Study of Polarization in B -> VT Decays

Abstract

In this paper, we examine B -> VT decays (V is a vector and T is a tensor meson), whose final-state particles can have transverse or longitudinal polarization. Measurements have been made of B -> ϕK_2^*, and it is found that fT/fL is small, where fT (fL) is the fraction of transverse (longitudinal) decays. We find that the standard model (SM) naively predicts that fT/fL << 1. The two extensions of the naive SM which have been proposed to explain the large fT/fL in B -> ϕK^* -- penguin annihilation and rescattering -- make no firm predictions for the polarization in B -> ϕK_2^*. The two new-physics scenarios, which explain the data in B -> πK and the ϕ(ρ) K^* polarization measurements, can reproduce the fT/fL data in B -> ϕK_2^* only if the B -> T form factors obey a certain hierarchy. Finally, we present the general angular analysis which can be used to get helicity information using two- and three-body decays.

15 pages, latex, 3 figures (enclosed), several changes made, conclusions unchanged, publication info added

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• Analysis of the D+ --> K- pi+ e+ nu_e decay channel
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• Observation and Polarization Measurements of B+- ->phi K_1+- and B+- ->phi K_2*+-
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• Angular analysis of $B^0\to \varphi K^{\ast }$ decays and search for CP violation at Belle
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• Branching Ratios, Forward-backward Asymmetry and Angular Distributions of $B\to K_1{l}^{+}{l}^{-}$ Decays
• Nonleptonic charmless decays of $B_c\to TP,TV$ in the perturbative QCD approach
• Nonleptonic charmless two-body B decays involving tensor mesons in the covariant light-front approach
• Analysis of the $B\to K_2^{\ast }(1430),a_2(1320),f_2(1270)$ form-factors with light-cone QCD sum rules
• Study of the decay $B_s^0\to J/\psi f_2^{\prime }(1525)$ in ${\mu }^{+}{\mu }^{-}{K}^{+}{K}^{-}$ final states
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• Sizable Time-reversal violating effects in bottom baryon decays
• Supersymmetry and CP violation in B^0_s - \bar{B}^0_s mixing and B^0_s -> J/ψϕdecay
• Searching for possible evidences of new physics in $B\to V_1{V}_2$
• Helicity amplitudes in $B\to D^{\ast }\bar{\nu }l$ decay
• Nonleptonic charmless two-body $B\to AT$ decays
• Three-Body $B_{(s)}^0$ to $\varphi {\pi }^{+}{\pi }^{-}$ Decays
• Helicity amplitudes in the $\bar{B}\to D^{\ast }{\bar{\nu }}_{\tau }\tau$ decay with $V-A$ breaking in the quark sector
• Charmless $B_{u,d,s}\to VT$ decays in perturbative QCD approach