On a possible manifestation of the four color symmetry $Z'$ boson in $\mu^+\mu^-$ events at the LHC

TL;DR

This paper investigates the potential detection of a $Z'$ boson, predicted by four color symmetry models, in muon pair production at the LHC, analyzing how its mass affects observable signals.

Contribution

It provides a calculation of the muon pair production cross section including the $Z'$ boson from minimal four color quark-lepton symmetry and identifies the mass region where it could be observed at the LHC.

Findings

Identifies the $Z'$ mass range detectable at the LHC.

Analyzes the muon invariant mass spectrum with the $Z'$ contribution.

Provides dependence of observability on luminosity and significance.

Abstract

The cross section of the $\mu^+\mu^-$ pair production in $pp$-collisions at the LHC is calculated with acount of the $Z'$ boson induced by the minimal four color quark-lepton symmetry($MQLS$). The $\mu^+\mu^-$ invariant mass spectrum with account of the $MQLS$ $Z'$ boson is analysed in dependence on the $Z'$ mass. The mass region for the $MQLS$ $Z'$ boson observable at the LHC is found in dependence on the significance and on the integrated luminosity.