Reduction of One-loop Tensor Form-Factors to Scalar Integrals: A General Scheme

Abstract

A general method for reducing tensor form factors, that appear in one-loop calculations in dimensional regularization, to scalar integrals is presented. The method is an extension of the reduction scheme introduced by Passarino and Veltman and is applicable in all regions of parameter space including those where kinematic Gram determinant vanishes. New relations between the the form factors that valid for vanishing Gram determinant play a key role in the extended scheme.

Comments: 40 pages, LaTeX, uses amsmath.sty. Example added. Appendix extended