Branching fractions and CP asymmetries of the quasi-two-body decays in $$B_{s} \rightarrow K^0({\overline{K}}^0)K^\pm \pi ^\mp $$ within PQCD approach

Abstract

Motivated by the first untagged decay-timeintegrated amplitude analysis of B s → K S K ∓ π ± 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 B s → K 0 (K 0)K ± π ∓ , and calculate the branching fractions and the time-dependent C P 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 K π pair wave function, describing the interaction between the kaon and pion in the K π 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 C P could be measured. We then calculate six C P-violation observables, which can be tested in the ongoing LHCb experiment.

Four-body decays B(s) → (Kπ)S/P(Kπ)S/P in the perturbative QCD approach

“…fully applied to numerous hadronic three-body B meson decays in the perturbative QCD (PQCD) [50][51][52][53][54][55][56][57][58][59][60][61][62][63] and QCD factorization (QCDF) approaches [64][65][66][67][68][69][70][71][72].…”

Study of $B_{(s)}^0 \to ϕϕ\to (K^+K^-)(K^+K^-)$ decays in the perturbative QCD approach

“…Four-body decays are still mostly unexplored from the theoretical point of view since the factorization formalism that describes a multi-body decay in full phase space is not yet available at present. Recent studies on three-body hadronic decays of B mesons based on the symmetry principles [36][37][38][39][40][41], the QCDF [42][43][44][45][46][47][48][49][50][51][52] and the PQCD approaches [53][54][55][56][57][58][59][60][61][62][63][64][65][66][67][68][69] look promising. It has been proposed that the factorization theorem of three-body B decays is approximately valid when two particles move collinearly and the bachelor particle recoils back [70,71].…”

Resonant contributions to three-body B(s)→[D(*),Li1, Yan2, Rui3 et al. 2020Phys. Rev. D100110View full textAdd to dashboardCite

“…In recent years, based on the PQCD approach, more and more detailed analysis on the three-body B meson hadronic decays have been performed in the low energy resonances on ππ, KK, Kπ, and πη channels [50][51][52][53][54][55][56][57][58][59][60][61][62][63][64][65][66][67][68]. Other theoretical approaches for describing the three-body hadronic decays of B mesons based on the symmetry principles and factorization theorems have been developed.…”

“…→D Ã0 ðf 2 ð1270Þ →ÞK þ K − Bð10 −5 Þ3.67 þ1.21þ1.42þ0 66. GeV or ω B s ¼ 0.50 AE 0.05 GeV and C D ¼ 0.5 AE 0.1, and the decay constant f B ðsÞ in a B ðsÞ meson wave function.…”