Polarizations in B -> VV decays

Abstract

We demonstrate that the polarization fractions of most tree-dominated $B\to VV$ decays can be simply understood by means of kinematics in the heavy-quark or large-energy limit. For example, the longitudinal polarization fractions $R_L$ of the $B^0\to (D_s^{\ast +},D^{\ast +},{\rho }^{+})D^{\ast -}$ and $B^{+}\to (D_s^{\ast +},D^{\ast +},{\rho }^{+}){\rho }^0$ modes increase as the masses of the mesons $D_s^{\ast +},D^{\ast +},{\rho }^{+}$ emitted from the weak vertex decrease. The subleading finite-mass or finite-energy corrections modify these simple estimates only slightly. Our predictions for the $B\to D_{(s)}^{\ast }{D}^{\ast }$ polarization fractions derived in the perturbative QCD framework, especially $R_L\sim 1$ for $B^0\to {\bar{D}}^{\ast 0}{D}^{\ast 0}$ governed by nonfactorizable $W$-exchange amplitudes, can be confronted with future data. For penguin-dominated modes, such as $B\to \rho (\omega )K^{\ast }$, the polarization fractions can be understood by the annihilation effect from the $(S-P)(S+P)$ operators, plus the interference with a small tree amplitude. At last, we comment on the various mechanism proposed in the literature to explain the abnormal $B\to \varphi K^{\ast }$ polarization data, none of which are satisfactory.

26 pages, 4 figures; corrected typos, version to appear in Phys. Rev. D

References in corpus (7)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• Final State Interactions in Hadronic B Decays
• The Riddle of Polarization in $B\to VV$ Transitions
• Final state interactions for B => VV charmless decays
• Measurement of the B0->PhiK*0 Decay Amplitudes
• Weak phases from the $B\to \pi \pi$, $K\pi$ decays
• A Measurement of gamma from the Decays Bd(t) -> D(*)+ D(*)- and Bd -> Ds(*)+ D(*)-

Cited by in corpus (79)

• 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
• Two body B decays with isosinglet final states in SCET
• Branching Ratios and Polarization in B-> VV,VA,AA 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
• Resolution to the $B\to \varphi K^{\ast }$ polarization puzzle
• Transition form factors of B decays into p-wave axial-vector mesons in the perturbative QCD approach
• Data for Polarization in Charmless B -> phi K^*: A Signal for New Physics?
• Nonfactorizable contributions to $B$ meson decays into charmonia
• Improved Estimates of The $B_{(s)}\to VV$ Decays in Perturbative QCD Approach
• S-wave ground state charmonium decays of $B_c$ mesons in the perturbative QCD approach
• Polarization States in B -> rho K* and New Physics
• Enhanced electroweak penguin amplitude in B-->VV decays
• The study of $B_c^{-}\to X(3872){\pi }^{-}(K^{-})$ Decays in the Covariant Light-Front Approach
• Polarizations in decays B_{u,d}\to VV and possible implications for R-parity violating SUSY
• Measurements of branching fractions, polarizations, and direct CP-violation asymmetries in B --> rho K* and B --> f0(980) K* decays
• Implication of the B -> rho rho data on the B -> pi pi puzzle
• The pure annihilation type B_c to M_2 M_3 decays in the perturbative QCD approach
• MSSM Anatomy of the Polarization Puzzle in B --> phi K* Decays
• Vector-Tensor and Vector-Vector Decay Amplitude Analysis of B0->phi K*0
• Penguin Pollution in $B\to J/\psi V$ Decays and Impact on the Extraction of the $B_s-{\bar{B}}_s$ mixing phase
• Study of $B\to K^{\ast }\rho ,K^{\ast }\omega$ Decays with Polarization in Perturbative QCD 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
• Testing Explanations of the $B\to \varphi K^{\ast }$ Polarization Puzzle
• Decays of $B$ meson to two charmed mesons
• Study of Polarization in B -> VT Decays
• Observation and Polarization Measurements of B+- ->phi K_1+- and B+- ->phi K_2*+-
• Observation of B0 -> K*0 K*0bar and search for B0 -> K*0 K*0
• Hochschild homology, trace map and $\zeta$-cycles
• Amplitude Analysis of the B+- ->phi K*(892)+- Decay
• Charmless two-body $B$ meson decays in perturbative QCD factorization approach
• Global Analysis of Charmless $B$ Decays into Two Vector Mesons in Soft-Collinear Effective Theory
• Polarization, CP Asymmetry and Branching ratios in B \to K^* K^* with Perturbative QCD approach
• Light scalar mesons and charmless hadronic $B_c\to SP,SV$ decays in the perturbative QCD approach
• Four-body decays $B_{(s)}\to (K\pi {)}_{S/P}(K\pi {)}_{S/P}$ in the perturbative QCD approach
• Annihilation in Factorization-suppressed B Decays Involving a 1^1P_1 Meson and Search for New-Physics Signals
• Observation of B Meson Decays to omegaK* and Improved Measurements for omegarho and omega f_0
• Branching ratios of $B_c\to AP$ decays in the perturbative QCD approach
• Constraints on the anomalous tensor operators from B\toϕK^{\ast}, ηK^{\ast}$ and ηK decays
• Factorization and polarization in two charmed-meson B decays
• Semi-leptonic and Non-leptonic $B$ meson decays to charmed mesons
• Search for $B^0\to K^{\ast 0}\overline{K}{}^{\ast 0}$, $B^0\to K^{\ast 0}{K}^{\ast 0}$ and $B^0\to K^{+}{\pi }^{-}{K}^{\mp }{\pi }^{\pm }$ Decays
• Role of electromagnetic dipole operator in the electroweak penguin dominated vector meson decays of $B$ meson
• Exclusive $B\to VV$ Decays and CP Violation in the General two-Higgs-doublet Model
• Search for B0->phiK+pi- Decays with Large K+pi- Invariant Mass
• Nonleptonic charmless decays of $B_c\to TP,TV$ 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
• B Meson Decays to mega K*, omega rho, omega omega, omega phi, and omega f0
• Evidence for Neutral B Meson Decays to wK*0
• The PQCD approach towards to next-to-leading order: a short review
• Charmless $B\to PP,PV,VV$ Decays Based on the six-quark Effective Hamiltonian with Strong Phase Effects
• Measurements of branching fractions, polarizations, and direct CP-violation asymmetries in B+ -> rho0 K*+ and B+ -> f0(980)K*+ decays
• 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
• Observation and Polarization Measurement of B0 --> a1(1260)+ a1(1260)- Decay
• Nonleptonic decays of $B\to (f_1(1285),f_1(1420))V$ in the perturbative QCD approach
• $CP$ violation induced by the double resonance for pure annihilation decay process in Perturbative QCD
• Search for B-meson decays to b1rho and b1K*
• Pseudoscalar and Scalar Operators of Higgs-Penguins in the MSSM and B to phi K^*, K eta(') Decays
• Penguin-dominated $B\to \varphi K_1(1270)$ and $\varphi K_1(1400)$ decays in the perturbative QCD approach
• Direct $CP$ violation for ${\bar{B}}_s^0\to \varphi {\pi }^{+}{\pi }^{-}$ in Perturbative QCD
• Search for the decay $B^{+}\to \overline{K}{}^{\ast 0}{K}^{\ast +}$ at Belle
• Final-state Polarization in Bs Decays
• Search for B0 -> K*+ K*-
• Semi-inclusive hadronic B decays in the endpoint region
• Evidence for the decay B0 --> omega omega and search for B0 --> omega phi
• The pure annihilation type decays $B^0\to D_s^{-}{K}_2^{\ast +}$ and $B_s\to \bar{D}{a}_2$ in perturbative QCD approach
• $CP$-violating observables in four-body $B\to \varphi (\to K\bar{K})K^{\ast }(\to K\pi )$ decays
• $B_{d,s}^0\to f_1{f}_1$ decays with $f_1(1285)-f_1(1420)$ mixing in the perturbative QCD approach
• Charmless hadronic $B\to (f_1(1285),f_1(1420))P$ decays in the perturbative QCD approach
• Study of ${\bar{B}}^0\to D^0{\mu }^{+}{\mu }^{-}$ Decay in Perturbative QCD Approach
• Investigating the Effect of Family Non-universal $Z^{\prime }$ Boson in $B\to \varphi \varphi$ Decay
• QCD Factorization Based on Six-Quark Operator Effective Hamiltonian from Perturbative QCD and Charmless Bottom Meson Decays $B_{(s)}\to \pi \pi ,\pi K,KK$
• First observation of $CP$ violation and measurement of polarization in $B^{+}\to \rho (770{)}^0{K}^{\ast }(892{)}^{+}$ decays
• Measurement of the branching fractions and longitudinal polarisations of $B_{(s)}^0\to K^{\ast 0}\overline{K}{}^{\ast 0}$ decays
• Charmless $B_{u,d,s}\to VT$ decays in perturbative QCD approach
• Branching fraction, $CP$ asymmetry, and polarization in $B\to \rho \rho$ decays with the modified perturbative QCD approach