Measurements of Branching Fractions of $\tau$ Lepton Decays with one or more $K_S^0$

Abstract

We report measurements of branching fractions of $\tau$ lepton decays to final states with a $K_S^0$ meson using a 669 fb${}^{-1}$ data sample accumulated with the Belle detector at the KEKB asymmetric-energy $e^{+}{e}^{-}$ collider. The inclusive branching fraction is measured to be $\mathcal{B}({\tau }^{-}\to K_S^0{X}^{-}{\nu }_{\tau })=(9.15\pm 0.01\pm 0.15)\times 10^{-3}$, where $X^{-}$ can be anything; the exclusive branching fractions are $\mathcal{B}({\tau }^{-}\to {\pi }^{-}{K}_S^0{\nu }_{\tau })=(4.16\pm 0.01\pm 0.08)\times 10^{-3}$, $\mathcal{B}({\tau }^{-}\to K^{-}{K}_S^0{\nu }_{\tau })=(7.40\pm 0.07\pm 0.27)\times 10^{-4}$, $\mathcal{B}({\tau }^{-}\to {\pi }^{-}{K}_S^0{\pi }^0{\nu }_{\tau })=(1.93\pm 0.02\pm 0.07)\times 10^{-3}$, $\mathcal{B}({\tau }^{-}\to K^{-}{K}_S^0{\pi }^0{\nu }_{\tau })=(7.48\pm 0.10\pm 0.37)\times 10^{-4}$, $\mathcal{B}({\tau }^{-}\to {\pi }^{-}{K}_S^0{K}_S^0{\nu }_{\tau })=(2.33\pm 0.03\pm 0.09)\times 10^{-4}$, $\mathcal{B}({\tau }^{-}\to {\pi }^{-}{K}_S^0{K}_S^0{\pi }^0{\nu }_{\tau })=(2.00\pm 0.22\pm 0.20)\times 10^{-5}$, where the first uncertainty is statistical and the second is systematic. For each mode, the accuracy is improved over that of pre-$B$-factory measurements by a factor ranging from five to ten. In ${\tau }^{-}\to {\pi }^{-}{K}_S^0{K}_S^0{\pi }^0{\nu }_{\tau }$ decays, clear signals for the intermediate states ${\tau }^{-}\to {\pi }^{-}{f}_1(1285){\nu }_{\tau }$ and ${\tau }^{-}\to K^{\ast -}{K}_S^0{\pi }^0{\nu }_{\tau }$ are observed.

17 pages, 18 figures, submitted to Phys. Rev. D

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• Tau and muon pair production cross-sections in electron-positron annihilations at sqrt{s} = 10.58 GeV

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