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We report an observation of the decay in a data sample containing pairs collected with the Belle detector at the KEKB asymmetric-energy collider. We find a signal with a significance of 5.2 standard deviations and measure the branching fraction $(B^0\to D^{*-} \tau ^+ \nu_{\tau})=(2.02 ^{+0.40}{-0.37} (stat) \pm 0.37 (syst)) % Bb \to c \tau \nu{\tau}$ transition.

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