Gauged L μ − L τ at a muon collider

We investigate the sensitivity of the projected TeV muon collider to the gaugedLμ−Lτ model. Two processes are considered: Z′-mediated two-body scatterings μ+μ−→ℓ+ℓ− with ℓ=μ or τ and scattering with initial state photon emission,μ+μ−→γZ′,Z′→ℓ¯ℓ, where ℓ can be μ, τ, or νμ/τ. We quantitatively study the sensitivities of these two processes by taking into account possible signals and relevant backgrounds in a muon collider experiment with a center-of-mass energy√s=3 TeV and a luminosity L=1 ab−1. For two-body scattering, one can exclude Z′ masses MZ′≲100 TeV with O(1) gauge couplings. When MZ′≲1 TeV