Muon anomalous magnetic moment constraints on supersymmetric U(1)' models

We study the anomalous magnetic moment of the muon in supersymmetric E-6 models and generic U(1)' models to probe the model reactions and to find constraints on the large parameter space of these models. For future searches, by imposing the existing bounds coming from collider searches and theoretical considerations upon the U(1)' model parameters, we examine the lightest Higgs boson mass m(h) and the mass of the additional Z boson m(Z2) in such singlet extensions of the MSSM. We observed that not only supersymmetric E-6 models but also generic U(1)' models are sensitive to the imposition of the considered bounds. Indeed, without the muon anomaly constraints E-6 models and generic U(1)' models can predict m(h) as large as similar to 150 GeV and similar to 180 GeV, respectively. However, in addition to the mentioned constraints when a 1 sigma range for the anomalous magnetic moment of the muon is considered, we observe that generic U(1)' models do not favor the mass of the lightest Higgs boson to be larger than 140 GeV; it should be smaller than 135 GeV in E-6 models.