$B$ meson decays to $\omega K^{*}$, $\omega \rho$, $\omega \omega$, $\omega \varphi$, and $\omega f_0$

We describe searches for $B$ meson decays to the charmless vector-vector final states $\omega K^{*}$, $\omega \rho$, $\omega \omega$, and $\omega \varphi$ with $233\times {10}^6$ $B\overline{B}$ pairs produced in $e^{+}{e}^{-}$ $B\overline{B}$ annihilation at $\sqrt{s}=10.58\mathrm{GeV}$. We also search for the vector-scalar $B$ decay to $\omega f_0$. We measure the following branching fractions in units of ${10}^{-6}$: $\mathcal{B}(B^0\to \omega K^{*0})=2.4\pm 1.1\pm 0.7(<4.2)$, $\mathcal{B}(B^{+}\to \omega K^{*+})={0.6}_{-1.2-0.9}^{+1.4+1.1}(<3.4)$, $\mathcal{B}(B^0\to \omega {\rho }^0)=-0.6\pm {0.7}_{-0.3}^{+0.8}(<1.5)$, $\mathcal{B}(B^{+}\to \omega {\rho }^{+})=10.6\pm {2.1}_{-1.0}^{+1.6}$, $\mathcal{B}(B^0\to \omega \omega )={1.8}_{-0.9}^{+1.3}\pm 0.4(<4.0)$, $\mathcal{B}(B^0\to \omega \varphi )=0.1\pm 0.5\pm 0.1(<1.2)$, and $\mathcal{B}(B^0\to \omega f_0)=0.9\pm {0.4}_{-0.1}^{+0.2}(<1.5)$. In each case the first error quoted is statistical, the second systematic, and the upper limits are defined at the 90% confidence level. For $B^{+}\to \omega {\rho }^{+}$ decays we also measure the longitudinal spin component $f_L=0.82\pm 0.11\pm 0.02$ and the charge asymmetry ${\mathcal{A}}_{CP}=0.04\pm 0.18\pm 0.02$.

Figure 1

Projections of $\Delta E$ (left panel) and $m_{\mathrm{ES}}$ (right panel) of events passing a signal likelihood threshold for, from top to bottom, $B^0\to \omega K^{*0}$, $B^{+}\to \omega K^{*+}$, $B^0\to \omega {\rho }^0$, $B^{+}\to \omega {\rho }^{+}$, $B^0\to \omega \omega$, $B^0\to \omega \varphi$, and $B^0\to \omega f_0$. The solid curve is the fit function, the dashed curve is the signal contribution, and the dot-dashed curve is the background contribution.

Figure 2

Projections of helicity-angle cosines, of events passing a signal likelihood threshold for $\omega$ (left panel) and ${\rho }^{+}$ (right panel) from the fit for $B^{+}\to \omega {\rho }^{+}$ decay. The solid curve is the fit function, the dashed curve is the signal contribution, and the dot-dashed curve is the background contribution.

Figure 3

Distribution of $-2\ln \mathcal{L}(f_L,\mathcal{B})$ for $B^{+}\to \omega {\rho }^{+}$ decay. The solid dot gives the central value; curves give the contours in 1-sigma steps [$\Delta \sqrt{-2\ln \mathcal{L}}(f_L,\mathcal{B})=1$].