Understanding B -->J/Ψϕin the Standard Model

Abstract

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

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