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

In this paper, we investigate $τ^- \to e^-(μ^-) K\bar{K}(K\bar{K}=K ^+K^-,K^0\bar{K}^0)$ decays in the framework of the RPV SUSY model. We discuss the tree level contribution of the sparticles $\tildeν$ and $\tilde{u}$ to these decay branching ratios. In the two channels, the $\tildeν$-mediated channel is more sensitive to the parameter product $|λ^{'*}_{i22}λ_{i31(2)}|$ than the $\tilde{u}$-mediated channel to $|λ^{'*}_{1(2)j2}λ'_{3j2}|$. And the parameter product $|λ^{'*}_{i22}λ_{i31(2)}|$ is severely constrained to the order of ${\cal O}(10^{-5})$ by the experiment data with $m_{\tildeν}=100 GeV$, 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 $\tildeν$-mediated channel.

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