Studies On New Method To Parameterize CKM Matrix And B Meson Decays

The Standard Model is a fundamental theory describing the elementary particles such as quarks and leptons, whose great success is confirmed by the experimental data. We studied the new ways to parameterize the CKM matrix, which describes the quark flavor mixing. And we also studied the charged three-body decays of B± meson in terms of quark SU(3) flavor symmetry.In the study of new parametrization of CKM matrix, after introducing nine kinds of equivalent parametrization with three quark flavor mixing angles and one CP phase as the independent parameters, we pointed out that the values of parameters would depend on the parametrization ways. We constructed new methods to parameterize the CKM matrix using three absolute values of CKM matrix elements and one of a, β, or γ angles defined by the unitary property of CKM matrix, which resolved the problem that the values of parametrization will depend on the chosen parametriza-tion. Consequently, we demonstrated that these 12 kinds of new ways of parametriza-tion are equivalent between each other. Then, we showed the way how to develop the Wolfenstein-like expression of these 12 new parametrizaitons.In the study of charged three-body B+ meson decays, under the SU(3) flavor symmetry, we constructed the decay amplitudes systematically for the decay modes:B+ â†' Ï€+Ï€+Ï€-, Ï€+K+K-,K+Ï€+Ï€-,K+K+K-. Meanwhile, we also considered the momentum dependent part of the decay amplitudes resulted from derivatives of independent terms and the flavor symmetry breaking effects resulted from mass differ-ence between different quarks. After carrying out the numerical analysis, we found that it was necessary to take the large flavor symmetry breaking effects into consideration in order to explain the corresponding experimental data well. At last, we extend the analysis from SU(3) flavor symmetry to the decays of B+, Bd0, Bs0 mesons, and found the linear relations between different decay modes in terms of their fully-symmetric decay amplitudes. We also identified the linear relations that still hold when the flavor SU(3) and isospin symmetry breaking effects were taken into account.