The kite integral to all orders in terms of elliptic polylogarithms
High Energy Physics - Phenomenology
2016-12-21 v2 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
We show that the Laurent series of the two-loop kite integral in space-time dimensions can be expressed in each order of the series expansion in terms of elliptic generalisations of (multiple) polylogarithms. Using differential equations we present an iterative method to compute any desired order. As an example, we give the first three orders explicitly.
Keywords
Cite
@article{arxiv.1607.01571,
title = {The kite integral to all orders in terms of elliptic polylogarithms},
author = {Luise Adams and Christian Bogner and Armin Schweitzer and Stefan Weinzierl},
journal= {arXiv preprint arXiv:1607.01571},
year = {2016}
}
Comments
19 pages, v2: version to be published