A Virial Theorem for the Kinetic Energy of a Heavy Quark inside Hadrons

Abstract

The formalism of the heavy quark effective theory is used to derive the field-theory analog of the virial theorem, which relates the matrix element of the kinetic energy of a heavy quark inside a hadron to a matrix element of the gluon field strength tensor. The existing QCD sum rule calculations of the kinetic energy are not consistent with this theorem.

10 pages LaTeX, CERN-TH.7070/93

References in corpus (5)

• QCD Predictions for Lepton Spectra in Inclusive Heavy Flavour Decays
• Reparameterisation Invariance Constraints on Heavy Particle Effective Field Theories
• Second Order Power Corrections in the Heavy Quark Effective Theory I. Formalism and Meson Form Factors
• Second Order Power Corrections in the Heavy Quark Effective Theory II. Baryon Form Factors
• The Residual Mass Term in the Heavy Quark Effective Theory

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• Resummation of Nonperturbative Corrections to the Lepton Spectrum in Inclusive $B\to X\ell \bar{\nu }$ Decays
• Charm Quark Mass Dependence of QCD Corrections to Nonleptonic Inclusive B Decays
• The Inclusive $\bar{B}\to \tau \bar{\nu }X$ Decay in Two Higgs Doublet Models
• Heavy quark symmetry in multi-hadron systems
• Chiral and Heavy Quark Symmetry Violation in B Decays
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• Two-Loop Anomalous Dimension of the Chromo-Magnetic Moment of a Heavy Quark
• Weak decays of doubly heavy hadrons
• Improved analysis for the baryon masses to order Lambda_{QCD}/m_Q from QCD sum rules
• Phenomenological Constraints on $\bar{\Lambda }$ and ${\lambda }_1$
• A High-Statistics Lattice Calculation of ${\lambda }_1$ and ${\lambda }_2$ in the $B$ meson
• Average Kinetic Energy of Heavy Quark and Virial Theorem
• Probing gluon dynamics by charm and bottom mesons in nuclear medium from heavy meson effective theory with 1/M-corrections
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• Leading logarithmic QCD corrections to the B_s --> γγdecays in the two Higgs doublet model
• On the $b-$ Quark Kinetic Energy in the ${\Lambda }_b$
• The Mass Definition in Hqet and a New Determination of V${}_{\text{cb}}$
• Motion of b-quark inside B meson: the Parton Model vs. the ACCMM Model
• Comparison of potential models through HQET
• Renormalization of Velocity-Changing Dimension-Five Operators in the Heavy-Quark Effective Theory
• Theory of Inclusive B Decays
• A model independent analysis of $B->X_s{\ell }^{+}{\ell }^{-}$ decays in supersymmetry
• The determination of $|V_{cb}|$ from semileptonic inclusive decay rates
• Heavy quark-meson mass gap from spectroscopy