S-wave contributions to 
					
	    
	    
	   in the perturbative QCD framework *

Xing, Ye; Xing, Z.

doi:10.1088/1674-1137/43/7/073103

“…Equations(3.21) and(3.22) explicitly reflect that the ππ distribution of the S-wavedominated decay B s → f 0 (980)(→ π + π − )µ + µ − is determined by the distribution of the ππ scalar form factor.All these scalar form factors are also required in the study of three-body B decays, which have been studied using dispersively reconstructed form factors or phenomenological parametrizations, see for instance refs [16,21,[112][113][114][115][116][117]. and many references therein.…”

mentioning

confidence: 99%

Two-meson form factors in unitarized chiral perturbation theory

Shi

¹

,

Seng

²

,

Guo

³

et al. 2021

J. High Energ. Phys.

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We present a comprehensive analysis of form factors for two light pseudoscalar mesons induced by scalar, vector, and tensor quark operators. The theoretical framework is based on a combination of unitarized chiral perturbation theory and dispersion relations. The low-energy constants in chiral perturbation theory are fixed by a global fit to the available data of the two-meson scattering phase shifts. Each form factor derived from unitarized chiral perturbation theory is improved by iteratively applying a dispersion relation. This study updates the existing results in the literature and explores those that have not been systematically studied previously, in particular the two-meson tensor form factors within unitarized chiral perturbation theory. We also discuss the applications of these form factors as mandatory inputs for low-energy phenomena, such as the semi-leptonic decays Bs→ π+π−ℓ+ℓ− and the τ lepton decay τ → π−π0ντ, in searches for physics beyond the Standard Model.

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“…fully applied to numerous hadronic three-body B meson decays in the perturbative QCD (PQCD) [50][51][52][53][54][55][56][57][58][59][60][61][62][63] and QCD factorization (QCDF) approaches [64][65][66][67][68][69][70][71][72].…”

Section: Jhep05(2021)082mentioning

confidence: 99%

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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“…In the past years, the resonance contributions from various intermediate states for the three-body decays B → Dh 1 h 2 (h 1,2 represents pion or kaon) have been studied within the PQCD approach [24,25,[69][70][71][72][73][74][75][76][77]. In the recent work, we studied the virtual contributions for kaon pair from the tail of ρ(770) in the three-body decays B → DK K [78].…”

Section: Introductionmentioning

confidence: 99%

Resonances $ρ(1450)^+$ and $ρ(1700)^+$ in $B \to D KK$ decays

Ma,

Wang

2022

Preprint

0

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The contributions for kaon pair from the intermediate states ρ(1450) + and ρ(1700) + in the decays ofare analyzed within the perturbative QCD factorization approach. The decay amplitudes for all concerned decays in this work are dominated by the factorizable Feynman diagrams with the emission of the kaon pair, and the charged ρ mesons should be of great importance in the KK channel of the related three-body B decays. Besides, these quasi-two-body decays are CKM-favored and the relevant branching ratios are predicted in the order of 10 −5 , which are potential to be measured by experiments. It is also shown that the contributions of the subprocesses ρ(1450, 1700) + → KK for the three-body B meson decays are considerable according to the total three-body branching fractions presented by Belle. Therefore, the decays B + → D0 K + K0 , B 0 → D − K + K0 and B 0 s → D − s K + K0 can be employed to study the properties of ρ(1450) and ρ(1700) in the LHCb and Belle-II experiments.

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S-wave contributions to in the perturbative QCD framework *

Abstract: is induced by the / transitions, which can interfere if a CP-eigenstate is formed. The interference contribution is sensitive to the CKM angle . In this work, we study the S-wave … Show more

Cited by 28 publications

References 65 publications

Two-meson form factors in unitarized chiral perturbation theory

Two-meson form factors in unitarized chiral perturbation theory

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

Resonances $ρ(1450)^+$ and $ρ(1700)^+$ in $B \to D KK$ decays

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