A Three-Parameter Elliptic Double-Box
High Energy Physics - Theory
2022-09-09 v1
Abstract
We express a toy model of the ten-point elliptic double-box, first characterized in arXiv:1712.02785, in terms of elliptic polylogarithms. This toy model corresponds to a particular unphysical limit of the elliptic double-box in which it depends on only three dual conformal cross-ratios. While the diagram is fully permutation symmetric in the cross-ratios in this limit, this property is not manifest in either of the two elliptic polylogarithm formalisms we use to express it. We observe that the function is a pure elliptic polylogarithm, which is the result of nontrivial identities between elliptic integrals depending on the conformal cross-ratios.
Cite
@article{arxiv.2209.03921,
title = {A Three-Parameter Elliptic Double-Box},
author = {Alex Chaparro Pozo and Matt von Hippel},
journal= {arXiv preprint arXiv:2209.03921},
year = {2022}
}
Comments
15 pages, 1 figure, one ancillary file