Numerical evaluation of master integrals from differential equations
High Energy Physics - Phenomenology
2009-11-07 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. The particular case of the general massive 2-loop sunrise self-mass diagram is analyzed. The method offers a reliable and robust approach to the direct and precise numerical evaluation of master integrals.
Cite
@article{arxiv.hep-ph/0211178,
title = {Numerical evaluation of master integrals from differential equations},
author = {M. Caffo and H. Czyz and E. Remiddi},
journal= {arXiv preprint arXiv:hep-ph/0211178},
year = {2009}
}
Comments
Latex, 5 pages, 4 ps-figures, uses included npb.sty, presented at RADCOR 2002 and Loops and Legs in Quantum Field Theory, 8-13 September 2002, Kloster Banz, Germany