Evaluating multi-loop Feynman diagrams with infrared and threshold singularities numerically
High Energy Physics - Phenomenology
2010-10-27 v2
Abstract
We present a method to evaluate numerically Feynman diagrams directly from their Feynman parameters representation. We first disentangle overlapping singularities using sector decomposition. Threshold singularities are treated with an appropriate contour deformation. We have validated our technique comparing with recent analytic results for the gg->h two-loop amplitudes with heavy quarks and scalar quarks.
Cite
@article{arxiv.hep-ph/0703282,
title = {Evaluating multi-loop Feynman diagrams with infrared and threshold singularities numerically},
author = {Charalampos Anastasiou and Stefan Beerli and Alejandro Daleo},
journal= {arXiv preprint arXiv:hep-ph/0703282},
year = {2010}
}
Comments
8 pages, 3 figures; references added, version to appear in JHEP