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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

Hao Zou1, Run-Hui Li1,2, Xiao-Xia Wang1 and Cai-Dian Lü1,3

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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 = phi3 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 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%.


PACS

13.25.Hw Decays of bottom mesons

14.40.Nd Bottom mesons

12.38.Bx Perturbative calculations

Subjects

Particle physics and field theory

Dates

Issue 1 (January 2010)

Received 31 August 2009

Published 23 November 2009



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