Non-leptonic $B$ decays into a charmed tensor meson

J.-P. Lee

doi:doi:10.1140/epjc/s2003-01156-x

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2024 Impact factor 4.8

Particles and Fields

Eur. Phys. J. C 28, 237-241 (2003)
DOI: 10.1140/epjc/s2003-01156-x

Non-leptonic B decays into a charmed tensor meson

J.-P. Lee

Department of Physics and IPAP, Yonsei University, Seoul, 120-749, Republic of Korea

(Received: 18 July 2002 / Revised version: 21 October 2002 / Published online: 14 March 2003)

Abstract
In the framework of factorization and the heavy quark effective theory, $B\to D_2^*\pi$ modes are analyzed. We adopt the result from the QCD sum rule calculation for the hadronic matrix elements at leading order of $\Lambda_{\mathrm{QCD}}/m_Q$ and $\alpha_{\mathrm{s}}$ . The QCD sum rule results are well compatible with the current data, with the prediction for the branching ratios ${\cal B}({\bar B}^0\to D_2^{*+}\pi^-)=8.94\times 10^{-4}$ and ${\cal B}(B^-\to D_2^{*0}\pi^-)=9.53\times 10^{-4}$ for N_C^eff=2 . We give constraints on the interception $\tau(1)$ and the slope parameter $\rho^2$ of the leading Isgur-Wise function from the experimental bounds. It is argued that the observation of non-zero ${\cal B}({\bar B}^0\to D_2^{*0}\pi^0)$ directly measures the non-factorizable effects.