Reinvestigating the 
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 decays by including the contributions from 
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Yang, Yueling; Lang, Lan; Zhao, X.; Huang, Jinshu; Sun, J. F.

doi:10.1103/physrevd.103.056006

“…(2.13) is considered, while other powersuppressed pieces are negligible within the accuracy of the current work [87,92]. It has been shown explicitly in the PQCD approach that the next-to-leading-power B meson DA contributes about 17% of the B → π transition form factors at large recoil [93], consistent with the naive estimate for the power suppression effectΛ/m b ≡ (M B − m b )/m b ∼ 10%, m b being the b quark mass. We will include the power-suppressed B meson DAs, together with other subleading contributions [94,95], for a complete analysis of four-body B meson decays in the future, when aiming at precision better than 10%.…”

Section: Jhep05(2021)082mentioning

confidence: 81%

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

Rui

¹

,

Li

²

,

Li

³

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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“…As far as we know, the implications of hadronic WFs on the transition form factors have been carefully studied with the PQCD approach in Refs. [40][41][42][43][44][45], where HMEs for the transition form factors are written as the convolution integral of the scattering amplitudes and WFs of the initial and final mesons, and the lowest order approximation of scattering amplitudes is illustrated with the one-gluon-exchange diagrams in Fig. 2.…”

Section: Form Factorsmentioning

confidence: 99%

“…both twist-2 and twist-3 DAs φ a,p,t P and φ v,t,s V are considered, the shares of formfactors F 1 and A 0 from the B mesonic WFs φ B2 are about 20%. The contributions from φ B2 to form factors have been investigated in previous studies [40][41][42][43][44][45]. There seems to be a general consensus that the contributions from φ B2 to form factors should be given the due attention that is unnegligible.…”

Section: Form Factorsmentioning

confidence: 99%

“…In our recent work [41], the B → P P decays are systemically restudied with the PQCD approach by considering the contributions from the B mesonic subleading twist WFs and the updated DAs of the final pseudoscalar mesons. It is found that the shares from the B mesonic WFs φ B2 , which are usually paid less attention in the previous calculations, have certain influences over HMEs and branching ratios, and are comparable with those from the NLO corrections.…”

Section: Introductionmentioning

confidence: 99%

“…There are many studies on the nonleptonic B decays with the PQCD approach showing that the theoretical uncertainties mainly come from the parameters of WFs or DAs, for example, in Refs. [40][41][42][43][44][45][46][47][48][49][50][51][52][53], and that the actual contributions from the higher twist (for example, twist-3) DAs to the hadronic transition form factors are as important as those from the leading twist (twist-2) DAs [42][43][44][45] and those from the next-to-leading order (NLO) QCD radiative corrections to scattering amplitudes [41]. It has already been recognized from the numerical point of view that the effects from the higher twist hadronic DAs are considerably large rather than formally power suppressed.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Reinvestigating the $B$ ${\to}$ $PV$ decays by including the contributions from $ϕ_{B2}$ with the perturbative QCD approach

Yang,

Zhao,

Lang

et al. 2022

Preprint

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0

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Considering the B mesonic wave function φ B2 , the B → P V decays are restudied at the leading order for three scenarios by using the perturbative QCD approach within the standard model, where P = π and K, and V denotes the ground SU (3) vector mesons. It is found that the contributions of φ B2 can enhance most of branching ratios, and are helpful to improve the overall consistency of branching ratios between the updated calculations and the available data, although there are still some discrepancies between the experimental and theoretical results.

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