Analytic Perturbation Theory and Renormalization Scheme Dependence in Tau Decay

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We apply analytic perturbation theory in next-to-next-to-leading order to inclusive semileptonic $τ$-decay and study the renormalization scheme dependence. We argue that the renormalization scheme ambiguity is considerably reduced in the analytic perturbation theory framework and we obtain a rather stable theoretical prediction.
11 pages, 1 postscript figure, 1 table, REVTeX

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