Search for $Z'$ pair production from scalar boson decay in minimal $U(1)_{L_\mu - L_\tau }$ model at the LHC

We consider a model with gauged $L_\mu ^{} - L_\tau ^{}$ symmetry in which the symmetry is spontaneously broken by a scalar field. The decay of the scalar boson into two new gauge bosons is studied as a direct consequence of the spontaneous symmetry breaking. Then, a possibility of searches for the gauge and scalar bosons through such a decay at the LHC experiment is discussed. We consider the case that the mass range of the gauge boson is ${\mathcal {O}}(10)$ GeV, which is motivated by anomalies reported by LHCb. We will show that the signal significance of the searches for the gauge boson and scalar boson reach to 3 and 5 for the scalar mixing 0.012 and 0.015, respectively.