The Semileptonic Decays $D\to π(ρ) e ν$ and $B\to π(ρ) e ν$ from QCD Sum Rules

Details The Semileptonic Decays $D\to π(ρ) e ν$ and $B\to π(ρ) e ν$ from QCD Sum Rules The Semileptonic Decays $D\to π(ρ) e ν$ and $B\to π(ρ) e ν$ from QCD Sum Rules

1993-05-14

arxiv.org/abs/hep-ph/9305267v1

Phys.Rev.D48:3190-3203,1993

Physics

High Energy Physics

High Energy Physics - Phenomenology

23 pages, 12 figures included as uu-encoded file, needs REVTEX, TUM--T31--39/93

Scientific paper

10.1103/PhysRevD.48.3190

We investigate the semileptonic decays of B and D mesons into $\pi$ and $\rho$ mesons, respectively, by means of QCD sum rules. We find that for the vector formfactors involved the pole dominance hypothesis is valid to good accuracy with pole masses in the expected range. Pole dominance, however, does not apply to the axial formfactors which results in specific predictions for the predominant polarization of the $\rho$ meson and the shape of the lepton spectrum. For the total decay rates we find $\Gamma (\bar B^0 \to \pi^+ e^- \bar\nu) = (5.1\pm 1.1)\,|V_{ub}|^2\, 10^{12}\,{\rm s^{-1}}$, $\Gamma ( D^0 \to \pi^- e^+ \nu) = (8.0\pm 1.7)\,|V_{cd}|^2\, 10^{10}\,{\rm s^{-1}}$, $\Gamma (\bar B^0 \to \rho^+ e^- \bar\nu) = (1.2\pm 0.4\,)\,|V_{ub}|^2\, 10^{13}\,{\rm s^{-1}}$ and $\Gamma (D^0 \to \rho^- e^+\nu) = (2.4\pm 0.7)\,|V_{cd}|^2\, 10^{9}\,{\rm s^{-1}}$.

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