Testing QCD with Hypothetical Tau Leptons

Details Testing QCD with Hypothetical Tau Leptons Testing QCD with Hypothetical Tau Leptons

1998-10-20

arxiv.org/abs/hep-ph/9810424v1

Phys.Rev.D60:037501,1999

Physics

High Energy Physics

High Energy Physics - Phenomenology

4 pages, 4 figures

Scientific paper

10.1103/PhysRevD.60.037501

We construct new tests of perturbative QCD by considering a hypothetical tau lepton of arbitrary mass, which decays hadronically through the electromagnetic current. We can explicitly compute its hadronic width ratio directly as an integral over the e^+ e^- annihilation cross section ratio, R_{e^+e^-}. Furthermore, we can design a set of commensurate scale relations and perturbative QCD tests by varying the weight function away from the form associated with the V-A decay of the physical tau. This method allows the wide range of the R_{e^+e^-} data to be used as a probe of perturbative QCD.

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