Lattice perturbation theory of Brillouin fermions, Stout smearing, and Wilson flow and its application to the fermion self-energy and c SW at one-loop order

In this thesis the Feynman rules of the Brillouin action are derived. Furthermore stout smearing and the gradient flow of the Wilson gauge action are perturbatively expanded to order $g_0 3$. It is shown how to include perturbative stout smearing or the Wilson flow in the Feynman rules of a fermion action. These are then applied to the one-loop calculations of the fermion self energy and the clover improvement coefficient $c_