B?K*K* Decay Process Sub-header Correction Study

The two-body charmless hadronic decays of B meson are an important topic of the heavy flavor physics. BaBar and Belle Collaboration have collected about 1.7 x 109 sample data, studied several hundreds of B meson decay modes, made great achievements on testing the standard model(SM), discovering the CP violation of B meson system and measuring the three angles of the unitary triangle. When compared with the B?PP, PV decays, the B?VV decays are much less studied and only several such decays have been measured experimentally. As is well-known, for B?VV decay modes, one should consider the three parts:Longitudinal, Transverse and Normal. In this paper we will study the decays of B?K*K* in the framework of the SM by employing the pQCD factorization approach. We consider not only the full contribution of the leading order, but also the all known next leading order ones.In the second chapter we present a brief introduction for the theoretical framework of B meson physics:including the basics of the standard model, the various decay modes and CP violation of B meson systems, as well as the B meson wave functions and the pQCD factorization approach in detail.In the third chapter, we calculate B0?K*0K*0, B0? K*+K*-,B+?K*+K*0 in the leading order (LO) and next leading order (NLO) with vertex corrections, the quark loop correction, magnetic penguin correction and give the decay amplitudes. In chapter four,we calculate the branching ratios and the CP-violating asym-metries of the considered three B?K*K*decays. We also compare our pQCD predictions with those from QCDF approach. In the last chapter, we give a short summary of this thesis and some remarks on future development of B physics.By analytical calculation and numerical analysis we can find the following points:(1) The two neutral decays B0?K*0K*0 and B0?K*+K*- are dominated by the longitudinal contribution, while the charged B decay B+?K*+K*0 is dominat-ed by the transverse one. We found numerically that fL(B0?K*0K*0)= 72.4%, fL(B0?K*+K*-)= 96.2% fT(B+?K*+K*0)= 52.5%.(2) The LO pQCD prediction for branching ratio Br(B0?K*0K*0) and Br(B+? K*+K*0) are in good agreement with the data. For Br(B0?K*+K*-) the agreements are improved slightly after the inclusion of the NLO contributions. For the decays B0? K*0K*0, the NLO contribution leads to a 50% decrease for the branching ratios, but give little influence to(3) The B0?K*+K*- decay is an "annihilation diagrams dominated" decay mode, our pQCD prediction for Br{B0?K*+K*-) and Br(B+?K*+K*0) is different from those known results. For B0?K*0K*0,there is no direct CP violation. The NLO contribution also produce a large enhancement to the CP violation.