ar X iv : h ep - p h / 05 08 05 4 v 1 4 A ug 2 00 5 Higgs - Mediated τ → μ and τ → e transitions in II Higgs doublet Model and

We study the phenomenology of the µ − τ and e − τ lepton flavour violation (LFV) in a general two Higgs Doublet Model (2HDM) including the supersymmetric case. We consider several LFV decay modes of the charged fermion τ , namely τ → l j γ, τ → l j l k l k and τ → l j η. The predictions and the correlations among the rates of the above processes are computed. In particular, it is shown that τ → l j γ processes are the most sensible channels to Higgs-mediated LFV if the splitting among the neutral Higgs bosons masses is not below the 10% level.