Muon anomalous magnetic dipole moment in the $μ$-problem solvable extra U(1) models

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The recent measurement of the muon anomalous magnetic dipole moment shows 2.6$σ$ deviation of $a_μ$ from the standard model prediction which can be explained by a chargino-sneutrino loop correction in the supersymmetric models. In this paper we consider extra U(1) models where the $μ$ parameter is radiatively generated. This model predicts the sign of $μ$ is positive in wide parameter regions. But even the 2$σ$ constraint causes a serious contradiction to the experimental bound of the extra neutral gauge boson mass. Although a minimal supergravity scenario is ruled out, a very small window is remained as an allowed region for a no-scale model with non-universal gaugino masses.
22 pages, latex, 14 figures

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