The muon g − 2 anomaly in EOGM with adjoint messengers

Abstract

The SUSY contributions Δaμ to muon g−2 anomaly can not reach 3σ in minimal gauge mediation models because of the strong correlations between the colored sparticle masses and the uncolored EW sparticle masses. An interesting extension of minimal gauge mediation scenario is the (Extra)Ordinary Gauge Mediation (EOGM) scenario, which can relax the correlations between squarks and sleptons with non-universal choices of Neff,3 and Neff,2. We find that EOGM models with Neff,3≪Neff,2 can explain the muon g−2 anomaly to 3σ range. We also propose to extend EOGM with additional adjoint Σ8 and Σ3 messengers at a energy scale of order 1.0×1014 GeV, which can shift ordinary gauge coupling unification scale MGUT to the string scale Mstr and reconcile the mysteriously proximity of the two scales. Such extended EOGM models with high scale adjoint messengers could spoil the unwanted gaugino mass ratios and predict light electroweakinos and sleptons. Therefore, they can give large SUSY contributions to Δaμ and explain the muon g−2 anomaly up to 1σ. Besides, because the mass scale of the messengers is high, such models will in general lead to large |At| at the EW scale, which not only can accommodate easily the 125 GeV Higgs but also can render the models natural with small fine tunings.