Self-consistent self-energy analysis of photoemission data

Here 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.