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.
Highlights
The muon Number minus the tau Number (Lμ − Lτ ) gauge symmetry [1,2,3,4] has been gaining an attention as an extension of the Standard Model (SM) of particle physics
MADGRAPH/MADEVENT 5 [56] implementing the necessary Feynman rules and relevant parameters of the model via FeynRules 2.0 [57], the PYTHIA 8 [59] is applied to deal with hadronization effects, the initial-state radiation (ISR) and final-state radiation (FSR) effects and the decays of SM particles, and Delphes [60] is used for detector level simulation
We have considered a minimal gauged Lμ − Lτ model where the Lμ − Lτ gauge symmetry is spontaneously broken by a SM singlet scalar field, and studied the possibility of discovering the new gauge boson Z and scalar boson φ at the LHC experiments
Summary
The muon Number minus the tau Number (Lμ − Lτ ) gauge symmetry [1,2,3,4] has been gaining an attention as an extension of the Standard Model (SM) of particle physics. The scalar boson can decay into two gauge bosons if kinematically allowed Such a decay is a clear signature of the spontaneous symmetry breaking or the mass generation. [40] where the mass region is favored to explain muon g − 2 We found that such a light gauge boson decaying into charged leptons is difficult to identify in the LHC experiments while the scalar and gauge boson masses can be reconstructed at the ILC experiment using energy-momentum conservation. We consider such a heavier Z with mass O(10) GeV in a minimal Lμ − Lτ model, and study a possibility of the search for both the gauge and scalar bosons at the LHC. The strong interaction part of the model is the same as that of the SM
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