The CKM suppressed  decays in the perturbative QCD approach

doi:10.1088/0954-3899/37/1/015002

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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 37 Number 1 Create an alert RSS this journal

Hao Zou et al 2010 J. Phys. G: Nucl. Part. Phys. 37 015002 doi:10.1088/0954-3899/37/1/015002

The CKM suppressed $B(B_s) \rightarrow \bar{D}_{(s)}P\hbox{,}\, \bar{D}_{(s)}V\hbox{,} \bar{D}_{(s)}^P\hbox{,}\, \bar{D}_{(s)}^V$ decays in the perturbative QCD approach

Hao Zou¹, Run-Hui Li^1,2, Xiao-Xia Wang¹ and Cai-Dian Lü^1,3

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Although the two-body charmed decays $B_{(s)} \rightarrow \bar{D}_{(s)}^{(*)}P$ and $\bar{D}_{(s)}^{(*)}V$ , where P (V) denotes a light pseudoscalar (vector) meson, are Cabbibo–Kobayashi–Maskawa (CKM) suppressed compared with the B_(s) → D^(*)_(s)P and D^(*)_(s)V decays, they are important in the CKM angle γ = phi ₃ extraction method. We investigated these decays in the perturbative QCD approach to the leading order of m_D/m_B and Λ_QCD/m_D expansion. We find that the nonfactorizable emission diagrams and the annihilation diagrams are not negligible in many of these channels. The numerical results show that most channels have branching ratios with an order of 10⁻⁶ or 10⁻⁷. The ratio needed for the CKM angle γ extraction is estimated as $r = \frac{|A(B^- \rightarrow \bar{D}^0 K^-)|}{|A(B^- \rightarrow D^0 K^-)|} = 0.092_{-0.003-0.003}^{+0.012+0.003},$ which is too small for the experiments. Some of the $B_{(s)}\rightarrow \bar{D}_{(s)}^*V$ decays have a very large transversely polarized contribution that can reach 80%.

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Journal of Physics G: Nuclear and Particle Physics

The CKM suppressed $B(B_s) \rightarrow \bar{D}_{(s)}P\hbox{,}\, \bar{D}_{(s)}V\hbox{,} \bar{D}_{(s)}^P\hbox{,}\, \bar{D}_{(s)}^V$ decays in the perturbative QCD approach

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