2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/47661We 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, REVTeXHigh Energy Physics - Phenomenologytext