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_
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