Phenomenology of lepton flavor violation in 2HDM(III) from (g-2)_mu and leptonic decays

Abstract

We constrain some lepton flavor violating vertices in the context of the two Higgs doublet model type III, assuming that the lightest scalar Higgs mass is about $115$GeV. Specifically, based on the $g-2$muon factor and the decay width of$\mu \to e\gamma$,the following quite general bounds are obtained:$7.62\times 10^{-4}\lesssim {\xi }_{\mu \tau }^2\lesssim 4.44\times 10^{-2},$ ${\xi }_{e\tau }^2\lesssim 2.77\times 10^{-14}$. Additionally, based on the processes $\tau \to \mu \gamma$, and $\tau \to \mu \mu \mu$, bounds on ${\xi }_{\tau \tau }$and ${\xi }_{\mu \mu }$are also gotten, such constraints on these parametersstill give enough room for either a strong suppressionor strong enhancement on the coupling of any Higgs boson to a pair of tau leptons or a pair of muons\textbf{.} Furthermore, upper limits on the decay widths of the leptonic decays $\tau \to e\gamma ,$and $\tau \to eee$are calculated, finding them to stay far from the reach of near future experiments.

Comments: Departamento de Fisica, Universidad Nacional de Colombia, Bogota, Colombia. 12 pages, 2 figures