Anomalous U(1) Gauge Symmetry and Lepton Flavor Violation

In recent years, many people have studied the possibility that the anomalousU(1) gauge symmetry is a trigger of SUSY breaking and/or an origin of thefermion mass hierarchy. Though it is interesting that the anomalous U(1)symmetry may explain these two phenomena simultaneously, it causes a negativestop mass squared or a severe fine-tuning in order to avoid the FCNC problem.Recently, it was pointed out that the F-term contribution of the dilaton fieldcan dominate the flavor-dependent contribution from the anomalous U(1) D-term,so that the FCNC problem may be naturally avoided. In this paper, we study thecase in which the dilaton is stabilized by the deformation of the K\"ahlerpotential for the dilaton and find that the order of the ratio of the F-term tothe D-term contributions is generally determined. This implies that thebranching ratio of \mu \to e \gamma can be found around the presentexperimental bound.Comment: 23 pages including 5 figures, Latex, references adde