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Branching Ratio and Polarization of B → a1(1260)(b1(1235))ρ(ω, ϕ) Decays in the PQCD Approach

2012/03/27 by Zhi-Qing Zhang, Zhang, Zhi-Qing · 1 citation
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #hep-ph

paper · pdf · doi:10.48550/arxiv.1203.5913

15pages, 4 figures

arxiv created 2012/03/27 · arxiv updated 2012/03/28

Abstract

Within the framework of perturbative QCD approach, we study the charmless two-body decays into final states involving one axial-vector (A), a1(1260) or b1(1235), and one vector (V), namely ρ(ω,ϕ). Using the decays constants and the light-cone distribution amplitudes for these mesons derived from the QCD sum rule method, we find the following results: (a) Except the decays B0→ a01ρ0(ω), other tree-dominated decays B→ a1ρ(ω) have larger branching ratios, at the order of 10-5. (b)Except the decays B→ b+1ρ- and B-→ b01ρ-, other B→ b1ρ(ω) decays have smaller branching ratios, at the order of 10-6. (c) The decays B→ a1(b1) ϕ are highly suppressed and have very small branching ratios, at the order of 10-9. (d) For the decays B0 → a10ρ0 and B-→ b1-ρ0, their two transverse polarizations are larger than their longitudinal polarizations, which are about 43.3% and 44.9%, respectively. (d) The two transverse polarizations have near values in the decays B→ a1ρ(ω), while have large differences in some of B→ b1ρ(ω) decays. (e) For the decays B-→ a01ρ-, b01ρ- and B0→ b01ρ0, b01ω, where the transverse polarization fractions range from 4.7 to 7.5%, we calculate their direct CP-violating asymmetries with neglecting the transverse polarizations and find that those for two charged decays have smaller values, which are about 11.8% and -3.7%, respectively.

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