An Elliptic Generalization of Multiple Polylogarithms
High Energy Physics - Phenomenology
2018-03-14 v2 High Energy Physics - Theory
Abstract
We introduce a class of functions which constitutes an obvious elliptic generalization of multiple polylogarithms. A subset of these functions appears naturally in the \epsilon-expansion of the imaginary part of the two-loop massive sunrise graph. Building upon the well known properties of multiple polylogarithms, we associate a concept of weight to these functions and show that this weight can be lowered by the action of a suitable differential operator. We then show how properties and relations among these functions can be studied bottom-up starting from lower weights.
Cite
@article{arxiv.1709.03622,
title = {An Elliptic Generalization of Multiple Polylogarithms},
author = {Ettore Remiddi and Lorenzo Tancredi},
journal= {arXiv preprint arXiv:1709.03622},
year = {2018}
}
Comments
27 pages plus three appendices, v2: references added, typos corrected, accepted for publication on NPB