  We study the spectral function of the homogeneous electron gas using
many-body perturbation theory and the cumulant expansion. We compute the
angle-resolved spectral function based on the GW approximation and the `GW plus
cumulant' approach. In agreement with previous studies, the GW spectral
function exhibits a spurious plasmaron peak at energies 1.5$\omega_{\rm pl}$
below the quasiparticle peak, $\omega_{\rm pl}$ being the plasma energy. The GW
plus cumulant approach, on the other hand, reduces significantly the intensity
of the plasmon-induced spectral features and renormalizes their energy relative
to the quasiparticle energy to $\omega_{\rm pl}$. Consistently with previous
work on semiconductors, our results show that the HEG is characterized by the
emergence of plasmonic polaron bands, that is, broadened replica of the
quasiparticle bands, red-shifted by the plasmon energy.
