Lepton Flavor Violating ${\tau }^{-}\to {\mu }^{-}PP$ Decays in the Two Higgs Doublet Model III

Abstract

In this paper, the lepton flavor violating ${\tau }^{-}\to {\mu }^{-}PP(PP=K^{+}{K}^{-},K^0{\bar{K}}^0,{\pi }^{+}{\pi }^{-},{\pi }^0{\pi }^0)$ decays are studied in the framework of the two Higgs doublet model(2HDM) III. We calculate these decays branching ratios and get the bounds of model parameter $|{\lambda }_{\tau \mu }|$ from the experimental upper limits. Our results show that, the neutral Higgs bosons have tree-level contributions to these decays. Among these decays, the ${\tau }^{-}\to {\mu }^{-}{K}^{+}{K}^{-}$ decay is most sensitive to $|{\lambda }_{\tau \mu }|$. In the existing parameters space, these decays could reach the measure capability of B factory. These processes can provide some valuable information to future research and furthermore present the reliable evidence to test the 2HDM III model.

Comments: 12 pages, 3 figures