title: Cross section of e(+)e(-) annihilation into hadrons of order alpha(4)(s)n(2)(f) in perturbative QCD.
abstract: We present the first genuine QCD five-loop calculation of the vacuum polarization functions: analytical terms of order alpha(4)(s)n(2)(f) to the absorptive parts of vector and scalar correlators. These corrections form an important gauge-invariant subset of the full omicron(alpha(4)(s)) correction to e(+)e(-) annihilation into hadrons and the Higgs decay rate into hadrons, respectively. They discriminate between different widely used estimates of the full result.
authors.affiliation: Institute of Nuclear Physics, Moscow State University, Moscow 119899, Russia.
authors.forename: P A
authors.initials: PA
authors.lastname: Baikov
authors.forename: K G
authors.initials: KG
authors.lastname: Chetyrkin
authors.forename: J H
authors.initials: JH
authors.lastname: Kühn