Research On B-meson Three-body Decay

The non-leptonic decay of the B meson is the only type of decay involving the weak interaction of three generations of quarks.The study of the decay of the B meson is of great significance for the accurate test of the standard model.In particular,three-body charmed non-leptonic decay can be used to measure the ? and ? angles of the CKM matrix.We calculated the three-body decay process B(s)to D(s)P1P2,where P1P2 can be pion or kaon.Experimentally,this process is considered to be a quasi-two-body process dominated by an intermediate resonance state.so we can reasonably use the quasi-two-body framework to study this process.The quasi-two-body process is that the B meson first decays to a vector resonance state and a pseudo-scalar meson P2,and then this vector resonance state decays to two pseudo-scalar mesons,D(s)and P1.The research method we use is Factorization-Assisted Topological-Amplitude approach,which combines the advantages of the topological diagram amplitude approach and the factorization approach and avoids the shortcomings of these two approaches.Not only the contribution of all non-perturbation is taken into consideration,but also the effect of the violation of SU(3)flavor symmetry is considered,and the result is more reliable.The decay process B(s)?D(s)*P2?D(s)P1P2 is induced by flavor changing charge current bc,including contributions from three different topological diagrams.We deduced the expressions of decay amplitude and differential width,and obtained the decay branch ratio through numerical calculation through programming,and performed a simple analysis of the data,finally we got the result as follows:For the decay process B(s)to D(s)P1P2,there is a virtual contribution from resonant.This off-shell effect is usually called the Breit-Wigner Tail(BWT)effect.In all quasi-two-body decay channels of B(s)?D??(K),the Breit-Wigner tail effect from D*is about 5%to 6%.The contributions from off-shell D*s in the B(s)?DsK?(K)decaying channels is tiny,more than 1%.The result for the Bs?DK?(K)decaying channels is contributed only from the Breit-Wigner Tail effect of off-shell Ds*.