A bstract We studied an extension of the standard model with a fourth generation of fermions to explain the discrepancy in the muon ( g ?2) and explain the positron excess seen in the AMS-02 experiment. We introduce a gauged SU(2)~(HV)horizontal symmetry between the muon and the 4th generation lepton families. The 4th generation right-handed neutrino is identified as the dark matter with mass ~ 700GeV. The dark matter annihilates only to ( μ _(+) μ _(?)) and ( ν ~( μ )_( C ) ν ~( μ )) states via SU(2)~(HV)gauge boson. The SU(2)~(HV)gauge boson with mass ~ 1.4 TeV gives an adequate contribution to the ( g ? 2) of muon and fulfill the experimental constraint from BNL measurement. The higgs production constraints from 4th generation fermions is evaded by extending the higgs sector.
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