Using Feynman's Tree Theorem to Evaluate Loop Integrals Numerically
High Energy Physics - Phenomenology
2010-02-08 v1
Abstract
We report on a new method for the numerical evaluation of loop integrals, based on the Feynman Tree Theorem. The loop integrals are replaced by phase-space integration over fictitious extra on-shell particles. This integration can be performed alongside with the Monte-Carlo integration of ordinary phase-space, directly leading to NLO event generation.
Cite
@article{arxiv.1002.1289,
title = {Using Feynman's Tree Theorem to Evaluate Loop Integrals Numerically},
author = {Wolfgang Kilian and Tobias Kleinschmidt},
journal= {arXiv preprint arXiv:1002.1289},
year = {2010}
}
Comments
7 pages, 2 figures; Contribution to the 9th International Symposium on Radiative Corrections (RADCOR 2009), October 25-30 2009, Ascona, Switzerland