  The recently deduced normal and anomalous self-energies from photoemission
spectra of cuprate superconductors via the machine learning technique are
calling for an explanation. Here the normal and anomalous self-energies in
cuprate superconductors are analyzed within the framework of the
kinetic-energy-driven superconductivity. It is shown that the exchanged spin
excitations give rise to the well-pronounced low-energy peak-structures in both
the normal and anomalous self-energies, however, they do not cancel in the
total self-energy. In particular, the peak-structure in the normal self-energy
is mainly responsible for the peak-dip-hump structure in the single-particle
excitation spectrum, and can persist into the normal-state, while the sharp
peak in the anomalous self-energy gives rise to a crucial contribution to the
superconducting gap, and vanishes in the normal-state. Moreover, the evolution
of the peak-structure with doping and momentum are also analyzed.
