Package for Calculations and Simplifications of Expressions with Dirac Matrixes (MatrixExp)

V. A. Poghosyan

doi:10.1016/j.cpc.2005.06.002

paper

Package for Calculations and Simplifications of Expressions with Dirac Matrixes (MatrixExp)

arXiv:hep-ph/0507080 · doi:10.1016/j.cpc.2005.06.002

Abstract

This paper describes a package for calculations of expressions with Dirac matrixes. Advantages to existing similar packages are described. MatrixExp package is intended for simplification of complex expressions involving $γ$ -matrixes, providing such tools as automatic Feynman parameterization, integration in $d$ -dimensional space, sorting and grouping of results in a given order. Also, in comparison with existing similar package Tracer, presented package MatrixExp has more enhanced input possibility. User-available functions of MatrixExp package are described in detail. Also an example of calculation of Feynman diagram for process $b \to s γ g$ with application of functions of MatrixExp package is presented.