title: Five-Loop Running of the QCD Coupling Constant.
abstract: We analytically compute the five-loop term in the beta function which governs the running of α_{s}-the quark-gluon coupling constant in QCD. The new term leads to a reduction of the theory uncertainty in α_{s} taken at the Z-boson scale as extracted from the τ-lepton decays as well as to new, improved by one more order of perturbation theory, predictions for the effective coupling constants of the standard model Higgs boson to gluons and for its total decay rate to the quark-antiquark pairs.
authors.affiliation: Skobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State University 1(2), Leninskie Gory, Moscow 119991, Russian Federation.
authors.forename: P A
authors.initials: PA
authors.lastname: Baikov
authors.affiliation: Institut für Theoretische Teilchenphysik, Karlsruhe Institute of Technology (KIT), Karlsruhe, Germany.
authors.forename: K G
authors.initials: KG
authors.lastname: Chetyrkin
authors.affiliation: Institut für Theoretische Teilchenphysik, Karlsruhe Institute of Technology (KIT), Karlsruhe, Germany.
authors.forename: J H
authors.initials: JH
authors.lastname: Kühn