The three-loop relation between the and the pole quark masses

1999/12/31 by Kirill Melnikov, Timo van Ritbergen · 20 citations
Mathematics · Physics and Astronomy · #Bar (unit) #Combinatorics #Computer science #High-Energy Particle Collisions Research #Loop (graph theory) #Mathematics #Nuclear physics #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum electrodynamics #Quark #Relation (database) #hep-ph

paper · pdf · doi:10.1016/s0370-2693(00)00507-4

published as Phys.Lett. B482 (2000) 99-108 · 7 pages, 1 figure, revtex, minor changes

arxiv created 2000/01/12 · openalex publication_date 2000/06/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

The analytic relation between the MS and the pole quark masses is computed to O(α_s³) in QCD. Using this exact result, the accuracy of the large β₀ approximation is critically examined and the implications of the obtained relation for semileptonic B decays are discussed.

Citations

• Integration by parts: The algorithm to calculate β-functions in 4 loops
• Heavy quark effective theory beyond perturbation theory: renormalons, the pole mass and the residual mass term
• Resummation of (ß0αs)n corrections in QCD: techniques and applications to the τ hadronic width and the heavy quark pole mass
• Resummation of running coupling effects in semileptonicBmeson decays and extraction of ‖Vcb‖
• bquark low-scale running mass fromΥsum rules
• Two-loop QCD corrections of the massive fermion propagator
• A planar diagram theory for strong interactions
• Regularization and renormalization of gauge fields
• Anathematizing the Guralnik-Manohar bound for
• Commensurate scale relations in quantum chromodynamics

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