Perturbative QCD relations inspired by hypothetical tau leptons

Details Perturbative QCD relations inspired by hypothetical tau leptons Perturbative QCD relations inspired by hypothetical tau leptons

1999-09-09

arxiv.org/abs/hep-ph/9909311v1

Nucl.Phys.Proc.Suppl.86:216-219,2000

Physics

High Energy Physics

High Energy Physics - Phenomenology

To appear in the proceedings of the QCD 99 Euroconference, 7-13th July 1999 Montpellier, France 4 pages, uses espcrc2.sty (inc

Scientific paper

10.1016/S0920-5632(00)00567-3

We review our recent works on tests of perturbative QCD, inspired by the relation between the hadronic decay of the tau lepton and the e+ e- annihilation into hadrons. First, we present a set of commensurate scale relations that probe the self-consistency of leading-twist QCD predictions for any observable which defines an effective charge. These tests are independent of the renormalization scheme and scale, and are applicable over wide data ranges. As an example we apply this approach to R_{e+ e-}. Second, using a differential form of these conmensurate scale relations, we present a method to measure the QCD Gell-Mann--Low Psi function.

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