Study Of B~*→(?)D Decay With Perturbative QCD Approach

B meson physics has been being one of the hot topics in high energy physics during the past few decades. It plays an important role in determining the flavour parameters, testing Standard Model,exploring the mechanism of CP violation and searching for potential new physics. With the running of the B meson factories , Belle and BaBar had collected a large amount of B meson data samples. Based on these B meson events, many B meson rare decays have been investigated. The value of sin（2β） has been measured, and the CP violation in B meson systerm has been well studied. Compared with B mesons, the study on the B* meson decay is few subject to the relatively inadequate statistics. Fortunately, with the running of LHC and forthcoming SuperKEKB, there will be a large amount of B* meson data samples,which provide a good opportunity to study B* mesons decay in the future.The B* and B mesons have the same quark components. At the quark level, the weak decay of B* and B mesons are mainly induced by the b quark decay. So the phenomenological models for the B meson decays can be applied to the study of B meson decays, and parameters extracted from B meson decays could be constrained with the B* meson decays.In this paper, we study the two-body weak decay ofB* mesons with perturbative QCD approach.According to magnitude of the CKM matrix elements, the b quark is apt to decay to the charm quark. So we focus on the B* meson decay into two D mesons. In the calculation, we consider the contributions of tree operators and penguin operators to the emission and annihilation diagrams. It is found that （1） the CKM factors and Wilson coefficients have much influence on the branching ratio; （2） the contributions of the tree operators to the branching ratio dominate over these of the penguin operators; （3） the contributions of emission diagrams to the branching ratio are much larger than those of annihilation diagrams; （4） the contributions of light-quark-pair-production annihilation diagram to the branching ratio is larger than c-quark-pair-production annihilation diagrams; （5） the interference between factorizable annihilation diagrams are constructive, and those between the nonfactorizable annihilation diagrams are destructive; （6）it is found that the B_s^*0→D_s^-D_s⁺、B_d^*0→D_d^-D_s⁺和B_u^*+→（?）_u⁰D_s⁺ decays have relatively large branching ratios, which might be detectable in the future experiments.