  The one-loop determination of the coefficient $c_\text{SW}$ of the Wilson
quark action has been useful to push the leading cut-off effects for on-shell
quantities to $\mathcal{O}(\alpha^2 a)$ and, in conjunction with
non-perturbative determinations of $c_\text{SW}$, to $\mathcal{O}(a^2)$, as
long as no link-smearing is employed. These days it is common practice to
include some overall link-smearing into the definition of the fermion action.
Unfortunately, in this situation only the tree-level value
$c_\text{SW}^{(0)}=1$ is known, and cut-off effects start at
$\mathcal{O}(\alpha a)$. We present some general techniques for calculating one
loop quantities in lattice perturbation theory which continue to be useful for
smeared-link fermion actions. Specifically, we discuss the application to the
1-loop improvement coefficient $c_\text{SW}^{(1)}$ for overall stout-smeared
Wilson fermions.
