Analytic results for planar three-loop integrals for massive form factors
High Energy Physics - Phenomenology
2017-02-01 v1
Abstract
We use the method of differential equations to analytically evaluate all planar three-loop Feynman integrals relevant for form factor calculations involving massive particles. Our results for ninety master integrals at general are expressed in terms of multiple polylogarithms, and results for fiftyone master integrals at the threshold are expressed in terms of multiple polylogarithms of argument one, with indices equal to zero or to a sixth root of unity.
Cite
@article{arxiv.1611.06523,
title = {Analytic results for planar three-loop integrals for massive form factors},
author = {Johannes M. Henn and Alexander V. Smirnov and Vladimir A. Smirnov},
journal= {arXiv preprint arXiv:1611.06523},
year = {2017}
}