  While in strongly correlated materials one often focuses on local electronic
correlations, the influence of non-local exchange and correlation effects
beyond band-theory can be pertinent in systems with more extended orbitals.
Thus in many compounds an adequate theoretical description requires the joint
treatment of local and non-local self-energies. Here, I will argue that this is
the case for the iron pnictide and chalcogenide superconductors. As an approach
to tackle their electronic structure, I will detail the implementation of the
recently proposed scheme that combines the quasi-particle self-consistent GW
approach with dynamical mean-field theory: QSGW+DMFT. I will showcase the
possibilities of QSGW+DMFT with an application on BaFe2As2. Further, I will
discuss the empirical finding that in pnictides dynamical and non-local
correlation effects separate within the quasi-particle band-width.
