Study of the decay $B_s^0 \rightarrow J/\psi f_2^{\prime}(1525)$ in $\mu^+ \mu^- K^+K^-$ final states

Abstract

We investigate the decay $B_s^0 \rightarrow J/\psi K^+ K^-$ for invariant masses of the $K^+K^-$ pair in the range $1.35<M(K^+K^-)<2$ GeV. The data sample corresponds to an integrated luminosity of 10.4 fb$^{-1}$ of $p \bar{p}$ collisions at $\sqrt{s} = 1.96$ TeV accumulated with the D0 detector at the Fermilab Tevatron collider. From the study of the invariant mass and spin of the $K^+K^-$ system, we find evidence for the two-body decay \bsf and measure the relative branching fraction of the decays \bsf and \bsdec to be $R_{f_2^{\prime}/\phi} = 0.19 \pm 0.05 \rm \thinspace{(stat)} \pm 0.04 \rm \thinspace{(syst)}$.