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Using data recorded by the CLEO-II detector at CESR, we report the firstmeasurement of the branching fraction for the decay of $\tau^-$ into$K^{*-}\eta \nu_{\tau}$. The measured branching fraction is (2.9 +- 0.8 +- 0.4)$10^{-4}$. We also measure the inclusive branching fractions without requiringthe $K^*$ resonance: $\tau^-$ into $K_S \pi^- \eta \nu_{\tau}$, $\tau^-$ into$K^- \pi^0 \eta \nu_{\tau}$. The measured branching fractions are (1.10 +- 0.35+- 0.11) $10^{-4}$, (1.77 +- 0.56 +- 0.71) $10^{-4}$ respectively.

physical review letters

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First Observation of the Decayτ−→K*−η