Properties of the running coupling constant of strong interaction at low energies

Abstract

Quantum chromodynamics (QCD) running coupling constant and its dependence on the energy scale renormalization parameter 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 of the dependence (QCD scale parameter ) is calculated in the five-loop order for the first time. Energy dependence 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
• renormali-zation group equation of QCD.