Applicability of Perturbative QCD to $B\to D$ Decays

Abstract

We examine the applicability of perturbative QCD to $B$ meson decays into $D$ mesons. We find that the perturbative QCD formalism, which includes Sudakov effects at intermediate energy scales, is applicable to the semi-leptonic decay $B\to Dl\nu$, when the $D$ meson recoils fast. Following this conclusion, we analyze the two-body non-leptonic decays $B\to D\pi$ and $B\to D{D}_s$. By comparing our predictions with experimental data, we extract the matrix element $|V_{cb}|=0.044$.

18 pages in Latex, figures are available upon request

References in corpus (4)

• Extraction of $V_{ub}$ from the Decay $B\to \pi l\nu$
• A Lattice Computation of the Decay Constants of $B$ and $D$ Mesons
• A Critical Analysis of the Proton Form Factor with Sudakov Suppression and Intrinsic Transverse Momentum
• Model Independent Extraction of $|V_{\mathrm{bc}}|$ Without Heavy Quark Symmetry

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