Precise Numerical Evaluation of the Scalar One-Loop Integrals with the Infrared Divergence
High Energy Physics - Phenomenology
2008-12-18 v2
Abstract
We present a new approach for obtaining very precise integration results for infrared vertex and box diagrams, where the integration is carried out directly without performing any analytic integration of Feynman parameters. Using an appropriate numerical integration routine with an extrapolation method, together with a multi-precision library, we have obtained integration results which agree with the analytic results to 10 digits even for such a very small photon mass as GeV in the infrared vertex diagram.
Cite
@article{arxiv.0709.0777,
title = {Precise Numerical Evaluation of the Scalar One-Loop Integrals with the Infrared Divergence},
author = {F. Yuasa and E. de Doncker and J. Fujimoto and N. Hamaguchi and T. Ishikawa and Y. Shimizu},
journal= {arXiv preprint arXiv:0709.0777},
year = {2008}
}
Comments
10 pages, 2 figures, contribution to the proceedings of the ACAT workshop, Amsterdam, April 23-27, 2007