Testing QCD with Hypothetical Tau Leptons

Abstract

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.

4 pages, 4 figures

References in corpus (3)

• B decays in the upsilon expansion
• Finite Energy Chiral Sum Rules and Tau Spectral Functions
• An Analytic Extension of the $\overline{MS}$ Renormalizaton Scheme

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• Strong coupling constant from $\tau$ decay within renormalization scheme invariant treatment
• Resummation of the hadronic tau decay width with the modified Borel transform method
• Scale- and scheme-independent extension of Pade approximants; Bjorken polarized sum rule as an example
• Spectral moments of two-point correlators in perturbation theory and beyond
• AdS/CFT and QCD
• Measuring the QCD Gell Mann-Low $\Psi$-function