Muon g-2 and LHC phenomenology in the L-mu-L-tau gauge symmetric model

In this paper, we consider phenomenology of a model with an L mu - L tau gauge symmetry. Since the muon couples to the L mu - L tau gauge boson (called Z '' boson), its contribution to the muon anomalous magnetic moment (muon g-2) can account for the discrepancy between the standard model prediction and the experimental measurements. On the other hand, the Z '' boson does not interact with the electron and quarks, and hence there are no strong constraints from collider experiments even if the Z '' boson mass is of the order of the electroweak scale. We show an allowed region of a parameter space in the L mu - L tau symmetric model, taking into account consistency with the electroweak precision measurements as well as the muon g-2. We study the Large Hadron Collider (LHC) phenomenology, and show that the current and future data would probe the interesting parameter space for this model.