Study of $B\to K^{\ast }\rho ,K^{\ast }\omega$ Decays with Polarization in Perturbative QCD Approach

Abstract

The $B\to K^{\ast }\rho$, $K^{\ast }\omega$ decays are useful to determine the CKM angle ${\varphi }_3=\gamma$. Their polarization fractions are also interesting since the polarization puzzle of the $B\to \varphi K^{\ast }$ decay. We study these decays in the perturbative QCD approach based on $k_T$ factorization. After calculating of the non-factorizable and annihilation type contributions, in addition to the conventional factorizable contributions, we find that the contributions from the annihilation diagrams are crucial. They give dominant contribution to the strong phases and suppress the longitudinal polarizations. Our results agree with the current existing data. We also predict a sizable direct CP asymmetries in $B^{+}\to K^{\ast +}{\rho }^0$, $B^0\to K^{\ast +}{\rho }^{-}$, and $B^{+}\to K^{\ast +}\omega$ decays, which can be tested by the oncoming measurements in the B factory experiments.

arXiv comment15 pages, latex, including 4 figures

References in corpus (41)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• Weak Decays Beyond Leading Logarithms
• QCD Factorization for $B\to \pi \pi$ Decays: Strong Phases and CP Violation in the Heavy Quark Limit
• QCD factorization for exclusive, non-leptonic B meson decays: General arguments and the case of heavy-light final states
• QCD Factorization in B -> pi K, pi pi Decays and Extraction of Wolfenstein Parameters
• Penguin Enhancement and $B\to K\pi$ decays in perturbative QCD
• Fat penguins and imaginary penguins in perturbative QCD
• Symmetry-breaking corrections to heavy-to-light B meson form factors at large recoil
• Branching Ratio and CP Violation of B to pi pi Decays in Perturbative QCD Approach
• Experimental Tests of Factorization in Charmless Non-Leptonic Two-Body B Decays
• Higher Twist Distribution Amplitudes of Vector Mesons in QCD: Formalism and Twist Three Distributions
• Final State Interactions in Hadronic B Decays
• Asymptotics of Heavy-Meson Form Factors
• B -> M1 M2: Factorization, Charming Penguins, Strong Phases, and Polarization
• Leading-power contributions to $B\to \pi ,\rho$ transition form factors
• Charmless Hadronic Two-body Decays of B_u and B_d Mesons
• Polarization in B->VV Decays
• B to light meson transition form factors calculated in perturbative QCD approach
• $B\to \pi \rho$, $\pi \omega$ Decays in Perturbative QCD Approach
• Factorization theorems, effective field theory, and nonleptonic heavy meson decays
• Rates, Polarizations, and Asymmetries in Charmless Vector-Vector B Meson Decays
• Three-Scale Factorization Theorem and Effective Field Theory
• Corrections to sin(2 beta) from CP asymmetries in B^0 -> (pi^0,rho^0,eta,eta^',omega,phi) K_S decays
• Measurement of Branching Fractions and Polarization in B -> phi K^{(*)} Decays
• On the SU(3) Symmetry-Breaking Corrections to Meson Distribution Amplitudes
• Observation of B+ -> rho+ rho0
• Polarizations in B -> VV decays
• The Riddle of Polarization in $B\to VV$ Transitions
• Perturbative QCD analysis of $B\to \varphi K^{\ast }$ decays
• Final state interactions for B => VV charmless decays
• Resolution to the $B\to \varphi K^{\ast }$ polarization puzzle
• Charmless B -> VV Decays in QCD Factorization: Implications of Recent $B\to \varphi K^{\ast }$ Measurement
• Data for Polarization in Charmless B -> phi K^*: A Signal for New Physics?
• Implications of Recent Measurements of Hadronic Charmless B Decays
• Polarizations in decays B_{u,d}\to VV and possible implications for R-parity violating SUSY
• $B$ meson wave function in $k_T$ factorization
• Beyond the standard model with B and K physics
• Charmless ${\bar{B}}_s\to VV$ Decays in QCD Factorization
• Annihilation in Factorization-suppressed B Decays Involving a 1^1P_1 Meson and Search for New-Physics Signals
• Charmless Nonleptonic Two-Body B Decays in the Factorization Approach
• Transverse Momentum Dependent Light-Cone Wave Function of B-Meson and Relation to the Momentum Integrated One

Cited by in corpus (35)

• Charmless non-leptonic B_s decays to PP, PV and VV final states in the pQCD approach
• Branching fractions, polarisation and asymmetries of B -> VV decays
• Revisiting Charmless Hadronic B_{u,d} Decays in QCD Factorization
• The $B(B_s)\to D_{(s)}P$, $D_{(s)}V$, $D_{(s)}^{\ast }P$ and $D_{(s)}^{\ast }V$ decays in the perturbative QCD approach
• Improved Estimates of The $B_{(s)}\to VV$ Decays in Perturbative QCD Approach
• Charmless $B_{(s)}\to VV$ Decays in Factorization-Assisted Topological-Amplitude Approach
• Charmless Hadronic B-Meson Decays
• Anatomy of $B_s\to VV$ decays and effects of next-to-leading order contributions in the perturbative QCD factorization approach
• The CKM suppressed $B(B_s)\to {\bar{D}}_{(s)}P,{\bar{D}}_{(s)}V,{\bar{D}}_{(s)}^{\ast }P,{\bar{D}}_{(s)}^{\ast }V$ decays in perturbative QCD approach
• The two-body B_c {\to} D^{(*)}_{(s)}P, D^{(*)}_{(s)}V decays in the Perturbative QCD Approach
• Charmless two-body $B$ meson decays in perturbative QCD factorization approach
• Hochschild homology, trace map and $\zeta$-cycles
• Global Analysis of Charmless $B$ Decays into Two Vector Mesons in Soft-Collinear Effective Theory
• Observation of B Meson Decays to omegaK* and Improved Measurements for omegarho and omega f_0
• $B^0\to \omega {\eta }^{(\prime )}$ and $\varphi {\eta }^{(\prime )}$ decays in the perturbative QCD approach
• Measurements of Charmless Hadronic b->s Penguin Decays in the pi+pi-K+pi- Final State and First Observation of B0 -> rho0K+pi-
• Study of $B_{(s)}\to (\pi \pi )(K\pi )$ decays in the perturbative QCD approach
• Anatomy of $B_s\to PV$ decays and effects of next-to-leading order contributions in the perturbative QCD factorization approach
• What can we learn from $B\to a_1(1260)(b_1(1235))\pi (K)$ decays?
• B Meson Decays to mega K*, omega rho, omega omega, omega phi, and omega f0
• Study of the weak annihilation contributions in charmless $B_s\to VV$ decays
• 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
• Direct $CP$ violation of three bodies decay process from the resonance effect
• $CP$ violation induced by the double resonance for pure annihilation decay process in Perturbative QCD
• Study of the four-body decays $B_S^0\to \pi \pi \pi \pi$ in the perturbative QCD approach
• Search for the decay $B^{+}\to \overline{K}{}^{\ast 0}{K}^{\ast +}$ at Belle
• Direct $CP$ violation for ${\bar{B}}_s^0\to \varphi {\pi }^{+}{\pi }^{-}$ in Perturbative QCD
• Evidence for the decay B0 --> omega omega and search for B0 --> omega phi
• Perturbative QCD for B_s \to a_1(1260)(b_1(1235))P(V) Decays
• The two-pseudoscalar-meson decay of ${\chi }_{cJ}$ with twist-3 corrections
• First observation of $CP$ violation and measurement of polarization in $B^{+}\to \rho (770{)}^0{K}^{\ast }(892{)}^{+}$ decays
• Study of B^{0}_{s} \rightarrow \ TT(a_{2}(1320),K^{*}_{2}(1430),f_{2}(1270),f^{'}_{2}(1525)) in the perturbative QCD approach
• Measurement of the branching fractions and longitudinal polarisations of $B_{(s)}^0\to K^{\ast 0}\overline{K}{}^{\ast 0}$ decays
• Analysis of $B\to a_1(1260)(b_1(1235))K^{\ast }$ decays in the perturbative QCD approach