Understanding B -->J/\Psi \phi in the Standard Model

Abstract

The rare decay ${\bar{B}}_d^0\to J/\psi \varphi$ can proceed in four distinct mechanisms: (i) production of the $\varphi$ via tri-gluon fusion, (ii) photoproduction of the $J/\psi$ or $\varphi$, (iii) final-state rescattering of $D_s^{(\ast )}{D}_s^{(\ast )}$ produced in the ${\bar{B}}_d$ decay to $J/\psi \varphi$, and (iv) production of the $\varphi$ via $\omega -\varphi$ mixing. In this work, we examine the contributions from photoproduction and final-state rescattering to ${\bar{B}}_d^0\to J/\psi \varphi$ and find that the corresponding branching ratios are of order $10^{-11}$ and $10^{-9}$, respectively. Hence, this decay is dominated by the $\omega -\varphi$ mixing effect.

Comments: 8 pages, 3 figures, some typos are corrected, version for publish in PLB