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We study phenomenological aspects of the MSSM with extra U(1) gauge symmetry.We find that the lightest Higgs boson mass can be increased up to 125 GeV,without introducing a large SUSY scale or large A-terms, in the frameworks ofthe CMSSM and gauge mediated SUSY breaking (GMSB) models. This scenario cansimultaneously explain the discrepancy of the muon anomalous magnetic moment(muon g-2) at the 1 sigma level, in both of the frameworks, U(1)-extendedCMSSM/GMSB models. In the CMSSM case, the dark matter abundance can also beexplained.

Higgs mass and muon anomalous magnetic moment in the U(1) extended MSSM