Perturbative determination of cSW with Symanzik improved gauge action and stout smearing

We determine the improvement factor cSW in one-loop lattice perturbation theory for the plaquette and Symanzik improved gauge actions. The fermionic action is O(a) clover improved with onetime stout smearing. cSW is derived from the one-loop correction to the quark-quark-gluon vertex in the off-shell regime. We give a first numerical value for the one-loop contribution to the non gauge-invariant improvement coefficient cNGI for the quark field using the plaquette action. A discussion of mean field improvement is included.