Symbolic computation of electron-proton to slepton-squark scattering cross sections based on a left-right supersymmetric extension of the standard model

The calculation of the cross section of supersymmetric processes based on a left-right supersymmetric extension of the standard model is presented. The Feynman diagrams for the neutralino-quark-squark and chargino-quark-squark are written down, and the production of sleptons and squarks resulting from the t-channel exchange of neutralinos and charginos in electron-proton scattering is analyzed. The symbolic programming language Mathematica RTM, is used to develop a program to generate a symbolic representation of the invariant amplitude for these processes. Differential cross sections, based on numerical values of the free parameters of the left-right supersymmetric model, are generated.