Analysis of the $B_{s}\rightarrow \bar{D}^{0} \phi$ decay

Abstract

In this paper we analyzed the $ B_{s}\rightarrow \bar{D}^{0} \phi$ decay within different frameworks. At first we consider the naive factorization (NF) and the QCD factorization (QCDF) approach, where the final states are a pseudoscalar meson and vector meson; then we consider the final state interaction (FSI) effect, where the intermediate state is $ D_{s}^{\ast-}K^{+}$ to improve the branching ration. In QCDF we considered the nonfactorizable corrections, such as vertex correction and hard spectator interactions. First observation of the $ B_{s} \rightarrow \bar{D}^{0} \phi$ decay is reported using pp collision data, corresponding to an integrated luminosity of 1.0 fb-1, collected by the LHCb experiment at a center-of-mass energy of 7TeV. Our results in the naive factorization approach is $ 8.73^{+0.01}_{-0.01} \times 10^{-7}$ and in QCDF approach is $ 4.03^{+0.01}_{-0.02} \times 10^{-6}$ and the improved branching ratio is $ 1.84^{+0.18}_{-0.17} \times 10^{-5}$ , when we consider the final state interaction effect in energy scale $ \mu = m_{b}$ . It is near the experimental value, which is $ 2.3\times 10^{-5}$ .