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

Rui, Zhou; Li, Ya; Li, Hsiang-nan

doi:10.1007/jhep05(2021)082

Cited by 21 publications

(3 citation statements)

References 123 publications

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“…The six helicity amplitudes are involved in four body decay of B meson and the relation between total amplitude and other components can be found in Refs [47,48,55]. Then branching ratio from Eq.…”

Section: The Decay Amplitudesmentioning

confidence: 99%

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Study of the four-body decays $B^{0}_{S} \rightarrow ππππ$ in the perturbative QCD approach

Liang,

2022

Preprint

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In this work, we analyse the CP-averaged branching ratios and direct CP-violating asymmetries of the fourbody decays B 0 S → ππππ decay from the S-wave resonances, f0(980) and f0(500) and P-wave resonances, ρ(770) by introducing the S-wave and P-wave ππ distribution amplitudes within the framework of the perturbative QCD approach. We also calculate branching ratios of the two-body decays B 0 S → ρ 0 ρ 0 , B 0 S → ρ + ρ − from the corresponding quasi-two-body decays models and compare our our results with those obtained in previous perturbative QCD approach, QCD factorization approach and FAT approach, it is found that the predictions are consistent with present dates within errors. The branching ratios of our calculations for the four-body decays B 0 S → ππππ are at the order of the 10 −8 . For the CP-violating asymmetries, we found that CP-violating asymmetry can be enhanced largely by the ρ − ω mixing resonances when ππ pairs masses are in the vicinity of ω resonance.

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Section: The Decay Amplitudesmentioning

confidence: 99%

“…However, the part above the 1/b energy scale depends on differential decay channels, and the Feynman diagram numerical calculation is carried out by using the perturbation theory. For the four-body decay B 0 S → N 1 N 2 → ππππ, the amplitude can be written as [47,48].…”

Section: Introductionmentioning

confidence: 99%

Study of the four-body decays $B^{0}_{S} \rightarrow ππππ$ in the perturbative QCD approach

Liang,

2022

Preprint

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“…[74,75]. In our previous works [76][77][78], the PQCD factorization formalism based on the quasi-two-bodydecay mechanism for four-body B meson decays have been well established. Within the framework of PQCD approach, the branching ratios and direct CP asymmetries of four-body decays B 0 (s) → ππππ have also been studied [79].…”

Section: Introductionmentioning

confidence: 99%

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

Yan,

Rui,

Xiao

et al. 2022

Preprint

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In this work, we make a detailed analysis on the penguin-dominant processes B 0 (s) → φφ → (K + K − )(K + K − ) in the perturbative QCD (PQCD) approach. In addition to the dominant P -wave resonance, the scalar background f0(980) → K + K − is also accounted for. We improve the Gegenbauer moments in KK two-meson distribution amplitudes by fitting the PQCD factorization formulas to measured branching ratios of three-body and four-body B decays. We extract the branching ratios of two-body B 0 (s) → φφ decays from the corresponding four-body decay modes and calculate the relevant polarization fractions together with two relative phases φ ,⊥ , which are consistent with the previous theoretical predictions. The PQCD predictions for the "true" triple product asymmetries (TPAs) are zero which are expected in the standard model due to the vanishing weak phase difference, and support the current data reported by the CDF and LHCb Collaborations. A large "fake" TPA A 1 T-fake = 30.4% of the decay B 0 s → φφ → (K + K − )(K + K − ) is predicted for the first time, which indicates the presence of the significant final-state interactions. The TPAs of the rare decay channel B 0 → φφ → (K + K − )(K + K − ) are also predicted and can be tested in the near future.

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The ρ(770, 1450) → ωπ contributions for three-body decays $$ B\to {\overline{D}}^{\left(\ast \right)}\omega \pi $$

Ren,

Ma,

Wang

2024

J. High Energ. Phys.

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The decays $$ B\to {\overline{D}}^{\left(\ast \right)}\omega \pi $$ B → D ¯ ∗ ωπ are very important for the investigation of ρ excitations and the test of factorization hypothesis for B meson decays. The $$ {B}^{+}\to {\overline{D}}^{\left(\ast \right)0}\omega {\pi}^{+} $$ B + → D ¯ ∗ 0 ω π + and B0 → D(*)−ωπ+ have been measured by different collaborations but without any predictions for their observables on theoretical side. In this work, we study the contributions of ρ(770, 1450) → ωπ for the cascade decays $$ {B}^{+}\to {\overline{D}}^{\left(\ast \right)0}{\rho}^{+}\to {\overline{D}}^{\left(\ast \right)0}\omega {\pi}^{+} $$ B + → D ¯ ∗ 0 ρ + → D ¯ ∗ 0 ω π + , B0 → D(*)−ρ+ → D(*)−ωπ+ and $$ {B}_s^0\to {D}_s^{\left(\ast \right)-}{\rho}^{+}\to {D}^{\left(\ast \right)-}\omega {\pi}^{+} $$ B s 0 → D s ∗ − ρ + → D ∗ − ω π + . We introduce ρ(770, 1450) → ωπ subprocesses into the distribution amplitudes for ωπ system via the vector form factor Fωπ(s) and then predict the branching fractions for the first time for concerned quasi-two-body decays with ρ(770, 1450) → ωπ, as well as the corresponding longitudinal polarization fractions ΓL/Γ for the cases with the vector $$ {\overline{D}}^{\ast 0} $$ D ¯ ∗ 0 or $$ {D}_{(s)}^{\ast -} $$ D s ∗ − in their final states. The branching fractions of these quasi-two-body decays are predicted at the order of 10−3, which can be detected at the LHCb and Belle-II experiments. The predictions for the decays B0 → D*−ρ(770)+ → D*−ωπ+ and B0 → D*−ρ(1450)+ → D*−ωπ+ agree well with the measurements from Belle Collaboration. In order to avoid the pollution from annihilation Feynman diagrams, we recommend to take the $$ {B}_s^0\to {D}_s^{\ast -}\rho {\left(770,1450\right)}^{+} $$ B s 0 → D s ∗ − ρ 770 1450 + decays, which have only emission diagrams at quark level, to test the factorization hypothesis for B decays.

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

Cited by 21 publications

References 123 publications

Study of the four-body decays $B^{0}_{S} \rightarrow ππππ$ in the perturbative QCD approach

Study of the four-body decays $B^{0}_{S} \rightarrow ππππ$ in the perturbative QCD approach

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

The ρ(770, 1450) → ωπ contributions for three-body decays $$ B\to {\overline{D}}^{\left(\ast \right)}\omega \pi $$

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