Abstract
In this paper, we study the \(B \to D^{(*)} l^{-} \bar{\nu}_{l}\) semileptonic decays and calculate the branching ratios \(\mathcal{B}(B \to D^{(*)} l^{-} \bar{\nu}_{l})\) and the ratios \(R(D^{(*)})\) and R l,τ D by employing the perturbative QCD (pQCD) factorization approach. We find that (a) for R(D) and R(D *) ratios, the pQCD predictions are R(D) = 0.430 +0.021−0.026 , R(D *) = 0.301 ± 0.013 and agree well with BaBar’s measurements of \(R(D^{(*)})\); (b) for the newly defined R l D and R τ D ratios, the pQCD predictions are R l D = 0.450 +0.064−0.051 and R τ D = 0.642 +0.081−0.070 , which may be more sensitive to the QCD dynamics of the considered semileptonic decays than \(R(D^{(*)})\) and should be tested by experimental measurements.
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Acknowledgments
We wish to thank Hsiang-nan Li, M. F. Sevilla, Wei Wang and Xin Liu for valuable discussions. This work was supported by the National Natural Science Foundation of China (10975074 and 11235005).
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Fan, YY., Wang, WF., Cheng, S. et al. Semileptonic decays B → \(D^{(*)}\) lν in the perturbative QCD factorization approach. Chin. Sci. Bull. 59, 125–132 (2014). https://doi.org/10.1007/s11434-013-0049-9
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DOI: https://doi.org/10.1007/s11434-013-0049-9