Cancellation of renormalon ambiguities in the heavy quark effective theory

1994/07/28 by Matthias Neubert, Chris T. Sachrajda · 1 citation
Physics and Astronomy · #Hadron #High-Energy Particle Collisions Research #Particle physics #Particle physics theoretical and experimental studies #Perturbation theory (quantum mechanics) #Physics #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quark #Renormalon #hep-ph

paper · pdf · doi:10.1016/0550-3213(95)00032-n

published as Nucl.Phys.B438:235-260,1995 · 26 pages LaTeX (a4), 3 figures available in separate file figures.uu, CERN-TH.7312/94

arxiv created 1994/07/28 · openalex publication_date 1995/03/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Recently, it has been shown that the concept of the pole mass of a heavy quark becomes ambiguous beyond perturbation theory, because of the presence of infrared renormalons. We argue that the predictions of heavy quark effective theory, whose construction is based on the pole mass, are free of such ambiguities. In the 1/m_Q expansion of physical quantities, infrared and ultraviolet renormalons compensate each other between coefficient functions and matrix elements. We trace the appearance of these compensations for current-induced exclusive heavy-to-heavy and heavy-to-light transitions, and for inclusive decays of heavy hadrons. In particular, we show that the structure of the heavy quark expansion is not obscured by renormalons, and none of the predictions of heavy quark effective theory are invalidated.

Citations

• Analysis of the photon spectrum in inclusiveB→Xsγdecays
• DecayB→πℓνin heavy quark effective theory
• Short-distance expansion of heavy-light currents at order1mQ
• Heavy quark effective theory beyond perturbation theory: renormalons, the pole mass and the residual mass term
• Reparameterisation invariance constraints on heavy particle effective field theories
• QCD-based interpretation of the lepton spectrum in inclusiveB¯→Xuℓν¯decays
• Inclusive semileptonicBand polarizedΛbdecays from QCD
• The residual mass term in the heavy quark effective theory

Cited by

• Theory of inclusive B decays