  In this work we present a multi-orbital form of the Two-Particle
Self-Consistent approach (TPSC), here the effective local and static
irreducible interaction vertices are determined by means of the Dynamical
Mean-Field Theory (DMFT). This approach replaces the approximate ansatz
equations for the double occupations $\langle
n^{}_{\alpha,\sigma}n^{}_{\beta,\sigma'}\rangle$ by sampling them directly for
the same model using DMFT. Compared to the usual Hartree-Fock like ansatz, this
leads to more accurate local vertices in the weakly correlated regime, and
provides access to stronger correlated systems that were previously out of
reach. This approach is extended by replacing the local component of the TPSC
self-energy by the DMFT impurity self-energy, which results in an improved
self-energy that incorporates strong local correlations but retains a
non-trivial momentum-dependence. We find that this combination of TPSC and DMFT
provides a significant improvement over the multi-orbital formulation of
multi-orbital TPSC, as it allows to determine the components of the spin vertex
without artificial symmetry assumptions, and opens the possibility to include
the transversal particle-hole channel. The new approach is also able to remove
unphysical divergences in the charge vertices in TPSC. We find a general trend
that lower temperatures can be accessed in the calculation. Benchmarking
single-particle quantities such as the local spectral function with other
many-body methods we find significant improvement in the more strongly
correlated regime.
