Charmless $B\to PP,PV,VV$ Decays Based on the six-quark Effective Hamiltonian with Strong Phase Effects

Abstract

Based on an approximate six-quark operator effective Hamiltonian from perturbative QCD, we present a systematical study of charmless $B\to PP,PV,VV$ decays ($P$ and $V$ denoting pseudoscalar and vector mesons, respectively). The calculation of the relevant hard-scattering kernels is completed, the resulting transition form factors are consistent with the results of QCD sum rule calculation. Important classes of power corrections include "chirally-enhanced" terms, vertex corrections and weak annihilation contributions with non-trivial strong phase. With these considerations, predictions are presented for the branching ratios and CP asymmetries of B-meson decays into PP, PV and VV final states, and also for the corresponding polarization observables in VV final states. Several decay modes and observables, which are of particular interest phenomenologically, are discussed in detail, including the effect of annihilation amplitude with strong phase, the $\pi \pi$, $\pi K$ and $\pi \rho$ systems, the longitudinal polarization fraction $f_L$ in $\rho K^{\ast }$ and $\varphi K^{\ast }$ systems and so on. It is observed that predictions in our framework generally agree with the current experimental data.

arXiv comment44 pages, 4 figures, 19 tables, one table added, comparison with other approaches is explained, published version

References in corpus (86)

• Weak Decays Beyond Leading Logarithms
• An effective field theory for collinear and soft gluons: heavy to light decays
• Soft-Collinear Factorization in Effective Field Theory
• QCD Factorization for $B\to \pi \pi$ Decays: Strong Phases and CP Violation in the Heavy Quark Limit
• CP Violation and the CKM Matrix: Assessing the Impact of the Asymmetric B Factories
• QCD factorization for exclusive, non-leptonic B meson decays: General arguments and the case of heavy-light final states
• QCD factorization for B->PP and B->PV decays
• QCD Factorization in B -> pi K, pi pi Decays and Extraction of Wolfenstein Parameters
• New Results on B->pi, K, eta Decay Formfactors from Light-Cone Sum Rules
• Penguin Enhancement and $B\to K\pi$ decays in perturbative QCD
• Symmetry-breaking corrections to heavy-to-light B meson form factors at large recoil
• B_{d,s}->rho, omega, K*, phi Decay Form Factors from Light-Cone Sum Rules Revisited
• Higher Twist Distribution Amplitudes of Vector Mesons in QCD: Formalism and Twist Three Distributions
• Updated Values of Running Quark and Lepton Masses
• Charmless non-leptonic B_s decays to PP, PV and VV final states in the pQCD approach
• Leading-power contributions to $B\to \pi ,\rho$ transition form factors
• Branching fractions, polarisation and asymmetries of B -> VV decays
• A proof of factorization for B -> D pi
• Flavor Physics in the Quark Sector
• Anatomy of Prominent B and K Decays and Signatures of CP-Violating New Physics in the Electroweak Penguin Sector
• B->V gamma Beyond QCD Factorisation
• Extraction of $V_{ub}$ from the Decay $B\to \pi l\nu$
• B -> pi pi, New Physics in B -> pi K and Implications for Rare K and B Decays
• Polarization in B->VV Decays
• B to light meson transition form factors calculated in perturbative QCD approach
• Resolution to the B -> pi K puzzle
• $B\to \pi \rho$, $\pi \omega$ Decays in Perturbative QCD Approach
• Twist-3 Distribution Amplitudes of K* and phi Mesons
• Two body B decays with isosinglet final states in SCET
• Rates, Polarizations, and Asymmetries in Charmless Vector-Vector B Meson Decays
• QCD Factorization for Charmless Hadronic B_s Decays Revisited
• $B_{(s)},D_{(s)}\to \pi ,K,\eta ,\rho ,K^{\ast },\omega ,\varphi$ Transition Form Factors and Decay Rates with Extraction of the CKM parameters $|V_{ub}|$, $|V_{cs}|$, $|V_{cd}|$
• B, D and K decays
• Measurement of Polarization and Triple-Product Correlations in B -> phi K^* Decays
• Branching Ratios and Polarization in B-> VV,VA,AA Decays
• Revisiting Charmless Hadronic B_{u,d} Decays in QCD Factorization
• Heavy-to-light form factors on the light cone
• Polarizations in B -> VV decays
• Coupling of the light vector meson to the vector and to the tensor current
• The Riddle of Polarization in $B\to VV$ Transitions
• Branching ratio and CP asymmetry of $B_s\to {\pi }^{+}{\pi }^{-}$ decays in the perturbative QCD approach
• SU(3) Breaking in K and K* Distribution Amplitudes
• The systematic study of $B\to \pi$ form factors in pQCD approach and its reliability
• Penguin-dominated B -> PV decays in NLO perturbative QCD
• Phenomenological Analysis of Charmless Decays Bs->PP,PV with QCD Factorization
• Charmless B -> VV Decays in QCD Factorization: Implications of Recent $B\to \varphi K^{\ast }$ Measurement
• Measurement of the B0->PhiK*0 Decay Amplitudes
• Data for Polarization in Charmless B -> phi K^*: A Signal for New Physics?
• Observation of Bs->K+K- and Measurements of Branching Fractions of Charmless Two-body Decays of B0 and Bs Mesons in p-pbar Collisions at sqrt(s)=1.96 TeV
• Charmless Two-body $B(B_s)\to VP$ decays In Soft-Collinear-Effective-Theory
• Polarization States in B -> rho K* and New Physics
• Enhanced electroweak penguin amplitude in B-->VV decays
• Polarizations in decays B_{u,d}\to VV and possible implications for R-parity violating SUSY
• Heavy to Light Meson Exclusive Semileptonic Decays in Effective Field Theory of Heavy Quark
• Implication of the B -> rho rho data on the B -> pi pi puzzle
• Analysis of B-> ϕK Decays in QCD Factorization
• Symmetry Principle Preserving and Infinity Free Regularization and renormalization of quantum field theories and the mass gap
• Scalar interactions and the polarizations of $B\to \varphi K^{\ast }$
• MSSM Anatomy of the Polarization Puzzle in B --> phi K* Decays
• Charmless Hadronic Two-body Decays of the B_s Mesons
• B_s to K^(*)0 \bar K^(*)0 decays: the golden channels for new physics searches
• First Evidence for $B_s^0\to \varphi \varphi$ Decay and Measurements of Branching Ratio and $A_{CP}$ for $B^{+}\to \varphi K^{+}$
• Study of $B\to K^{\ast }\rho ,K^{\ast }\omega$ Decays with Polarization in Perturbative QCD Approach
• Charmless ${\bar{B}}_s\to VV$ Decays in QCD Factorization
• Symmetry-preserving Loop Regularization and Renormalization of QFTs
• Analysis of $B\to K^{\ast }{\ell }^{+}{\ell }^{-}$ decays at large recoil
• Branching Ratio and Polarization of $B\to \rho (\omega )\rho (\omega )$ Decays in Perturbative QCD Approach
• Branching ratio and CP violation of $B_s\to \pi K$ decays in the perturbative QCD approach
• Branching fractions and direct CP asymmetries of charmless decay modes at the Tevatron
• Anomaly and Anomaly-Free Treatment of QFTs Based on Symmetry-preserving Loop Regularization
• Testing the Non-universal Z^\prime Model in Bs -> ϕπ^0 Decay
• On the Radiatively Induced Lorentz and CPT Violating Chern-Simons Term
• Constraints on the anomalous tensor operators from B\toϕK^{\ast}, ηK^{\ast}$ and ηK decays
• Branching Ratio and CP Asymmetry of $B_s\to \rho (\omega )K$ Decays in the Perturbative QCD Approach
• Analysis of $B_s\to KK$ decays in the PQCD
• Possible complex annihilation and B -> K pi direct CP asymmetry
• Revisiting the annihilation decay ${\bar{B}}_s\to {\pi }^{+}{\pi }^{-}$
• Exclusive $B\to VV$ Decays and CP Violation in the General two-Higgs-doublet Model
• Study of $B_s\to \pi \rho$ decays in the perturbative QCD approach
• Branching Ratio and CP Asymmetry of $B_s\to {\pi }^0{\eta }^{(\prime )}$ Decays in the perturbative QCD Approach
• One-Loop Renormalization of Non-Abelian Gauge Theory and βFunction Based on Loop Regularization Method
• Renormalization of Supersymmetric Field Theories in Loop Regularization with String-mode Regulators
• Electroweak Model Independent Tests for SU(3) Symmetry in Hadronic B Decays
• B_s\to K^{(*)-}K^{(*)+}, K^{(*)-}π^{+}, K^{(*)-}ρ^{+} decays in R-parity violating supersymmetry
• Studying of Bs --> K(*)-pi+, K(*)-rho+ decays within supersymmetry
• QCD Factorization Based on Six-Quark Operator Effective Hamiltonian from Perturbative QCD and Charmless Bottom Meson Decays $B_{(s)}\to \pi \pi ,\pi K,KK$

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