J_AW,WA functions in Passarino-Veltman reduction

Details J_AW,WA functions in Passarino-Veltman reduction J_AW,WA functions in Passarino-Veltman reduction

2009-12-19

arxiv.org/abs/0912.3893v1

Phys.Atom.Nucl.73:2048-2063,2010

Physics

High Energy Physics

High Energy Physics - Phenomenology

Scientific paper

10.1134/S1063778810120100

In this paper we continue to study a special class of Passarino-Veltman functions J arising at the reduction of infrared divergent box diagrams. We describe a procedure of separation of two types of singularities, infrared and mass singularities, which are absorbed in simple C0 functions. The infrared divergences of C0's can be regularized then by any method: photon mass, dimensionally or by the width of an unstable particle. Functions J, in turn, are represented as certain linear combinations of the standard D0 and C0 Passarino-Veltman functions. The former are free of both types of singularities and are expressed as explicit and compact linear combinations of logarithms and dilogarithm functions. We present extensive comparisons of numerical results with those obtained with the aid of the LoopTools package.

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