The QCD Scale in the Heavy Quark Expansion

Abstract

We argue that consistency of the combined heavy quark and chiral effective lagrangian requires the QCD scale which multiplies $1/M$ in the heavy quark expansion to be the chiral symmetry breaking scale, ${\Lambda }_{CSB}$, rather than the QCD scale, ${\Lambda }_{QCD}$. This means that either there is large uncertainty in the accuracy with which the heavy quark effective theory can be applied to $c$ quarks or the cutoff scale of the heavy quark chiral effective theory is lower than has been assumed.

arXiv comment10 pages (LaTeX), MIT-CTP#2167

References in corpus (4)

• Second Order Power Corrections in the Heavy Quark Effective Theory I. Formalism and Meson Form Factors
• $D$-$\bar{D}$ Mixing in Heavy Quark Effective Field Theory
• Analyticity, Crossing Symmetry and the Limits of Chiral Perturbation Theory
• Heavy Meson Hyperfine Splittings: A Puzzle for Heavy Quark Chiral Perturbation Theory

Cited by in corpus (2)

• Quantum-Chromodynamic Potential Model for Light-Heavy Quarkonia and the Heavy Quark Effective Theory
• Chiral excitations of open-beauty systems