Muon g-2 in GMSB with Adjoint Messengers

We explored the sparticle mass spectrum in light of the muon g-2 anomaly and the little hierarchy problem in a class of gauge mediated supersymmetry breaking model. Here the messenger fields transform in the adjoint representation of the Standard Model gauge symmetry. To avoid unacceptably light right-handed slepton masses the standard model is supplemented by additional U(1)_B-L gauge symmetry. Considering a non-zero U(1)_B-L D-term leads to an additional contribution to the soft supersymmetry breaking mass terms which makes the right-handed slepton masses compatible with the current experimental bounds. We show that in the framework of Lambda_{3}<0 and mu < 0, the muon g-2 anomaly and the observed 125 GeV Higgs boson mass a can be simultaneously accommodated. The slepton masses in this case are predicted to lie in the few hundred GeV range, which can be tested at LHC. Despite the heavy colored spectrum the the little hierarchy problem in this model can be ameliorated and electroweak fine tuning parameter can be as low as 10 or so.