  Cluster dynamical mean field methods are used to calculate the normal and
anomalous components of the electron self energy of the two dimensional Hubbard
model. From these the evolution of the superconducting gap and the momentum
dependent photoemission and inverse photoemission spectra across the phase
diagram are determined. In the pseudogap regime, decreasing the temperature
into the superconducting state leads to a decrease in the energy gap and the
formation of a `peak-dip-hump' structure in the electronic density of states.
The peak feature disperses very weakly. The calculated spectral functions are
in good qualitative agreement with published data. The mathematical origin of
the behavior is found to be the effect of the superconductivity on the pole
structure giving rise to the normal state pseudogap. In particular the "hump"
feature is found to arise from a zero crossing of the real part of the electron
self energy rather than from an onset of scattering. The effect of
superconductivity on the zone diagonal spectra is presented.
