RPV SUSY effects in ${\tau }^{-}\to e^{-}({\mu }^{-})K\bar{K}$ Decays

Abstract

In this paper, we investigate ${\tau }^{-}\to e^{-}({\mu }^{-})K\bar{K}(K\bar{K}=K^{+}{K}^{-},K^0{\bar{K}}^0)$ decays in the framework of the RPV SUSY model. We discuss the tree level contribution of the sparticles $\tilde{\nu }$ and $\tilde{u}$ to these decay branching ratios. In the two channels, the $\tilde{\nu }$-mediated channel is more sensitive to the parameter product $|{\lambda }_{i22}^{{}^{\prime }\ast }{\lambda }_{i31(2)}|$ than the $\tilde{u}$-mediated channel to $|{\lambda }_{1(2)j2}^{{}^{\prime }\ast }{\lambda }_{3j2}^{\prime }|$. And the parameter product $|{\lambda }_{i22}^{{}^{\prime }\ast }{\lambda }_{i31(2)}|$ is severely constrained to the order of $\mathcal{O}(10^{-5})$ by the experiment data with $m_{\tilde{\nu }}=100GeV$, which is one order of magnitude more stringent than before. In the calculation of hadronic matrix elements, the resonant effects are large than those of non-resonant terms. Especially, the resonant contribution of scalar meson $f_{(980)}$ plays a dominate role in $\tilde{\nu }$-mediated channel.

Comments: 8 pages, 3 figures, 1 Table. Add the discussion of squarks' contribution