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