Speaker
Description
I present a sketch of the paper arXiv:2406.03493 (published in PRD) by Max Ammer and myself. It gives the expansion of stout smearing and the Wilson flow in lattice perturbation theory to order g_0^3, which is suitable for one-loop calculations. As the Wilson flow is generated by infinitesimal stout smearing steps, the results are related to each other by taking the appropriate limits. This yields a useful recipe for how to apply perturbative stout smearing or Wilson flow to the Feynman rules of a given lattice fermion action. This is illustrated through the self-energies of the clover-improved Wilson and Brillouin fermions. Also the upgrade of the 1-loop calculation of c_{SW} for Wilson and Brillouin fermions to stout smearing or Wilson flow will be briefly discussed. Time permitting, a few words on a non-perturbative calculation of the topological susceptibility with stout smearing and/or gradient flow, together with Gianluca Fuwa, may be added.
