Numerical evaluation of the general massive 2-loop sunrise self-mass master integrals from differential equations
High Energy Physics - Phenomenology
2009-11-07 v1
Abstract
The system of 4 differential equations in the external invariant satisfied by the 4 master integrals of the general massive 2-loop sunrise self-mass diagram is solved by the Runge-Kutta method in the complex plane. The method, whose features are discussed in details, offers a reliable and robust approach to the direct and precise numerical evaluation of Feynman graph integrals.
Keywords
Cite
@article{arxiv.hep-ph/0203256,
title = {Numerical evaluation of the general massive 2-loop sunrise self-mass master integrals from differential equations},
author = {M. Caffo and H. Czyz and E. Remiddi},
journal= {arXiv preprint arXiv:hep-ph/0203256},
year = {2009}
}
Comments
1+21 pages, Latex, 5 ps-figures