Direct numerical integration of one-loop Feynman diagrams for N-photon amplitudes
High Energy Physics - Phenomenology
2010-04-14 v1
Abstract
One approach to the calculation of cross sections for infrared-safe observables in high energy collisions at next-to-leading order is to perform all of the integrations, including the virtual loop integration, by Monte Carlo numerical integration. In a previous paper, two of us have shown how one can perform such a virtual loop integration numerically after first introducing a Feynman parameter representation. In this paper, we perform the integration directly, without introducing Feynman parameters, after suitably deforming the integration contour. Our example is the N-photon scattering amplitude with a massless electron loop. We report results for N = 6 and N = 8.
Cite
@article{arxiv.0812.3686,
title = {Direct numerical integration of one-loop Feynman diagrams for N-photon amplitudes},
author = {Wei Gong and Zoltan Nagy and Davison E. Soper},
journal= {arXiv preprint arXiv:0812.3686},
year = {2010}
}
Comments
14 pages with 9 figures