Nonleptonic charmless two-body B → AT decays

doi:10.1088/0954-3899/36/12/125002

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Journal of Physics G: Nuclear and Particle Physics

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Journal of Physics G: Nuclear and Particle Physics Volume 36 Number 12 Create an alert RSS this journal

J H Muñoz and N Quintero 2009 J. Phys. G: Nucl. Part. Phys. 36 125002 doi:10.1088/0954-3899/36/12/125002

Nonleptonic charmless two-body B → AT decays

J H Muñoz and N Quintero

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In this work, we have studied hadronic charmless two-body B decays involving p-wave mesons in the final state. We have calculated branching ratios of B → AT decays (where A and T denote a ³P₁ axial-vector and a tensor meson, respectively), using B → T form factors obtained in the covariant light-front (CLF) approach and the full effective Hamiltonian. We have obtained that $\mathcal {B}\big(B^{0} \rightarrow a_{1}^{+}a_{2}^{-}\big) =42.47 \times 10^{-6}$ , $\mathcal {B}\big(B^{+} \rightarrow a_{1}^{+}a_{2}^{0}\big) = 22.71 \times 10^{-6}$ , $\mathcal {B}(B \rightarrow f_{1}K_{2}^{*}) = (2.8\hbox{--}4) \times 10^{-6}$ (with f₁ = f₁(1285), f₁(1420)) for $\theta _{^{3}P_{1}} = 53.2^{\circ }$ , $\mathcal {B}(B \rightarrow f_{1}(1420)K_{2}^{*}) = (5.91\hbox{--}6.42) \times 10^{-6}$ with $\theta _{^{3}P_{1}} = 27.9^{\circ }$ , $\mathcal {B}(B \rightarrow K_{1}a_{2})= (1.7 \hbox{--} 5.7) [1\hbox{--}9.3] \times 10^{-6}$ for $\theta _{K_{1}} = -37^{\circ } [-58^{\circ }]$ where K₁ = K₁(1270), K₁(1400). It seems that these decays can be measured in experiments at B factories. Additionally, we have found that $\mathcal {B}(B \rightarrow K_{1}(1270)a_{2})/\mathcal {B}(B \rightarrow K_{1}(1400)a_{2})$ and $\mathcal {B}(B \rightarrow f_1(1420)K_{2}^{*})/\mathcal {B}(B \rightarrow f_1(1285)K_{2}^{*})$ ratios could be useful to determine numerical values of mixing angles $\theta _{K_{1}}$ and $\theta _{^{3}P_{1}}$ , respectively.

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Journal of Physics G: Nuclear and Particle Physics

Nonleptonic charmless two-body B → AT decays

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