Reduction and evaluation of two-loop graphs with arbitrary masses

Details Reduction and evaluation of two-loop graphs with arbitrary masses Reduction and evaluation of two-loop graphs with arbitrary masses

2000-06-28

arxiv.org/abs/hep-ph/0006314v1

Phys.Rev. D63 (2001) 054510

Physics

High Energy Physics

High Energy Physics - Phenomenology

Scientific paper

10.1103/PhysRevD.63.054510

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.

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