Global Analysis of hadronic two-body B decays in the perturbative QCD approach

Hua, Jun; Li, Hsiang-nan; Lu, Cai-Dian; Wang, Wei; Xing, Zhi-Peng

doi:10.48550/arxiv.2012.15074

Cited by 6 publications

(12 citation statements)

References 57 publications

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“…with P = π, K and the chiral scale m 03 . The pion and kaon DAs have been determined at the scale 1 GeV in a recent global analysis [26] based on LO PQCD factorization formulas, which is at the same level of accuracy as the present work. The results are quoted as…”

Section: B Distribution Amplitudesmentioning

confidence: 88%

“…Note that the twist-3 DAs φ P K and φ T K , which were not obtained in Ref. [26], come from sum-rule calculations [41]. As stated before, we focus on the P -wave components in Eq.…”

Section: B Distribution Amplitudesmentioning

confidence: 99%

“…The shape parameter takes the values ω B = 0.40 GeV for B + , B 0 mesons and ω Bs = 0.48 GeV [26,33,39,40] for a B 0 s meson with 10% variation in the numerical study below. The light-cone matrix elements for a pseudoscalar meson is decomposed, up to twist 3, into [34,35]…”

Section: B Distribution Amplitudesmentioning

confidence: 99%

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Global determination of two-meson distribution amplitudes from three-body $B$ decays in the perturbative QCD approach

Li,

Yan,

Hua

et al. 2021

Preprint

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We perform a global analysis of three-body charmless hadronic decays B → V P3 → P1P2P3 in the perturbative QCD (PQCD) approach, where V denotes an intermediate vector resonance, and Pi, i = 1, 2, 3, denote final-state pseudoscalar mesons. Fitting the PQCD factorization formulas at leading order in the strong coupling αs to measured branching ratios and direct CP asymmetries, we determine the Gegenbauer moments in two-meson distribution amplitudes (DAs) for the meson pairs P1P2 = ππ, Kπ, KK. The fitted Gegenbauer moments are then employed to make predictions for those obervables, whose data are excluded in the fit due to larger experimental uncertainties. A general consistency between our predictions and data is achieved, which hints the validity of the PQCD formalism for the above three-body B meson decays and the universality of the nonperturbative two-meson DAs. The obtained two-meson DAs can be applied to PQCD studies of other multibody B meson decays involving the same meson pairs. We also attempt to determine the dependence of the Gegenbauer moments on the meson-pair invariant mass, and demonstrate that this determination is promising, when data become more precise.

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Section: B Distribution Amplitudesmentioning

confidence: 88%

“…Note that the twist-3 DAs φ P K and φ T K , which were not obtained in Ref. [26], come from sum-rule calculations [41]. As stated before, we focus on the P -wave components in Eq.…”

Section: B Distribution Amplitudesmentioning

confidence: 99%

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Global determination of two-meson distribution amplitudes from three-body $B$ decays in the perturbative QCD approach

Li,

Yan,

Hua

et al. 2021

Preprint

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“…For the vector mesons φ, ρ 0 , and ω, we also pursue the same strategy and adopt the same wave functions obtained in QCD sum rules [30]. Very recently, the Gegenbauer moments in the wave functions of the light mesons have been fitted to available data of branching fractions and direct CP asymmetries globally [31], and the fitted results are in good agreement with those in [30].…”

Section: Framework and Inputsmentioning

confidence: 94%

Effects from Hadronic Structure of Photon on $B\toϕγ$ and $B_s\to(ρ^0,ω)γ$ Decays

Shen¹,

Li²

2021

Preprint

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Using the perturbative QCD approach, we studied the effects from hadronic structure of photon on B → φγ and B s → (ρ 0 , ω)γ decays, which are called the pure annihilation rediative decays. These decays have small branching fractions due to the power suppression by the Λ/m B , which make them very sensitive to the nextleading power corrections. The quark components and the related two-particle distribution amplitudes of a final state photon are introduced. The branching fractions can be enhanced remarkably by the factorizable and nonfactorizable emission diagrams. The branching fraction of B → φγ even increases by about 40 times, and those of B s → ρ 0 γ and B s → ωγ are at the order of O(10 −10 ). We also note that the ratio of branching fractions of B s → ρ 0 γ and B s → ωγ is very sensitive to the effects from hadronic structure of photon. All above results could be tested in future.

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“…with the shape parameter ω B = 0.40 ± 0.04 GeV for B u,d mesons and ω Bs = 0.48 ± 0.05 GeV for a B s meson [80].…”

Section: Kinematics and The S-wave Two Meson Distribution Amplitudesmentioning

confidence: 99%

$S$-wave contributions to the $B_{(s)}\rightarrow χ_{c1} (ππ,Kπ,KK)$ decays

Jia,

Zhang,

et al. 2021

Preprint

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We make a detailed study of the three-body decays B (s) → χc1hh ′ , where h ( ′ ) is either a pion or kaon, by taking into account the S-wave states in the hh ′ invariant mass distribution within the perturbative QCD approach. The two meson distribution amplitudes (DAs) are introduced to capture the strong interaction related to the production of the hh ′ system. We calculate the branching ratios for the S-wave components and observe large values of order 10 −4 for some Cabibbofavored decays, which are accessible to the LHCb and Belle II experiments. The obtained branching ratio B(B → χc1K * 0 (1430)(→ K + π − )) = (5.1 +0.6 −0.8 ) × 10 −5 consistent with the data from Belle within errors. Moreover, we also predict the differential distributions in the hh ′ invariant mass for the decays under consideration, which await the future experimental test. In addition, the corresponding χc1(2P ) channels are also investigated, which are helpful to clarify the nature of the X(3872) state.

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Global Analysis of hadronic two-body B decays in the perturbative QCD approach

Cited by 6 publications

References 57 publications

Global determination of two-meson distribution amplitudes from three-body $B$ decays in the perturbative QCD approach

Global determination of two-meson distribution amplitudes from three-body $B$ decays in the perturbative QCD approach

Effects from Hadronic Structure of Photon on $B\toϕγ$ and $B_s\to(ρ^0,ω)γ$ Decays

$S$-wave contributions to the $B_{(s)}\rightarrow χ_{c1} (ππ,Kπ,KK)$ decays

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