Non-universal SUSY models, gμ-2, mH and dark matter

We study the anomalous magnetic moment of the muon, g_μ-2≡2a_μ, in the context of supersymmetric models beyond the CMSSM, where the unification of either the gaugino masses M_1,2,3 or sfermion and Higgs masses is relaxed, taking into account the measured mass of the Higgs boson, m_H, the cosmological dark matter density and the direct detection rate. We find that the model with non-unified gaugino masses can make a contribution Δa_μ∼20×10^-10 to the anomalous magnetic moment of the muon, for example if M_1,2∼600GeV and M₃∼8TeV. The model with non-universal sfermion and Higgs masses can provide even larger Δa_μ∼24×10^-10 if the sfermion masses for the first and the second generations are ∼400GeV and that of the third is ∼8TeV. We discuss the prospects for collider searches for supersymmetric particles in specific benchmark scenarios illustrating these possibilities, focusing in particular on the prospects for detecting the lighter smuon and the lightest neutralino.