Study Of The CP Violation For Bs→π~+π~-P Decay Process In PQCD Approach

The scientists have been advancing their research into the study of the CP violation since people have long maintained a strong physical interest in the inner mysteries of matter.The particle physics,which also known as the high-energy physics provides a good way to detect the fundamental structure and interactions of the material world since it investigates matter at a higher energy scale and at a smaller spatial and temporal scale.Within the range of the particle physics research,the B meson physics can also be regarded as the heavy-flavor physics.And the study of its decay properties is an important topic in particle physics.The reason is that the approximation result under the perturbation of B meson is great since it contains a b quark whose mass is heavy.Until now,the efforts of the scientists have led to promising achievements in both its theoretical predictions and experimental measurements.At present,the study of CP violation for the two-body decay process of B mesons has matured and a relatively sound theoretical framework and research methods have been well established.Hence,the study of the B meson is gradually moving towards to the multi-body decay process including the study of the CP violation and the decay branching ratios.These data can provide good theoretical predictions and guide experimental measurements in the future.In addition,the study of the rare decay channel of B meson will also help us to measure the Standard Model and discover new physical signals.At the same time,the B meson factories in the US and Japan are providing a large amount of new experimental data on the CP violation of the B meson.Therefore,in order to achieve a perfect combination of theory and experiment to better investigate the CP violation of B meson,it is necessary for us to continuously discover new physical mechanisms affecting CP violation.In this paper,we mainly consider the three-particle-mixing ofρ⁰（770）,ω（782）andφ（1020）when we study the localized CP violation for the three-body decay process of Bˉ_s⁰→π⁺π^-π⁰（K⁰）.The kinematic mechanism of the three-body decay process is first described in detail.Then we analyze the main decay processes under the mechanism of the three-particle mixing and we calculate the corresponding decay amplitudes and obtain the CP violation.The mechanism of the three-particle mixing is one of the innovations of this work.We know that bothandcan decay into^+-pair and the contribution of the isospin symmetry breaking in this process is very small.However,we can find that the obvious CP violation can occur in the three-body decay process ofˉ⁰→^+-0（⁰）,which even reach65%（36%）.The reason is that the three-particle mixing can produces the new strong phase which can affect the CP violation of the decay process.To have a better comparison with the experiment,we integrate the CP violation within the range of the invariant mass and obtain the localized CP violation which is also the innovation of this paper.In this way,we can find the CP violation in the specific range and we find there is large CP violation in the Bˉ_s⁰→π⁺π^-π⁰（K⁰）decay process when the invariant mass is under themeosn.