title: Strong-coupling constant with flavor thresholds at five loops in the modified minimal-subtraction scheme.
abstract: We present in analytic form the matching conditions for the strong-coupling constant alphas(nf) (mu) at the flavor thresholds to four loops in the modified minimal-subtraction scheme. Taking into account the present knowledge on the coefficient beta4 of the Callan-Symanzik beta function of quantum chromodynamics, we thus derive a five-loop formula for alphas(nf) (mu) together with appropriate relationships between the asymptotic scale parameters Lamda(nf) for different numbers of flavors nf.
authors.affiliation: II. Institut für Theoretische Physik, Universität Hamburg, 22761 Hamburg, Germany.
authors.forename: B A
authors.initials: BA
authors.lastname: Kniehl
authors.forename: A V
authors.initials: AV
authors.lastname: Kotikov
authors.forename: A I
authors.initials: AI
authors.lastname: Onishchenko
authors.forename: O L
authors.initials: OL
authors.lastname: Veretin