A 125GeV Higgs Boson and Muon g-2 in More Generic Gauge Mediation

Recently, the ATLAS and CMS collaborations reported exciting hints of a Standard Model-like Higgs boson with a mass around 125GeV. A Higgs boson this heavy is difficult to realize in conventional models of gauge mediation. Here we revisit the lightest Higgs boson mass in "more generic gauge mediation," where the Higgs doublets mix with the messenger doublets. We show that a Higgs boson mass around 125GeV can be realized in more generic gauge mediation models, even for a relatively light gluino mass ~1TeV. We also show that the muon anomalous magnetic moment can be within 1sigma of the experimental value for these models, even when the Higgs boson is relatively heavy. We also discuss the LHC constraints and the prospects of discovery.