2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/24898Here we present the details of a self-consistent procedure of the photoemission data analysis within the self-energy approach introduced in Ref.1 (cond-mat/0405696). We derive the relations of the quasiparticle self-energy with the parameters provided by photoemission spectra, demonstrate self-consistency of the Kramers-Kronig procedure and its robustness in determination of the bare dispersion, examine the possible influence of a particle-hole asymmetry, discuss the necessity of a clear definition of the "kink", and demonstrate the applicability of the developed approach for a couple of samples.7 pages, 6 figures, revtex4Strongly Correlated ElectronsSuperconductivitytext