Quasi-two-body decays 
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Li, Ya; Xiao, Z. J.; Wang, Wen-Fei; Ma, Ai-Jun; Rui, Zhou

doi:10.1103/physrevd.98.056019

Cited by 33 publications

(37 citation statements)

References 98 publications

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“…Due to the limited studies on the decay constants of K Ã ð1410Þ and K Ã ð1680Þ, we use the two decay constants of K Ã ð892Þ to determine the ratio F ⊥ P ðω 2 Þ=F k P ðω 2 Þ. The D-wave kaon-pion DAs are introduced analogously to the two-pion ones [45],…”

Section: Frameworkmentioning

confidence: 99%

“…where the Legendre polynomial P 2 ð2ζ − 1Þ ¼ 1-6ζð1 − ζÞ and the Gegenbauer moment a 0 1 ¼ 0.4 AE 0.1 [45]. The time-like form factor F k D ðω 2 Þ for the D-wave Kπ resonance is also described by the relativistic BW function as given in Eq.…”

Section: Frameworkmentioning

confidence: 99%

“…Based on the PQCD approach, the quasi-two-body B meson decays have been studied in Refs. [41][42][43][44][45][46][47][48][49][50][51][52] by introducing the two-meson distribution amplitudes (DAs) [53][54][55][56][57][58][59], which catch the dynamics associated with the pair of mesons.…”

Section: Introductionmentioning

confidence: 99%

“…From Refs. [41,43,45], we know that the width of the resonant state and the interactions between the final-state meson pair will show their effects on the branching ratios, especially on the direct CP violations of the quasi-two-body decays. Thus, it seems more appropriate to treat the K Ã0 as an intermediate resonance.…”

Section: Introductionmentioning

confidence: 99%

“…The D-wave resonance K Ã 2 ð1430Þ 0 is investigated for the first time in our work. Due to the limited studies on the tensor resonant states, we treat the D-wave DAs of the K Ã 2 ð1430Þ 0 in the same way as those of f 2 ð1270Þ [45].…”

Section: Introductionmentioning

confidence: 99%

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S , P and D -wave resonance contributions to B(s

Yan

Rui

et al. 2020

Phys. Rev. D

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In this work, we analyze the three-body B ðsÞ → η c ð1S; 2SÞKπ decays within the framework of the perturbative QCD approach (PQCD) under the quasi-two-body approximation, where the kaon-pion invariant mass spectra are dominated by the K Ã 0 ð1430Þ 0 , K Ã 0 ð1950Þ 0 , K Ã ð892Þ 0 , K Ã ð1410Þ 0 , K Ã ð1680Þ 0 , and K Ã 2 ð1430Þ 0 resonances. The time-like form factors are adopted to parametrize the corresponding S, P, D-wave kaon-pion distribution amplitudes for the concerned decay modes, which describe the final-state interactions between the kaon and pion in the resonant region. The Kπ S-wave component at low Kπ mass is described by the LASS line shape, while the time-like form factors of other resonances are modeled by the relativistic Breit-Wigner function. We find the following main points: (a) the PQCD predictions of the branching ratios for most considered B → η c ð1SÞðK Ã0 →ÞK þ π − decays agree well with the currently available data within errors; (b) for BðB 0 → η c ðK Ã 0 ð1430Þ →ÞK þ π − Þ and BðB 0 → η c K þ π − ðNRÞÞ (where NR means nonresonant), our predictions of the branching ratios are a bit smaller than the measured ones; and (c) the PQCD results for the D-wave contributions considered in this work can be tested once precise data from the future LHCb and Belle-II experiments become available.

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Section: Frameworkmentioning

confidence: 99%

Section: Frameworkmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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S , P and D -wave resonance contributions to B(s

Yan

Rui

et al. 2020

Phys. Rev. D

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Study of the B _s → ϕf ₀(980) → ϕ π ⁺ π ⁻ decay with perturbative QCD approach

Wang

Chang

Yang

et al. 2019

J. Phys. G: Nucl. Part. Phys.

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The rare cascade B s → φf 0 (980) → φ π + π − decay is studied with the perturbative QCD approach based on the formula for the quasi two-body decay, where the two-pion pair originates from the S-wave resonant f 0 (980) state. It is found that with the introduction of the nonperturbative two-pion distribution amplitudes and the Flatté parameterization of the scalar form factor for the f 0 (980) resonance, the branching ratio in the mass range 400 MeV < m(π + π − )where the uncertainties come from the parameter a ππ of the two-pion distribution amplitudes, the b quark mass m b , the Cabibbo-Kobayashi-Maskawa (CKM) factors, respectively. This result agrees with the recent LHCb measurement within uncertainties, B exp (B 0 s → φ f 0 (980) → φ π + π − ) = (1.12±0.16 +0.09 −0.08 ±0.11)×10 −6 , where the errors are statistical, systematic and from the normalization, respectively. * three-body hadronic decays, the kinematical configurations will vary from region to region in the Dalitz plot, and in principle correspond to different dynamical components and theoretical treatments with special scales. The resonant contributions are entirely engulfed by the blurry background clouds, so any phenomenological parametrization and interpretations of the resonant structures are process-and model-dependent. The effective separations between the perturbative and nonperturbative contributions to the three-body nonleptonic B decays will be much more complicated, which is by no means trivial. However at the same time, the phase space distributions make the theoretical calculation of three-body nonleptonic B meson decays to be very meaningful for exploring some fresh and potentially important information, such as the natures and effects of possible resonances, the energy dependence of observables, the local CP asymmetry distributions in the Dalitz plot, and so on. In the past years, there were plenty of theoretical studies of the three-body nonleptonic B meson decays, such as Refs.[20-39] based on SU(3) relations, Refs.[40-55] based on both heavy quark effective theory and chiral perturbation theory, Refs.[56-71] with factorization approach, Refs.[72-87] with the QCDF approach, Refs.[88-103] with the PQCD approach.Both the PQCD and QCDF approaches have been widely employed in the two-body nonleptonic B meson decays in recent years. In Ref.[88], Chen and Li attempted to generalize the PQCD approach to the three-body nonleptonic B + → K + π + π − decay for the particular configuration topologies where the kinematics is very similar to a two-body decay. In this paper, we shall follow the method of Ref.[88] to investigate the B 0 s → φf 0 (980) → φ π + π − decay with the PQCD approach. The overall layout of this paper is as follows. The theoretical framework and the amplitudes for the B 0 s → φf 0 (980) → φ π + π − decay are elaborated in section II. The numerical results and discussion are presented in Section III. The last section is a short summary. II. THEORETICAL FRAMEWORK A. The effective HamiltonianThe nonleptonic weak decays of the ...

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P-wave contributions to B_(s)→ψKπ decays in perturbative QCD approach *

Rui

Xiao

2020

Chinese Phys. C

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We study the quasi-two-body decays by employing the perturbative QCD (PQCD) factorization approach, where the charmonia represents and . The corresponding decay channels are studied by constructing the kaon-pion distribution amplitude (DA) , which comprises important final state interactions between the kaon and pion in the resonant region. Relativistic Breit-Wigner formulas are adopted to parameterize the time-like form factor appearing in the kaon-pion DAs. The SU(3) flavor symmetry breaking effect resulting from the mass difference between the kaon and pion is taken into account, which makes significant contributions to the longitudinal polarizations. The observed branching ratios and the polarization fractions of are accommodated by tuning hadronic parameters for the kaon-pion DAs. The PQCD predictions for modes from the same set of parameters can be tested by precise data obtained in the future from LHCb and Belle II experiments.

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Quasi-two-body decays B(s)→Pf2(1270)<

Cited by 33 publications

References 98 publications

S , P and D -wave resonance contributions to B(s

S , P and D -wave resonance contributions to B(s

Study of the B _s → ϕf ₀(980) → ϕ π ⁺ π ⁻ decay with perturbative QCD approach

P-wave contributions to B_(s)→ψKπ decays in perturbative QCD approach *

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Quasi-two-body decays B(s)→Pf2(1270)<

Cited by 33 publications

References 98 publications

S , P and D -wave resonance contributions to B(s

S , P and D -wave resonance contributions to B(s

Study of the B s → ϕf 0(980) → ϕ π + π − decay with perturbative QCD approach

P-wave contributions to B(s)→ψKπ decays in perturbative QCD approach *

Contact Info

Product

Resources

About

Study of the B _s → ϕf ₀(980) → ϕ π ⁺ π ⁻ decay with perturbative QCD approach

P-wave contributions to B_(s)→ψKπ decays in perturbative QCD approach *