Hyperfine Effects and Large $1/m_Q^2$ Corrections

Abstract

Effects associated with hyperfine mass splitting between pseudo\-scalar and vector mesons may induce surprisingly large $1/m_Q^2$ corrections in the heavy quark expansion. We demonstrate this in a relativistic quark model by calculating to all orders in $1/m_Q$, with and without hyperfine effects, and comparing to the first order results. Total corrections of 30\% or more are quite possible in the decay rates for $B\to Dl\nu$ and $B\to D^{\ast }l\nu$ near zero recoil.

12 pages, LaTeX, 2 LaTeX figures in separate file, UTPT-92-24 (revised)

References in corpus (2)

• Second Order Power Corrections in the Heavy Quark Effective Theory I. Formalism and Meson Form Factors
• Simply Modeling Meson HQET

Cited by in corpus (9)

• A Constituent Quark-Meson Model for Heavy-Meson Processes
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• 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
• Linear and higher order power corrections in semileptonic B decays
• 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