Phenomenological Constraints on $\bar{\Lambda }$ and ${\lambda }_1$

Abstract

Combining the experimental data on the inclusive decays $D\to Xe\nu$, $B\to Xe\nu$ and $B\to X\tau \nu$, we find severe constraints on the $\bar{\Lambda }$ and ${\lambda }_1$ parameters of the Heavy Quark Effective Theory. In particular, we get $\bar{\Lambda }<0.7$GeV. Our constraints further imply $m_c\ge 1.43$GeV and $m_b\ge 4.66$GeV. We discuss future prospects of improving these bounds and their phenomenological implications.

8pages RevTeX + 1 postscript figure included, WIS-94/2/Jan-PH

References in corpus (14)

• QCD Predictions for Lepton Spectra in Inclusive Heavy Flavour Decays
• Inclusive Semileptonic B and Polarized Lambda_b Decays from QCD
• Nonperturbative Corrections to Inclusive Beauty and Charm Decays: QCD versus Phenomenological Models
• Reparameterisation Invariance Constraints on Heavy Particle Effective Field Theories
• Nonperturbative Contributions to the Inclusive Rare Decays $B\to X_s\gamma$ and $B\to X_s{\ell }^{+}{\ell }^{-}$
• Second Order Power Corrections in the Heavy Quark Effective Theory I. Formalism and Meson Form Factors
• QCD-Based Interpretation of the Lepton Spectrum in Inclusive $\bar{B}\to X_u\ell \bar{\nu }$ Decays
• Operator Product Expansion for Inclusive Semileptonic Decays in Heavy Quark Effective Field Theory
• Next--to--Leading Order Corrections to Meson Masses in the Heavy Quark Effective Theory
• The Residual Mass Term in the Heavy Quark Effective Theory
• Extracting $|V_{bc}|$, $m_c$ and $m_b$ from Inclusive $D$ and $B$ Decays
• A Virial Theorem for the Kinetic Energy of a Heavy Quark inside Hadrons
• Anathematizing the Guralnik and Manohar Inequality for \barΛ
• QCD Mass Inequalities in the Heavy Quark Limit

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