Ядерна фізика та енергетика Nuclear Physics and Atomic Energy   ISSN: 1818-331X (Print), 2074-0565 (Online)   Publisher: Institute for Nuclear Research of the National Academy of Sciences of Ukraine   Languages: Ukrainian, English, Russian   Periodicity: 4 times per year   Open access peer reviewed journal

Full text (ru)

V. A. Babenko^*, N. M. Petrov

M. M. Bogolyubov Institute of Theoretical Physics, National Academy of Sciences of Ukraine, Kyiv, Ukraine

^*Corresponding author. E-mail address: pet2@ukr.net

Abstract: Quantum chromodynamics (QCD) running coupling constant α_s and its dependence on the energy scale renormalization parameter μ are studied in the energy range of μ ≲ 25 GeV based on the five-loop calculations according to QCD renormalization group equation. Position of the Landau pole μ ≡ Λ = 664.9 MeV of the α_s(μ) dependence (QCD scale parameter Λ) is calculated in the five-loop order for the first time. Energy dependence α_s(μ) of the running coupling constant in the given energy range is very well described by the proposed simple one-pole formula.

Keywords: quantum chromodynamics (QCD), coupling constant of strong interaction, QCD perturbation theory, renormalization group equation of QCD.

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