Reduction and evaluation of two-loop graphs with arbitrary masses
High Energy Physics - Phenomenology
2009-10-31 v1
Abstract
We describe a general analytic-numerical reduction scheme for evaluating any 2-loop diagrams with general kinematics and general renormalizable interactions, whereby ten special functions form a complete set after tensor reduction. We discuss the symmetrical analytic structure of these special functions in their integral representation, which allows for optimized numerical integration. The process Z -> bb is used for illustration, for which we evaluate all the 3-point, non-factorizable g^2*alpha_s mixed electroweak-QCD graphs, which depend on the top quark mass. The isolation of infrared singularities is detailed, and numerical results are given for all two-loop three-point graphs involved in this process.
Keywords
Cite
@article{arxiv.hep-ph/0006314,
title = {Reduction and evaluation of two-loop graphs with arbitrary masses},
author = {A. Ghinculov and Y. -P. Yao},
journal= {arXiv preprint arXiv:hep-ph/0006314},
year = {2009}
}