The Cross Section of e+ e- Annihilation into Hadrons of Order alphas4 nf2 in Perturbative QCD

Abstract

We present the first genuine QCD five-loop calculation of the vacuum polarization functions: analytical terms of order alphas4 nf2 to the absorptive parts of vector and scalar correlators. These corrections form an important gauge-invariant subset of the full O(alphas4) 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.

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