Phenomenological study of $$Z'$$ in the minimal $$B-L$$B-L model at LHC

The phenomenological study of neutral heavy gauge boson ((Z^{prime }_{B-L})) of the minimal (B-L) extension was done in the context of the LHC, on the dimuon production channel. The study begins with the LEP-II constraints on (Z') searches, and the dimuon events are simulated at the parton level at CM energies of 7 TeV and 8 TeV and studied with an integrated luminosity of 1.21 fb(^{-1}) and 20.5 fb(^{-1}) respectively. Later, the ATLAS detector-specific cuts unique to the muon pairs are imposed followed by the signal selection cuts on the invariant mass of the dimuon which restrict the events that are to be passed for signal-background analysis, that are finally compared with the ATLAS data, and accounted for no experimental detection of (Z^{prime }_{B-L}) boson. It has been simulated further at 14 TeV CM energy with an integrated luminosity of 300 fb(^{-1}) to predict a possible discovery of this (B-L) neutral-heavy gauge boson with a mass corresponding to 1.5 TeV and a (Z') coupling strength of 0.2 based on the signal-background analysis.