Form Factors and Decay of ${\bar{B}}_s^0\to J/\psi \varphi$ From QCD Sum Rule

Abstract

We calculate ${\bar{B}}_s^0\to \varphi$ translation form factors $V$, $A_0$, $A_1$, $A_2$ based on QCD sum rule and study the nonleptonic two-body decay of ${\bar{B}}_s^0\to J/\psi \varphi$ with the form factors obtained. We calculate the time-integrated branching ratio of ${\bar{B}}_s^0\to J/\psi \varphi$ decay. The results for both the total branching ratio and the cases for the final vectors in longitudinal and transverse polarizations are consistent with experimental data.

Comments: 32 pages, 8 figures, more content added