Measurement of $B (D^{+} \to {\bar{K}}^{* 0} l^{+} ν_{l})$

Using

13.53 f b^{- 1}

of CLEO data, we have measured the ratios of the branching fractions

R_{e}^{+}, R_{μ}^{+}

and the combined branching fraction ratio

R_{l}^{+}

, defined by

R_{l}^{+} = [B (D^{+} \to {\bar{K}}^{* 0} l^{+} ν_{l})] / [B (D^{+} \to K^{-} π^{+} π^{+})]

. We find

R_{e}^{+} = 0.74 \pm 0.04 \pm 0.05

R_{μ}^{+} = 0.72 \pm 0.10 \pm 0.05

, and

R_{l}^{+} = 0.74 \pm 0.04 \pm 0.05

, where the first and second errors are statistical and systematic, respectively. The known branching fraction

B (D^{+} \to K^{-} π^{+} π^{+})

leads to

B (D^{+} \to {\bar{K}}^{* 0} e^{+} ν_{e}) = (6.7 \pm 0.4 \pm 0.5 \pm 0.4) %

B (D^{+} \to {\bar{K}}^{* 0} μ^{+} ν_{μ}) = (6.5 \pm 0.9 \pm 0.5 \pm 0.4) %

, and

B (D^{+} \to {\bar{K}}^{* 0} l^{+} ν_{l}) = (6.7 \pm 0.4 \pm 0.5 \pm 0.4) %

, where the third error is due to the uncertainty in

B (D^{+} \to K^{-} π^{+} π^{+})

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Measurement ofB(D+→K¯*0l+νl)