Abstract
Considering the superior performances of the future e-p colliders, LHeC and FCC-eh, we discuss the feasibility of detecting the extra neutral scalar h_{2} and the light gauge boson Z^{}_{mu tau }, which are predicted by the {U(1)}_{L^{}_{mu } - L^{}_{tau }} model. Taking into account the experimental constraints on the relevant free parameters, we consider all possible production channels of h_{2} and Z^{}_{mu tau } at e-p colliders and further investigate their observability through the optimal channels in the case of the beam polarization hbox {P}(e^{-})= -0.8. We find that the signal significance above 5sigma of h_{2} as well as Z^{}_{mu tau } detecting can be achieved via process and a 5sigma sensitivity of Z^{}_{mu tau } detecting can be gained via process at e-p colliders with appropriate parameter values and a designed integrated luminosity. However, the signals of h_{2} decays into pair of SM particles are difficult to be detected.
Highlights
The additional scalar h2 and gauge boson Zμτ are obtained after spontaneous breaking of Lμ − Lτ symmetry
The gauge boson Zμτ possessing a mass around the MeV scale can explain the deficit of cosmic neutrino flux and resolve the problem of muon (g − 2) anomaly and relic abundance of dark matter (DM) simultaneously
Since Zμτ can not couple with the standard model (SM) quarks and the first generation leptons, it is very difficult to be produced directly at colliders
Summary
There are many well motivated extensions of the SM, such as SUSY [14,15,16,17], two Higgs doublet model [18,19,20,21,22,23], and extension of the SM with an extra U (1) gauge group [24,25,26,27,28,29,30]. An extra neutral gauge boson Zμτ is introduced and obtains a mass after spontaneous symmetry breaking of U (1)Lμ−Lτ. When the scalar field φH has a non-zero of VEV, the U (1)Lμ−Lτ symmetry breaks spontaneously and the corresponding new gauge boson Zμτ obtains the. Some relevant couplings of the SM-like Higgs boson h1 with the SM particles, the new gauge boson Zμτ and the DM candidate φDM are given by gZμτ Zμτ h1. Taking no account of the neutrino masses, the expression form of the total decay width of Zμτ is given by. In the U (1)Lμ−Lτ model, three new free parameters are introduced, which are the new gauge coupling constant gμτ , the Zμτ mass MZμτ and the scalar mixing angle α, respectively. We will focus our attention on the phenomenology of the new particles h2 and Zμτ at e-p colliders in the above allowed parameter space
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