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We construct models of analytic QCD (i.e.,with the running coupling parameterfree of Landau singularities) which address several problems encountered inprevious analytic QCD models, among them their incompatibility with theITEP-OPE philosophy (due to UV power terms) and too low values of thesemihadronic tau decay ratio. The starting point of the approach is theconstruction of appropriate nonperturbative beta functions.

Analytic QCD coupling with no power terms in UV regime