Contributions of $$ {K}_0^{\ast } $$(1430) and $$ {K}_0^{\ast } $$(1950) in the three-body decays B → Kπh

Wang, Wen-Fei; Chai, J.; Ma, Ai-Jun

doi:10.1007/jhep03(2020)162

Cited by 26 publications

(20 citation statements)

References 157 publications

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“…For B 1 and B 3 , unlike in the Refs. [78] where the authors have adopt the same values as ones of the K * 0 (1430) and large uncertainties were taken, we here determined these values to be B 1 = −0.4 and B 3 = −0.8 within the current experimental data [29], with which we then predict the six C P-violation observables later. F S (ω) is the time-like form factor, and in particular it is often parameterized by the relativistic Breit-Wigner (RBW) model.…”

Section: Framework and Amplitudesmentioning

confidence: 75%

“…In Ref. [78], the authors studied the contributions of S-wave K π resonant in the three-body decays B/B 0 s → K K π , where the Gegenbauer moments they used are same as ones of DAs of K * 0 (1430) [127]. In fact, the Gegenbauer moments B 1 and B 3 for the two-meson DAs need not to be identical to that for K * 0 (1430), because they are different nonperturbative quantities describing different objects.…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

“…Now, although the exact form of the wave function based on QCD-inspired approach is absent, there are many phenomenological attempts based on the experimental measurements, and the involved parameters can be constrained. In this work, we will also adopt the analytic forms that have been constrained from B → K ππ [59], B → K K π [78]and B → ψ K π [73]. In the current work, we will follow the analysis of LHCb [29], and account for the S-wave, P-wave and D-wave resonances corresponding to K * 0 (1430), K * (892) and K * 2 (1430), respectively.…”

Section: Framework and Amplitudesmentioning

confidence: 99%

See 2 more Smart Citations

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

Liu

2020

Eur. Phys. J. C

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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.

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Section: Framework and Amplitudesmentioning

confidence: 75%

Section: Numerical Results and Discussionmentioning

confidence: 99%

Section: Framework and Amplitudesmentioning

confidence: 99%

See 1 more Smart Citation

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

Liu

2020

Eur. Phys. J. C

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“…Gegenbauer moments B 1 = −0.57 ± 0.13 and B 3 = −0.42 ± 0.22 at the 1 GeV scale from scenario I in the QCD sum rule analysis [96,97], which have been widely employed in the PQCD studies of the B → K * 0 (1430) transitions [98][99][100]. Another possible choice of the Gegenbauer moments as those for the κ(800) meson DA does not work well for accommodating experimental data.…”

Section: Jhep05(2021)082mentioning

confidence: 99%

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

Rui

2021

J. High Energ. Phys.

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We investigate the four-body decays B(s) → (Kπ)S/P(Kπ)S/P in the Kπ-pair invariant mass region around the K*(892) resonance in the perturbative QCD (PQCD) approach, where (Kπ)S/P denotes a S- or P-wave Kπ configuration. The contributions from the P-wave resonance K*(892) and from possible S-wave components are included into the parametrization of the Kπ two-meson distribution amplitudes, which are the non-perturbative inputs in this formalism. We calculate the branching ratio for each resonance and observe sizable S-wave contributions to the Bs modes, well consistent with recently available LHCb data. We also deduce the polarization fractions for the $$ {K}^{\ast }{\overline{K}}^{\ast } $$ K ∗ K ¯ ∗ final states, and compare our predictions to those in previous PQCD analyses of the corresponding two-body B → $$ {K}^{\ast }{\overline{K}}^{\ast } $$ K ∗ K ¯ ∗ decays. The polarization puzzle associated with the two U-spin related channels B0 → $$ {K}^{\ast 0}{\overline{K}}^{\ast 0} $$ K ∗ 0 K ¯ ∗ 0 and $$ {B}_s^0\to {K}^{\ast 0}{\overline{K}}^{\ast 0} $$ B s 0 → K ∗ 0 K ¯ ∗ 0 still exists. In addition to direct CP asymmetries, triple-product asymmetries and S-wave induced direct CP asymmetries originating from the interference among various helicity amplitudes, are presented. It is shown that true triple-product asymmetries are rather small, while direct CP asymmetries and S-wave-induced direct CP asymmetries are significant in some decays. Our results will be subject to stringent tests with precise data from B factories in the near future.

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“…This proposal provides a theoretical framework for studies of resonant contributions based on the quasi-two-bodydecay mechanism. Several theoretical approaches have been developed for describing the three-body hadronic decays of B mesons based on the symmetry principles [71][72][73][74][75][76], the QCDF [77][78][79][80][81][82][83][84][85][86][87] and the PQCD approaches [88][89][90][91][92][93][94][95][96][97][98][99][100][101][102]. Recently, the localized C P violation and branching fraction of the four-body decayB 0 → K − π + π + π − have been calculated by employing a quasi-two-body QCDF approach in Refs.…”

Section: Introductionmentioning

confidence: 99%

Study of $$B_{(s)} \rightarrow (\pi \pi )(K\pi )$$ decays in the perturbative QCD approach

Yan

Rui

et al. 2021

Eur. Phys. J. C

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In this work, we provide estimates of the branching ratios, direct CP asymmetries and triple product asymmetries in $$B_{(s)} \rightarrow (\pi \pi )(K\pi )$$ B ( s ) → ( π π ) ( K π ) decays in the perturbative QCD approach, where the $$\pi \pi $$ π π and $$K\pi $$ K π invariant mass spectra are dominated by the vector resonances $$\rho (770)$$ ρ ( 770 ) and $$K^*(892)$$ K ∗ ( 892 ) , respectively. Some scalar backgrounds, such as $$f_0(500,980) \rightarrow \pi \pi $$ f 0 ( 500 , 980 ) → π π and $$K^*_0(1430) \rightarrow K\pi $$ K 0 ∗ ( 1430 ) → K π are also accounted for. The $$\rho (700)$$ ρ ( 700 ) is parametrized by the Gounaris-Sakurai function. The relativistic Breit-Wigner formula for the $$f_0(500)$$ f 0 ( 500 ) and Flatté model for the $$f_0(980)$$ f 0 ( 980 ) are adopted to parameterize the time-like scalar form factors $$F_S(\omega ^2)$$ F S ( ω 2 ) . We also use the D.V. Bugg model to parameterize the $$f_0(500)$$ f 0 ( 500 ) and compare the relevant theoretical predictions from different models. While in the region of $$K\pi $$ K π invariant mass, the $$K^*_0(1430)$$ K 0 ∗ ( 1430 ) is described with the LASS lineshape and the $$K^*(892)$$ K ∗ ( 892 ) is modeled by the Breit-Wigner function. We find that the decay rates for the considered decay modes agree with currently available data within errors. As a by-product, we extract the branching ratios of two-body decays $$B_{(s)} \rightarrow \rho (770)K^*(892)$$ B ( s ) → ρ ( 770 ) K ∗ ( 892 ) from the corresponding four-body decay modes and calculate the relevant polarization fractions. Our prediction of longitudinal polarization fraction for $$B^0\rightarrow \rho (770)^0 K^*(892)^0$$ B 0 → ρ ( 770 ) 0 K ∗ ( 892 ) 0 decay deviates a lot from the recent LHCb measurement, which should be resolved. It is shown that the direct CP asymmetries are large due to the sizable interference between the tree and penguin contributions, but they are small for the tree-dominant or penguin-dominant processes. The PQCD predictions for the “true” triple product asymmetries are small which are expected in the standard model, and consistent with the current data reported by the LHCb Collaboration. Our results can be tested by the future precise data from the LHCb and Belle II experiments.

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Contributions of $$ {K}_0^{\ast } $$(1430) and $$ {K}_0^{\ast } $$(1950) in the three-body decays B → Kπh

Cited by 26 publications

References 157 publications

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

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

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

Study of $$B_{(s)} \rightarrow (\pi \pi )(K\pi )$$ decays in the perturbative QCD approach

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