Measurement of the Forward-Backward Asymmetry in the B -> K(*) mu+ mu- Decay and First Observation of the Bs -> phi mu+ mu- Decay

Abstract

We reconstruct the rare decays $B^{+}\to K^{+}{\mu }^{+}{\mu }^{-}$, $B^0\to K^{\ast }(892{)}^0{\mu }^{+}{\mu }^{-}$, and $B_s^0\to \varphi (1020){\mu }^{+}{\mu }^{-}$ in a data sample corresponding to $4.4\mathrm{f}{\mathrm{b}}^{-1}$ collected in $p\bar{p}$ collisions at $\sqrt{s}=1.96\mathrm{TeV}$ by the CDF II detector at the Fermilab Tevatron Collider. Using $121\pm 16$ $B^{+}\to K^{+}{\mu }^{+}{\mu }^{-}$ and $101\pm 12$ $B^0\to K^{\ast 0}{\mu }^{+}{\mu }^{-}$ decays we report the branching ratios. In addition, we report the measurement of the differential branching ratio and the muon forward-backward asymmetry in the $B^{+}$ and $B^0$ decay modes, and the $K^{\ast 0}$ longitudinal polarization in the $B^0$ decay mode with respect to the squared dimuon mass. These are consistent with the theoretical prediction from the standard model, and most recent determinations from other experiments and of comparable accuracy. We also report the first observation of the $B_s^0\to \varphi {\mu }^{+}{\mu }^{-}decayandmeasureitsbranchingratio${\mathcal{B}}(B^0_s \to ϕμ^+μ^-) = [1.44 \pm 0.33 \pm 0.46] \times 10^{-6}$using$27 \pm 6$signalevents.Thisiscurrentlythemostrare$B^0_s$ decay observed.

7 pages, 2 figures, 3 tables. Submitted to Phys. Rev. Lett

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• Measurement of the Differential Branching Fraction and Forward-Backword Asymmetry for B->K(*)l+l-
• Angular Distributions of B -> K ll Decays
• Evidence for a Narrow Near-Threshold Structure in the $J/\psi \varphi$ Mass Spectrum in $B^{+}\to J/\psi \varphi K^{+}$ Decays
• Search for the Rare Decay B0_s -> phi mu^+ mu- with the D0 Detector

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