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Three-loop anomalous dimension of the heavy quark pair production current in nonrelativistic QCD

2003/07/30 by André H. Hoang, A. H. Hoang · 2 citations
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.1103/physrevd.69.034009

published as Phys.Rev. D69 (2004) 034009 · 19 pages, revtex, 5 postscript figures included

arxiv created 2003/07/30 · openalex publication_date 2004/02/25 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The three-loop nonmixing contributions to the anomalous dimension of the leading order quark pair production current in nonrelativistic QCD are computed. It is demonstrated that the renormalization procedure can only be carried out consistently if the dynamics of both soft and ultrasoft degrees of freedom is present for all scales below the heavy quark mass and if the soft and ultrasoft renormalization scales are always correlated.

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