Momentum expansion of massive two-loop Feynman graphs around a finite value
High Energy Physics - Phenomenology
2009-10-31 v1
Abstract
We give an algorithm for obtaining expansions of massive two-loop Feynman graphs in powers of the external momentum around a finite, nonzero value of the momentum. This is based on our general two-loop formalism to reduce massive two-loop graphs with renormalizable interactions into a standard set of special functions. After the algebraic reduction, the final results are obtained by numerical integration. We apply the expansion algorithm to treat the top-dependent corrections of O(g^2 alpha_s) to the b quark self-energy and extract its momentum expansion on-shell.
Cite
@article{arxiv.hep-ph/9910422,
title = {Momentum expansion of massive two-loop Feynman graphs around a finite value},
author = {A. Ghinculov and Y. P. Yao},
journal= {arXiv preprint arXiv:hep-ph/9910422},
year = {2009}
}