TY - JOUR AU - Ammer, Maximilian AU - Dürr, Stephan TI - Stout smearing and Wilson flow in lattice perturbation theory JO - Physical review / D VL - 110 IS - 5 SN - 2470-0010 CY - Ridge, NY PB - American Physical Society M1 - FZJ-2024-07202 SP - 054504 PY - 2024 AB - We present 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. We show how to apply perturbative stout smearing or Wilson flow to the Feynman rules of any lattice fermion action and illustrate them by calculating the self-energy of the clover-improved Wilson fermion. LB - PUB:(DE-HGF)16 UR - <Go to ISI:>//WOS:001307701800007 DO - DOI:10.1103/PhysRevD.110.054504 UR - https://juser.fz-juelich.de/record/1034421 ER -