Measurement of the Decays $B_s^0\to J/\ddot{I}ˆ\ddot{I}•(1020)$, $B_s^0\to J/\ddot{I}ˆf_2^{\prime }(1525)$ and $B_s^0\to J/\ddot{I}ˆK^{+}{K}^{-}$ at Belle

Abstract

We report a measurement of the branching fraction of the decay $B_s^0\to J/\ddot{I}ˆ\ddot{I}•(1020)$, evidence and a branching fraction measurement for $B_s^0\to J/\ddot{I}ˆf_2^{\prime }(1525)$, and the determination of the total $B_s^0\to J/\ddot{I}ˆK^{+}{K}^{-}$ branching fraction, including the resonant and non-resonant contributions to the $K^{+}{K}^{-}$ channel. We also determine the $S$-wave contribution within the $\ddot{I}•(1020)$ mass region. The absolute branching fractions are $\mathcal{B}[B_s^0\to J/\ddot{I}ˆ\ddot{I}•(1020)]=(1.25\pm 0.07\left(\mathrm{stat}\right)\pm 0.08\left(\mathrm{syst}\right)\pm 0.22\left(f_s\right))\times 10^{-3}$, $\mathcal{B}[B_s^0\to J/\ddot{I}ˆf_2^{\prime }(1525)]=(0.26\pm 0.06\left(\mathrm{stat}\right)\pm 0.02\left(\mathrm{syst}\right)\pm 0.05\left(f_s\right))\times 10^{-3}$ and $\mathcal{B}[B_s^0\to J/\ddot{I}ˆK^{+}{K}^{-}]=(1.01\pm 0.09\left(\mathrm{stat}\right)\pm 0.10\left(\mathrm{syst}\right)\pm 0.18\left(f_s\right))\times 10^{-3}$, where the last systematic error is due to the branching fraction of $b\bar{b}\to B_s^{(\ast )}{B}_s^{(\ast )}$. The branching fraction ratio is found to be $\mathcal{B}[B_s^0\to J/\ddot{I}ˆf_2^{\prime }(1525)]/\mathcal{B}[B_s^0\to J/\ddot{I}ˆ\ddot{I}•(1020)]=(21.5\pm 4.9\left(\mathrm{stat}\right)\pm 2.6\left(\mathrm{syst}\right))$. All results are based on a 121.4 fb${}^{-1}$ data sample collected at the $\hat{I}\yen (5S)$ resonance by the Belle experiment at the KEKB asymmetric-energy $e^{+}{e}^{-}$ collider.

7 pages, 6 figures, 4 tables, accepted by Phys. Rev. D