We calculate the zero-temperature self-energy to fourth order perturbation theory in the Hubbard-interaction U for the half-filled Hubbard model in infinite dimensions. For the Bethe-lattice with bare bandwidth W, we compare our perturbative Results for the self-energy, the single-particle density of states, and the momentum distribution to those from approximate analytical and numerical studies (FE-ED, DDMRG, NRG, IPT, RDA) of the model.
