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Elliptic Feynman integrals and pure functions

Authors :
Broedel, Johannes
Duhr, Claude
Dulat, Falko
Penante, Brenda
Tancredi, Lorenzo
Publication Year :
2018

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.<br />Comment: 47 pages

Subjects

Subjects :
High Energy Physics - Theory

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.1809.10698
Document Type :
Working Paper
Full Text :
https://doi.org/10.1007/JHEP01(2019)023