Analytic Perturbation Theory and Renormalization Scheme Dependence in Tau Decay

Abstract

We apply analytic perturbation theory in next-to-next-to-leading order to inclusive semileptonic $\tau$-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