Uses of Covariant Formalism for Analytical Computation of Feynman Diagrams with Massive Fermions

Details Uses of Covariant Formalism for Analytical Computation of Feynman Diagrams with Massive Fermions Uses of Covariant Formalism for Analytical Computation of Feynman Diagrams with Massive Fermions

2002-11-27

arxiv.org/abs/hep-ph/0211429v1

Nucl.Instrum.Meth. A502 (2003) 602-604

Physics

High Energy Physics

High Energy Physics - Phenomenology

talk at the VIII International Workshop on Advanced Computing and Analysis Techniques in Physics Reasearch(ACAT'2002) 24-28 Ju

Scientific paper

10.1016/S0168-9002(03)00516-3

The bilinear combination of Dirac spinors $u(p_1,n_1)\bar u(p_2,n_2)$ is expressed in terms of Lorentz vectors in an explicit covariant form. The fact that the obtained expression involves only one auxiliary vector makes it very convenient for analytical computations with REDUCE (or FORM) package in the helicity formalism. The other advantage of the proposed formulas is that they are applicable to massive fermions as well as to massless fermions. The proposed approach is employed for the computation of one-loop Feynman diagrams and it is demonstrated that it considerably reduces the time of computations.

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