2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/40308We present an analysis of the two-loop amplitude of the muon decay in the Standard Model (SM) using algebraic renormalization techniques. In addition, we discuss a manifestly BRST invariant IR regulator for the photon within the SM.14 pages, LaTeX, 2 figures. Based on an invited talk at 5th International Symposium on Radiative Corrections (RADCOR-2000), Carmel CA, USA, 11--15 September, 2000; to appear in the ProceedingsHigh Energy Physics - Phenomenologytext