The two-loop sunrise graph with arbitrary masses
High Energy Physics - Phenomenology
2015-06-15 v1
Abstract
We discuss the analytical solution of the two-loop sunrise graph with arbitrary non-zero masses in two space-time dimensions. The analytical result is obtained by solving a second-order differential equation. The solution involves elliptic integrals and in particular the solutions of the corresponding homogeneous differential equation are given by periods of an elliptic curve.
Cite
@article{arxiv.1302.7004,
title = {The two-loop sunrise graph with arbitrary masses},
author = {Luise Adams and Christian Bogner and Stefan Weinzierl},
journal= {arXiv preprint arXiv:1302.7004},
year = {2015}
}
Comments
24 pages