Renormalization scheme and higher loop stability in hadronic \(\tau\) decay within analytic perturbation theory
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We apply an analytic description to the inclusive decay of the \(\tau\) lepton. We argue that this method gives not only a self-consistent description of the process both in the timelike region by using the initial expression for \(R_\tau\) and in the spacelike domain by using the analytic properties of the hadronic correlator, but also leads to the fact that theoretical uncertainties associated with unknown higher-loop contributions and renormalization scheme dependence can be reduced dramatically.
KeywordsPerturbation Theory Analytic Description Analytic Property Analytic Perturbation Theoretical Uncertainty
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