Precise Numerical Evaluation of the Scalar One-Loop Integrals with the Infrared Divergence

Autor:	Yuasa, F., de Doncker, E., Fujimoto, J., Hamaguchi, N., Ishikawa, T., Shimizu, Y.
Rok vydání:	2007
Předmět:	High Energy Physics - Phenomenology
Zdroj:	PoSACAT2007:087,2007
Druh dokumentu:	Working Paper
Popis:	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 $10^{-150}$ GeV in the infrared vertex diagram. Comment: 10 pages, 2 figures, contribution to the proceedings of the ACAT workshop, Amsterdam, April 23-27, 2007
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0709.0777 Zobrazit plný text záznamu View this record from Arxiv