Package for calculations and simplifications of expressions with Dirac matrices (MatrixExp)
This paper describes a package for calculations of expressions with Dirac matrices. Advantages over existing similar packages are described. MatrixExp package is intended for simplification of complex expressions involving gamma-matrices, 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 the existing similar package Tracer, the 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 --> s gamma g with application of functions of MatrixExp package is presented.
calculation computer algebra particle physics computing quantum field theory high energy physics gamma-algebra dimensional regularization