Comparison of the full matrix element calculation with the simplified calculation of the $W_R$ production at the LHC (left-right symmetric model)

TL;DR

This paper compares full matrix element calculations with simplified methods for $W_R$ production at the LHC, highlighting potential systematic errors in simplified simulations within the left-right symmetric model.

Contribution

It introduces a detailed comparison between full and simplified matrix element calculations for $W_R$ production, quantifying systematic errors in current simulation approaches.

Findings

Simplified simulations can underestimate or overestimate cross sections.

Full matrix element calculations provide more accurate polarization effects.

Systematic errors depend on specific kinematic regions.

Abstract

We estimate possible systematic error that can arise in the simplified simulation of the $W_R$ production and its subsequent decay into heavy neutrino at LHC (left-right symmetric model). The general-purpose event generators simulate this process as a $W_R$ production followed by two decays, loosing full information about the polarization of the intermediate particles. We calculate the cross section using the full matrix elements with propagators, perform the simulation and compare the results with the simplified simulation