  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.
