We calculate lepton flavor violating $Z\to l_1^{+}{l}_2^{-}$ decay in the framework of the general two Higgs doublet model. In our calculations we use the constraints for the Yukawa couplings ${\overline{\xi }}_{N,\tau e}^D$ and ${\overline{\xi }}_{N,\tau \mu }^D$ coming from the experimental result of the muon electric dipole moment and upper limit of $\mathrm{BR}(\mu \to e\gamma ).\mathrm{}$ We observe that it is possible to reach the present experimental upper limits for the branching ratios of such Z decays in model III.

• Received 6 June 2001

DOI:https://doi.org/10.1103/PhysRevD.65.013001