Semi-Numerical Evaluation of One-Loop Corrections

Details Semi-Numerical Evaluation of One-Loop Corrections Semi-Numerical Evaluation of One-Loop Corrections

2005-08-30

arxiv.org/abs/hep-ph/0508308v3

Phys.Rev.D73:014027,2006

Physics

High Energy Physics

High Energy Physics - Phenomenology

33 pages, 10 figures, some typos fixed and references added, to appear in Phys. Rev. D. v3 corrects a typo in eq. A27

Scientific paper

10.1103/PhysRevD.73.014027

We present a semi-numerical algorithm to calculate one-loop virtual corrections to scattering amplitudes. The divergences of the loop amplitudes are regulated using dimensional regularization. We treat in detail the case of amplitudes with up to five external legs and massless internal lines, although the method is more generally applicable. Tensor integrals are reduced to generalized scalar integrals, which in turn are reduced to a set of known basis integrals using recursion relations. The reduction algorithm is modified near exceptional configurations to ensure numerical stability. To test the procedure we apply these techniques to one-loop corrections to the Higgs to four quark process for which analytic results have recently become available.

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