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

TL;DR

This paper explores the potential to detect new gauge and scalar bosons predicted by a minimal $U(1)_{L_ - L_ au}$ model at the LHC, focusing on scalar decay into gauge bosons within a specific mass range.

Contribution

It introduces a novel search strategy for $Z'$ and scalar bosons via scalar decay in a gauged $L_ - L_ au$ model at the LHC, considering a mass range motivated by LHCb anomalies.

Findings

Signal significance for gauge boson detection reaches 3.

Signal significance for scalar boson detection reaches 5.

Effective detection depends on scalar mixing parameters.

Abstract

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.