Muon g-2 and LHC phenomenology in the $L_{\hat{I}}¼-L_{\ddot{I}}„$ gauge symmetric model

Abstract

In this paper, we consider phenomenology of a model with an $L_{\hat{I}}¼-L_{\ddot{I}}„$ gauge symmetry. Since the muon couples to the $L_{\hat{I}}¼-L_{\ddot{I}}„$ gauge boson (called $Z^{\prime \prime }$ 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 $Z^{\prime \prime }$ boson does not interact with the electron and quarks, and hence there are no strong constraints from collider experiments even if the $Z^{\prime \prime }$ boson mass is of the order of the electroweak scale. We show an allowed region of a parameter space in the $L_{\hat{I}}¼-L_{\ddot{I}}„$ 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.

26 pages, 12 figures