Renormalization Scheme and Higher Loop Stability in Hadronic $τ$ Decay within Analytic Perturbation Theory

Details Renormalization Scheme and Higher Loop Stability in Hadronic $τ$ Decay within Analytic Perturbation Theory Renormalization Scheme and Higher Loop Stability in Hadronic $τ$ Decay within Analytic Perturbation Theory

2000-03-03

arxiv.org/abs/hep-ph/0003030v1

Eur.Phys.J.C14:495-501,2000

Physics

High Energy Physics

High Energy Physics - Phenomenology

15 pages, 2 eps figures, revtex

Scientific paper

10.1007/s100520000370

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.

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