Testing Explanations of the $B\to \varphi K^{\ast }$ Polarization Puzzle

Abstract

$B\to \varphi K^{\ast }$ ($\btos$) is three separate decays, one for each polarization of the final-state vector mesons (one longitudinal, two transverse). It is observed that the fraction of transverse decays, $\fT$, and the fraction of longitudinal decays, $\fL$, are roughly equal: $\fTfL \simeq 1$, in opposition to the naive expectation that $\fT \ll \fL$. If one requires a single explanation of all polarization puzzles, two possibilities remain within the standard model: penguin annihilation and rescattering. In this paper we examine the predictions of these two explanations for $\fTfL$ in $\btod$ decays. In $B\to \rho \rho$ decays, only $\bd \to ρ^0ρ^0$ can possibly exhibit a large $\fTfL$. In B decays related by U-spin, we find two promising possibilities: (i) $B^{+}\to K^{\ast 0}{\rho }^{+}$ ($\btos$) and $B^+ \to \Kbar^{*0} K^{*+}$ ($\btod$) and (ii) $\bs \to K^{*0} \Kbar^{*0}$ ($\btos$) and $\bd \to \Kbar^{*0} K^{*0}$ ($\btod$). The measurement of $\fTfL$ in these pairs of decays will allow us to test penguin annihilation and rescattering. Finally, it is possible to distinguish penguin annihilation from rescattering by performing a time-dependent angular analysis of $\bd \to \Kbar^{*0} K^{*0}$.

15 pages, 2 figures. Added reference and PACS numbers. To appear in PRD

References in corpus (46)

• Big-Bang nucleosynthesis (Particle Data Group mini-review)
• The Cosmological Parameters 2006
• 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
• Fat penguins and imaginary penguins in perturbative QCD
• Final State Interactions in Hadronic B Decays
• Decays of $B$ Mesons to Two Light Pseudoscalars
• B -> M1 M2: Factorization, Charming Penguins, Strong Phases, and Polarization
• ELECTROWEAK PENGUINS AND TWO-BODY B DECAYS
• Charming Penguins in B decays
• Angular distributions and lifetime differences in $B_s\to J/\psi \varphi$ decays
• New Strategies to Extract $\beta$ and $\gamma$ from $B_d\to {\pi }^{+}{\pi }^{-}$ and $B_s\to K^{+}{K}^{-}$
• Polarization in B->VV Decays
• Averages of b-hadron Properties at the End of 2005
• Rates, Polarizations, and Asymmetries in Charmless Vector-Vector B Meson Decays
• Charming Penguins Strike Back
• Measurement of Branching Fractions and Polarization in B -> phi K^{(*)} Decays
• Triple-Product Correlations in B -> V1 V2$ Decays and New Physics
• Measurement of Polarization and Triple-Product Correlations in B -> phi K^* Decays
• Observation of B+ -> rho+ rho0
• U-Spin Symmetry in Charmless B Decays
• Polarizations in B -> VV 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
• A Study of B0 to rho+rho- Decays and Constraints on the CKM Angle alpha
• Enhanced electroweak penguin amplitude in B-->VV decays
• Measurement of the branching fraction, polarization, and CP asymmetry for B0->rho+rho- decays, and determination of the CKM phase phi_2
• Measurements of branching fractions, polarizations, and direct CP-violation asymmetries in B --> rho K* and B --> f0(980) K* decays
• Determination of the angle gamma using B -> D* V modes
• Extracting CKM Phases and $B_s-{\bar{B}}_s$ Mixing Parameters from Angular Distributions of Non-Leptonic B Decays
• Measurements of Branching Fractions and Polarization in B > K^* rho Decays
• Vector-Tensor and Vector-Vector Decay Amplitude Analysis of B0->phi K*0
• Methods for Measuring New-Physics Parameters in B Decays
• Observables in the Decays of B to Two Vector Mesons
• Improved Measurement of the CKM Angle alpha Using B0->rho+rho- Decays
• Amplitude Analysis of the B+- ->phi K*(892)+- Decay
• Measurements of branching fraction, polarization, and charge asymmetry of B+ --> rho+ rho0 and a search for B+ --> rho+ f0(980)
• Penguin-mediated B_(d,s)->VV decays and the Bs - anti-Bs mixing angle
• Search for B0->phiK+pi- Decays with Large K+pi- Invariant Mass
• A Search for Charmless $B\to VV$ Decays
• B Meson Decays to mega K*, omega rho, omega omega, omega phi, and omega f0
• Evidence for B0->rho0rho0 Decay and Implications for the CKM Angle alpha
• U-Spin Tests of the Standard Model and New Physics
• Obtaining CKM Phase Information from B Penguin Decays

Cited by in corpus (25)

• Branching Ratios and Polarization in B-> VV,VA,AA Decays
• Measurement of Polarization and Search for CP-Violation in $B_s^0\to \varphi \varphi$ Decays
• 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
• Amplitude Analysis of the B+- ->phi K*(892)+- Decay
• Measurement of polarization amplitudes and CP asymmetries in $B^0\to \varphi K^{\ast }(892{)}^0$
• Measurement of the polarization amplitudes and triple product asymmetries in the B_s^0 -> phi phi decay
• 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
• Study of charmonium production in $b$-hadron decays and first evidence for the decay $B_s^0\to \varphi \varphi \varphi$
• The B-->pi K Puzzle and Supersymmetry
• Observation of e+e- --> rho+rho- near sqrt(s)=10.58 GeV
• Final-state Polarization in Bs Decays
• Model Independent Tests for Time Reversal and CP Violations and for CPT Theorem in Λ_b and \barΛ_b Two Body Decays
• B -> phi K*, B -> phi Ks and New Physics
• $CP$-violating observables in four-body $B\to \varphi (\to K\bar{K})K^{\ast }(\to K\pi )$ decays
• Helicity amplitudes in $B\to D^{\ast }\bar{\nu }l$ decay
• Experimental constraints from flavour changing processes and physics beyond the Standard Model
• Searching for New Physics by means of Relative Phases and Moduli of Decay Amplitudes
• Interference Effects, Time Reversal Violation and Search for New Physics in Hadronic Weak Decays
• Hot Topics from the BABAR Experiment
• Measurement of Charmless B to Vector-Vector decays at BaBar
• Helicity amplitudes in the $\bar{B}\to D^{\ast }{\bar{\nu }}_{\tau }\tau$ decay with $V-A$ breaking in the quark sector
• $B\to VV$ Decays - Polarization and Triple Products
• Factorization Approaches to B Meson Decays