Abstract
Motivated by the first untagged decay-time-integrated amplitude analysis of B_s rightarrow K_SK^{mp }pi ^{pm } decays performed by LHCb collaboration, where the decay amplitudes are modeled to contain the resonant contributions from intermediate resonances K^*(892), K_0^*(1430) and K_2^*(1430), we comprehensively investigate the quasi-two-body decays in the three-body processes , and calculate the branching fractions and the time-dependent CP asymmetries within the perturbative QCD approach based on the k_T factorization. In the quasi-two-body space region the calculated branching fractions with the considered intermediate resonances are in good agreement with the experimental results of LHCb by adopting proper Kpi pair wave function, describing the interaction between the kaon and pion in the Kpi pair. Furthermore, within the obtained branching fractions of the quasi-two-body decays, we also calculate the branching fractions of the corresponding two-body decays, and the results consist with the LHCb measurements and the earlier studies within errors. For these considered decays, since the final states are not flavour-specific, the time-dependent CP could be measured. We then calculate six CP-violation observables, which can be tested in the ongoing LHCb experiment.
Highlights
It is well known to us that B meson decays play crucial roles in testing the standard model (SM), understanding the chromodynamics and searching for the possible new physics beyond SM [1,2,3]
The abundant measurements and phenomenology in three-body decays attract considerable theoretical interests in understanding three-body hadronic B meson decays, as a result, studies of various three-body hadronic B decays have been accomplished in different frameworks, such as the symmetry principles [40,41,42,43,44], the QCD factorization (QCDF) [45,46,47,48,49,50,51,52], the perturbative QCD (PQCD) approach [53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80], and other theoretical methods [81,82,83,84,85]
In the decays of B mesons, the decay modes induced by the flavor-changing neutral-current b → s are of interest to search for the new source of CP asymmetry beyond the Cabibbo–Kobayashi–Maskawa (CKM) mechanism and to probe the new physics beyond SM, because the new particles could affect the observables by entering the loops
Summary
It is well known to us that B meson decays play crucial roles in testing the standard model (SM), understanding the chromodynamics and searching for the possible new physics beyond SM [1,2,3]. In the decays of B mesons, the decay modes induced by the flavor-changing neutral-current b → s are of interest to search for the new source of CP asymmetry beyond the Cabibbo–Kobayashi–Maskawa (CKM) mechanism and to probe the new physics beyond SM, because the new particles could affect the observables by entering the loops Along this line, the analysis of Bs → KS K ±π ∓ decays have been preformed by LHCb collaboration [34,35,36,37], and the corresponding quasi-two-body decays with respect to the resonances. [29], the LHCb collaboration released the first untagged decay-time-integrated amplitude analysis to these Bs → KS K ±π ∓ decays with the K ∗(892), K0∗(1430) and K2∗(1430) intermediate resonances using a sample corresponding to 3.0 fb−1 of pp collision data, and the observed branching ratios of quasi-two-body decays were reported.
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