Heavy Squarks and Light Sleptons in Gauge Mediation ~From the viewpoint of 125 GeV Higgs Boson and Muon g-2~

In the framework of gauge mediation models, we investigate scenarios with heavy squarks and light sleptons, motivated by the recent discovery of the Higgs boson and the deviation of the muon anomalous magnetic moment (g-2) from the SM prediction. We show that only models with a messenger multiplet in the adjoint representation of SU(5) GUT gauge group are the unique possibility that sleptons are light enough to explain the muon g-2 in the minimal setup. We also show that, if there is an additional source of the Higgs soft masses, the muon g-2 can be explained with messenger multiples in the fundamental representation of SU(5) with the help of the light higgsino. Some phenomenological aspects of these models are also discussed.