Inverted effective SUSY with combined Z' and gravity mediation, and muon anomalous magnetic moment

Abstract

Effective supersymmetry(SUSY) where stop is the lightest squark may run into a two-loop tachyonic problem in some Z' mediation models. In addition, a large A term or/and a large stop mass are needed to have about a 126 GeV Higgs boson with three families of quarks and leptons. Thus, we suggest an inverted effective SUSY(IeffSUSY) where stop mass is larger compared to those of the first two families. In this case, it is possible to have a significant correction to the anomalous magnetic moment of muon. A three family IeffSUSY in a Z' mediation scenario is explicitly studied with the Z' quantum number related to B-L. Here, we adopt both the Z' mediation and gravity mediation where the Z' mediation is the dominant one for stop, while the gravity mediation is the dominant one for the muonic leptons and Higgs multiplets. We present a numerical study based on a specific anomaly free model, and show the existence of the parameter region where all the phenomenological conditions are satisfied.

10 pages with 5 figures

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• Muon g-2 and 125 GeV Higgs in Split-Family Supersymmetry
• Abelian discrete symmetries Z_{N} and Z_{nR} from string orbifolds
• Natural Higgs-flavor-democracy solution of the mu problem of supersymmetry and the QCD axion
• The Muon Magnetic Moment and Physics Beyond the Standard Model
• U(1)_{B_1+B_2-2L_1} mediation for the natural SUSY and the anomalous muon g-2
• The mass-degenerate SM-like Higgs and anomaly of $(g-2{)}_{\mu }$ in $\mu$-term extended NMSSM