Bounds on Anomalous Magnetic and Electric Moments of $\tau$ Lepton from LEP and Lepton Flavor Violation

The most stringent bounds on the anomalous magnetic and electric dipole moments of the tau lepton was derived by Escribano and Massó[6] from the Z width at LEP in an effective lagrangian approach to the new physics. In this paper we point out that the higher dimensional operators introduced by Escribano and Massó not only modify the neutral currents of the tau lepton to Z gauge boson and the photon, but also induce lepton flavor violation (LFV). The size of the LFV effect depends crucially on the dynamics of the lepton mass generation. Assuming the lepton mass matrices in the form of an Fritzsch ansatz, we point out that the experimental limit on $\mu \to e \gamma$ will push the anomalous magnetic and electric dipole moments of the tau lepton down to $10^{-11}$ and $10^{-25} e cm$ respectively.