On the Motion of Heavy Quarks inside Hadrons: Universal Distributions
  and Inclusive Decays

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Abstract

In previous papers we have pointed out that there exists a QCD analog of the phenomenological concept of the so called Fermi motion for the heavy quark inside a hadron. Here we show in a more detailed way how this comes about and we analyze the limitations of this concept. Non-perturbative as well as perturbative aspects are included. We emphasize both the similarities and the differences to the well-known treatment of deep inelastic lepton-nucleon scattering. We derive a model-independent {\em lower} bound on the kinetic energy of the heavy quark inside the hadron.

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Is Open Access

QCD Predictions for Lepton Spectra in Inclusive Heavy Flavour Decays

N. G. Uraltsev, A. Vainshtein, M. Shifman … (1993)

We derive the lepton spectrum in semileptonic beauty decays from a nonperturbative treatment of QCD; it is based on an expansion in \(1/m_Q\) with \(m_Q\) being the heavy flavour quark mass. The leading corrections arising on the \(1/m_Q\) level are completely expressed in terms of the difference in the mass of the heavy hadron and the quark. Nontrivial effects appear in \(1/m_Q^2\) terms affecting mainly the endpoint region; they are different for meson and baryon decays as well as for beauty and charm decays.