2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/207886In this paper we reformulate the dilaton-gravity theory of Callan \etal\ as a new effective conformal field theory which turns out to be a generalization of the so-called $SL_2$-conformal affine Toda (CAT) theory studied some times ago by Babelon and Bonora. We quantize this model, thus keeping in account the dilaton-gravity quantum effects. We then implement a Renormalization Group analysis to study the black hole thermodynamics and the final state of the Hawking evaporation.15 pages, phyzzx, ROM-2F-92-52High Energy Physics - Theorytext