  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.
