Charmless B -> VV Decays in QCD Factorization: Implications of Recent $B\to \varphi K^{\ast }$ Measurement

Abstract

In the heavy quark limit, both vector mesons in the charmless B -> VV decay should have zero helicity and the corresponding amplitude is proportional to the form factor difference $(A_1-A_2)$. The first observed charmless $B\to VV$ mode, $B\to \varphi K^{\ast }$, indicates that the form factors $A_1(q^2)$ and $A_2(q^2)$ cannot be very similar at low $q^2$ as shown in some form-factor models. The approach of QCD-improved factorization implies that the nonfactorizable correction to each partial-wave or helicity amplitude is not the same; the effective parameters $a_i$ vary for different helicity amplitudes. The leading-twist nonfactorizable corrections to the transversely polarized amplitudes vanish in the chiral limit and hence it is necessary to take into account twist-3 distribution amplitudes of the vector meson in order to have renormalization scale and scheme independent predictions. Branching ratios of $B\to VV$ decays are calculated in two different models for form factors, and the predicted decay rates are different by a factor of $1.5\sim 2$. Owing to the absence of (S-P)(S+P) penguin contributions to the W-emission amplitudes, tree-dominated decays tend to have larger branching ratios than the penguin-dominated ones.

11 pages. A sign typo in Eq.(14) is corrected. Experimental data are updated. To appear in PLB

Cited by in corpus (61)

• QCD factorization for B->PP and B->PV decays
• Final State Interactions in Hadronic B Decays
• Branching fractions, polarisation and asymmetries of B -> VV decays
• Polarization in B->VV Decays
• Rates, Polarizations, and Asymmetries in Charmless Vector-Vector B Meson Decays
• Triple-Product Correlations in B -> V1 V2$ Decays and New Physics
• Branching Ratios and Polarization in B-> VV,VA,AA Decays
• Perturbative QCD analysis of $B\to \varphi K^{\ast }$ decays
• Phenomenological Analysis of Charmless Decays B-->PV with QCD Factorization
• Resolution to the $B\to \varphi K^{\ast }$ polarization puzzle
• Phenomenological Analysis of Charmless Decays Bs->PP,PV with QCD Factorization
• Possible Large Direct CP Violations in Charmless B-Decays
• Measurement of the B0->PhiK*0 Decay Amplitudes
• Data for Polarization in Charmless B -> phi K^*: A Signal for New Physics?
• Implication of the B -> rho rho data on the B -> pi pi puzzle
• Study of the decay B0(B0bar)-->rho+rho-, and constraints on the CKM angle alpha
• MSSM Anatomy of the Polarization Puzzle in B --> phi K* Decays
• Vector-Tensor and Vector-Vector Decay Amplitude Analysis of B0->phi K*0
• B -> J/psi K^* Decays in QCD Factorization
• Study of $B\to K^{\ast }\rho ,K^{\ast }\omega$ Decays with Polarization in Perturbative QCD Approach
• Problems of QCD factorization in exclusive decays of B meson to charmonium
• Charmless ${\bar{B}}_s\to VV$ Decays in QCD Factorization
• Anatomy of $B_s\to VV$ decays and effects of next-to-leading order contributions in the perturbative QCD factorization approach
• Study of $B_c^{-}$ $\to$ $J/\psi {\pi }^{-}$, ${\eta }_c{\pi }^{-}$ Decays with QCD Factorization
• Branching Ratio and Polarization of $B\to \rho (\omega )\rho (\omega )$ Decays in Perturbative QCD Approach
• Observation of B0 -> K*0 K*0bar and search for B0 -> K*0 K*0
• Analysis of the $B_q\to D_q(D_q^{\ast })P$ and $B_q\to D_q(D_q^{\ast })V$ decays within the factorization approach in QCD
• Observation of the Decay B0 => rho+ rho- and Measurement of the Branching Fraction and Polarization
• Amplitude Analysis of the B+- ->phi K*(892)+- Decay
• Charmless $B\to PV,VV$ decays and new physics effects in the mSUGRA model
• Polarization, CP Asymmetry and Branching ratios in B \to K^* K^* with Perturbative QCD approach
• Annihilation in Factorization-suppressed B Decays Involving a 1^1P_1 Meson and Search for New-Physics Signals
• CP violating SUSY effects in Penguin dominated modes B -> PHI K and B -> PHI K*
• Constraining R-parity violating couplings from B --> PP decays using QCD improved factorization method
• Search for B0->phiK+pi- Decays with Large K+pi- Invariant Mass
• Searching for new physics in the angular distribution of B^0 -> phi K^* decay
• Search for Majorana Neutrino Signal in $B_c$ Meson Rare Decay
• Time-reversal asymmetries and angular distributions in ${\Lambda }_b\to \Lambda V$
• Reexamining charmless B\to PV decays in QCD factorization approach
• B Meson Decays to mega K*, omega rho, omega omega, omega phi, and omega f0
• Exclusive non-leptonic B meson decays from QCD
• Charmless $B_s\to PP,PV,VV$ Decays Based on the six-quark Effective Hamiltonian with Strong Phase Effects II
• Evidence for Neutral B Meson Decays to wK*0
• Charmless $B\to PP,PV,VV$ Decays Based on the six-quark Effective Hamiltonian with Strong Phase Effects
• On the possible resolution of the B-meson decay polarization anomaly in R-parity violating SUSY
• Analysis of B_d^0 -> phi K^{*0} decay mode with supersymmetry
• Large Strong Phases and CP Violation in the Annihilation Processes ${\bar{B}}^0\to K^{+}{K}^{-}$, $K^{\ast \pm }{K}^{\mp }$, $K^{\ast +}{K}^{\ast -}$
• Factorization and hadronic B decays in the heavy quark limit
• Pseudoscalar and Scalar Operators of Higgs-Penguins in the MSSM and B to phi K^*, K eta(') Decays
• Searching for possible evidences of new physics in $B\to V_1{V}_2$
• Evidence for the decay B0 --> omega omega and search for B0 --> omega phi
• Measurements of B meson decays to omega K* and omega rho
• Properties of Axial-vector Mesons and Charmless B Decays: B -> VV, VA, AA
• Semi-inclusive Decay $B\to \varphi X_s$: Rate and Momentum Spectrum of $\varphi$
• Phenomenological Application of $k_T$ factorization
• QCD Approach to B->D πDecays and CP Violation
• QCD Factorization Based on Six-Quark Operator Effective Hamiltonian from Perturbative QCD and Charmless Bottom Meson Decays $B_{(s)}\to \pi \pi ,\pi K,KK$
• ${\bar{B}}_s\to {\mu }^{+}{\mu }^{-}$ decay in the Randall-Sundrum model
• Higher Twist Effects in Hadronic B Decays
• New Source of CP violation in B physics ?
• Branching fraction, $CP$ asymmetry, and polarization in $B\to \rho \rho$ decays with the modified perturbative QCD approach