Phenomenology of lepton flavor violation in two Higgs doublet model type III from (g-2)μ and leptonic decays

We constrain some lepton flavor violating vertices in the context of the two Higgs doublet model type III, assuming that the lightest Higgs scalar mass mh0 is about 115 GeV. Specifically, based on the g-2 muon factor and the decay width of μ→eγ, the following quite general bounds are obtained: 7.62x10-4 < or approx. ξμτ2(less-or-similar sign)4.44x10-2; ξeτ2 < or approx.l 2.77x10-14. Additionally, based on the processes τ→μγ, and τ→μμμ, bounds on ξττ and ξμμ are also obtained; such constraints on these parameters still give enough room for either a strong suppression or strong enhancement on the coupling of any Higgs boson to a pair of tau leptons or a pair of muons. Furthermore, upper limits on the decay widths of the leptonic decays τ→eγ and τ→eee are calculated, finding them to stay far from the reach of near future experiments