Measurement of the ratio $B (B^{-} \to D^{* 0} K^{-}) / B (B^{-} \to D^{* 0} π^{-})$ and of the $C P$ asymmetry of $B^{-} \to D_{C P +}^{* 0} K^{-}$ decays

We study the decays

B^{-} \to D^{* 0} π^{-}

and

B^{-} \to D^{* 0} K^{-}

, where the

D^{* 0}

decays into

D^{0} π^{0}

, with the

D^{0}

reconstructed in the

C P

-even (

C P +

) eigenstates

K^{-} K^{+}

and

π^{-} π^{+}

and in the (non-

C P

) channels

K^{-} π^{+}

K^{-} π^{+} π^{+} π^{-}

, and

K^{-} π^{+} π^{0}

. Using a sample of about

123 \times 10^{6}

B \bar{B}

pairs, we measure the ratios of decay rates

R_{n o n - C P}^{*} \equiv \frac{B (B^{-} \to D_{n o n - C P}^{* 0} K^{-})}{B (B^{-} \to D_{n o n - C P}^{* 0} π^{-})} = 0.0813 \pm 0.0040 {(s t a t)}_{- 0.0031}^{+ 0.0042} (s y s t),

and provide the first measurements of

R_{C P +}^{*} \equiv \frac{B (B^{-} \to D_{C P +}^{* 0} K^{-})}{B (B^{-} \to D_{C P +}^{* 0} π^{-})} = 0.086 \pm 0.021 (s t a t) \pm 0.007 (s y s t),

and of the

C P

asymmetry

A_{C P +}^{*} \equiv B (B^{-} \to D_{C P +}^{* 0} K^{-}) - B

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Measurement of the ratio B(B−→D*0K−)/B(B−→D*0π−) and of the CP asymmetry of B−→DCP+*0K− decays