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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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Abstract:

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  = 3 extraction method. We investigated these decays in the perturbative QCD approach to the leading order of mD/mB and ΛQCD/mD 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  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%.

Document Type: Research Article

Publication date: January 1, 2010

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