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Lepton Flavor Violating $τ$ Decays in TeV Scale Type I See-Saw and Higgs Triplet Models

The lepton flavour violating (LFV) $τ$ decays $τ\to (e,μ)γ$ and $τ\to 3μ$ are investigated in the frameworks of the TeV scale type I see-saw and Higgs Triplet (or type II see-saw) models. Predictions for the rates of these processes are obtained. The implications of the existing stringent experimental upper bounds on the $μ\to e + γ$ and $μ\to 3e$ decay branching ratios for the predictions of the $τ\to (e,μ)γ$ and $τ\to 3μ$ decay rates are studied in detail. The possibilities to observe the indicated LFV $τ$ decays in present and future experiments are analysed.