Abstract
We discuss the discovery potential of a promising signals, 3 times mu ^+ mu ^- at a mu ^+ mu ^- collider and mu ^+ mu ^+ mu ^+ mu ^+ mu ^- mu ^- at a mu ^+ mu ^+ collider, that are obtained via production of Z' and a new scalar boson phi in a spontaneously broken local U(1)_{L_mu - L_tau } model. We consider the Z' associated production from the process mu ^+ mu ^- rightarrow phi Z' in addition to a muonphilic Z' fusion process mu ^+ mu ^pm rightarrow phi mu ^+ mu ^pm . The scalar boson is associated with U(1)_{L_mu - L_tau } symmetry breaking and dominantly decays into Z' Z' mode. We carry out numerical simulation analysis for signal and background processes to estimate a discovery significance for different benchmark points. It is shown that our signal can be observed with integrated luminosity less than mathcal {O}(100) fb^{-1} for both mu ^+ mu ^- and mu ^+ mu ^+ colliders with more than 5-sigma significance.
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