Numerical evaluation of some master integrals for the 2-loop general massive self-mass from differential equations
High Energy Physics - Phenomenology
2007-05-23 v1
Abstract
The 4-th order Runge-Kutta method in the complex plane is proposed for numerically advancing the solutions of a system of first order differential equations in one external invariant satisfied by the master integrals related to a Feynman graph. Some results obtained for the 2-loop self-mass MI are reviewed. The method offers a reliable and robust approach to the direct and precise numerical evaluation of master integrals.
Cite
@article{arxiv.hep-ph/0311052,
title = {Numerical evaluation of some master integrals for the 2-loop general massive self-mass from differential equations},
author = {Michele Caffo},
journal= {arXiv preprint arXiv:hep-ph/0311052},
year = {2007}
}
Comments
Latex, 8 pag., 3 fig., uses appolb.cls, Presented at Matter To The Deepest, XXVII ICTP, Ustron (Poland), 15-21 Sept 2003