Explaining muon magnetic moment and AMS-02 positron excess in a gauged horizontal symmetric model

We extended the standard model with a fourth generation of fermions to explain the discrepancy in the muon magnetic moment and to describe the positron excess observed byAMS-02 experiment. We introduce a gauged SU(2)HV horizontal symmetry between the muon and the 4th generation lepton families and identified the 4th generation right-handed neutrino as the dark matter with mass ∼700 GeV. The dark matter annihilates through SU(2)HV gauge boson into final states (μ⁺ μ⁻) and (ν^c <inf>μ</inf> ν<inf>μ</inf>). The SU(2)HV gauge boson with mass ∼1.4 TeV gives the required contribution to the muon (g − 2) and satisfy the experimental constraint from BNL measurement.