Measurement of the Decays $B_s^0\to J\mathrm{/}\psi \varphi (1020)$, $B_s^0\to J\mathrm{/}\psi f_2^{\mathrm{\prime }}(1525)$ and $B_s^0\to J\mathrm{/}\psi K^{+}{K}^{-}$ at Belle

We report a measurement of the branching fraction of the decay $B^0_s\to J/\psi,\phi(1020)$,evidenceandabranchingfractionmeasurementfor$B^0_s\to J/\psi,f’_2(1525)$,andthedeterminationofthetotal$B^0_s\to J/\psi,K^+K^-$ branching fraction, including the resonant and non-resonant contributions to the $K^{+}{K}^{-}$ channel. We also determine the $S$-wave contribution within the $\varphi (1020)$ mass region. The absolute branching fractions are $$\mathcal{B}$[B^0_s\to J/\psi,\phi(1020)]=(1.25 \pm 0.07\left($\mathrm{s}\mathrm{t}\mathrm{a}\mathrm{t}$\right)\pm 0.08\left($\mathrm{s}\mathrm{y}\mathrm{s}\mathrm{t}$\right)\pm 0.22\left(f_s\right))\times 10^{-3}$,$$\mathcal{B}$[B^0_s\to J/\psi,f’_2(1525)]=(0.26\pm 0.06\left($\mathrm{s}\mathrm{t}\mathrm{a}\mathrm{t}$\right)\pm 0.02\left($\mathrm{s}\mathrm{y}\mathrm{s}\mathrm{t}$\right) \pm 0.05\left(f_s\right))\times 10^{-3}$and$$\mathcal{B}$[B^0_s\to J/\psi,K^+K^-] = (1.01\pm 0.09\left($\mathrm{s}\mathrm{t}\mathrm{a}\mathrm{t}$\right) \pm 0.10\left($\mathrm{s}\mathrm{y}\mathrm{s}\mathrm{t}$\right)\pm 0.18\left(f_s\right))\times 10^{-3}$, where the last systematic error is due to the branching fraction of $b\bar{b}\to B_s^{(\ast )}{B}_s^{(\ast )}$. The branching fraction ratio is found to be $$\mathcal{B}$[B^0_s\to J/\psi,f’_2(1525)]/$\mathcal{B}$[B^0_s\to J/\psi,\phi(1020)]=(21.5\pm 4.9\left($\mathrm{s}\mathrm{t}\mathrm{a}\mathrm{t}$\right) \pm2.6\left($\mathrm{s}\mathrm{y}\mathrm{s}\mathrm{t}$\right))%$\mathrm{.}Allresultsarebasedona121.4fb$^{-1}$datasamplecollectedatthe$\Upsilon(5S)$ resonance by the Belle experiment at the KEKB asymmetric-energy $e^{+}{e}^{-}$ collider.