Simply Modeling Meson HQET

Abstract

A simple relativistic model of heavy-quark-light-quark mesons is proposed. In an expansion in inverse powers of the heavy quark mass we find that all zeroth and first order heavy quark symmetry relations are satisfied. The main results are: - the difference between the meson mass and the heavy quark mass plays a significant role even at zeroth order; - the slope of the Isgur-Wise function at the zero recoil point is typically less than $-1$; - the first order correction to the pseudoscalar decay constant is large and negative; - the four universal functions describing the first order corrections to the semileptonic decay form factors are small; - these latter corrections are quite insensitive to the choice of model parameters, and in particular to the effects of hyperfine mass splitting.

17 pages, LaTeX, 3 LaTeX figures in separate file, UTPT-92-16. This is the version published long ago but not previously archived

References in corpus (3)

• The Residual Mass Term in the Heavy Quark Effective Theory
• QCD Sum Rule Analysis of the Subleading Isgur-Wise Form Factor ${\chi }_2(v\cdot v^{\prime })$
• Heavy Mesons in Two Dimensions

Cited by in corpus (17)

• Semileptonic Meson Decays in the Quark Model: An Update
• Chiral Dynamics and Heavy Quark Symmetry in a Toy Field Theoretic Model
• A Constituent Quark-Meson Model for Heavy-Meson Processes
• Strong and Radiative $D^{\ast }$ Decays
• Comparison of 1/mQ^2 Corrections in Mesons and Baryons
• Measurement of the Lambda_b^0 Decay Form Factor
• Semileptonic B -> rho and B -> a_1 transitions in a quark-meson model
• Weak Decays in the light--front Quark Model
• Decay constants, semi-leptonic and non-leptonic decays in a Bethe-Salpeter Model
• Analysis of the Lambda_b -> Lambda_c + l nu_l decay within a light-front constituent quark model
• On the 1/m^2 corrections to the form-factors in /\_b -> /\_c semileptonic decays
• Subleading Heavy Quark Effects in a Nonrelativistic Quark Model
• Linear and higher order power corrections in semileptonic B decays
• Hyperfine Effects and Large $1/m_Q^2$ Corrections
• Simply Modeling B -> K* gamma
• 1/m_c Expansion of Omega_b -> Omega_c^(*) Semileptonic Decay Form Factors
• Anomalous Thresholds and the Isgur-Wise Function