Dimensionally regularized one-loop tensor-integrals with massless internal particles

Details Dimensionally regularized one-loop tensor-integrals with massless internal particles Dimensionally regularized one-loop tensor-integrals with massless internal particles

2005-04-27

arxiv.org/abs/hep-ph/0504251v3

Eur.Phys.J.C45:427-444,2006

Physics

High Energy Physics

High Energy Physics - Phenomenology

28 pages, 0 figure

Scientific paper

10.1140/epjc/s2005-02428-1

A set of one-loop vertex and box tensor-integrals with massless internal particles has been obtained directly without any reduction method to scalar-integrals. The results with one or two massive external lines for the vertex integral and zero or one massive external lines for the box integral are shown in this report. Dimensional regularization is employed to treat any soft and collinear (IR) divergence. A series expansion of tensor-integrals with respect to an extra space-time dimension for the dimensional regularization is also given. The results are expressed by very short formulas in a suitable manner for a numerical calculation.

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