman integrals that evaluate to elliptic polylogarithms.

Full work available at URL: https://arxiv.org/abs/1809.10698

zbMATH Keywords

No records found.

Mathematics Subject Classification ID

No records found.

This page was built for publication: Elliptic Feynman integrals and pure functions

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q667065)