Instanton Contribution to $B\to X_{u}e\bar{\nu }$ Decay

Abstract

We study instanton effects on inclusive semileptonic $b\to u$ decay using the heavy quark effective field theory and the operator product expansion. The effect contributes not only to the hadronic matrix element but also to the coefficient functions in the operator product expansion. We find that the coefficient function is singular near the boundaries of the phase space. In order to use perturbative QCD reliably, it is necessary to introduce smearing near the boundary. However the instanton contribution to $b\to c$ decay seems negligibly small.

20 pages + 4 figures attached, SNUTP 94-08

References in corpus (8)

• 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
• On the Motion of Heavy Quarks inside Hadrons: Universal Distributions and Inclusive Decays
• 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
• QCD Corrections and the Endpoint of the Lepton Spectrum in Semileptonic B Decays
• Instanton contributions to the $\tau$ decay widths

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• Revisiting quark-hadron duality for heavy meson non-leptonic decays in two-dimensional QCD
• Is right-handed current contribution to $\bar{B}\to X_{u}l\nu$ decays corrected by non-trivial vacuum in QCD?
• $B\to X_c\ell \bar{\nu }$ Decay as a Probe of Complex Conjugate Poles