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@ARTICLE{Ammer:1034421,
      author       = {Ammer, Maximilian and Dürr, Stephan},
      title        = {{S}tout smearing and {W}ilson flow in lattice perturbation
                      theory},
      journal      = {Physical review / D},
      volume       = {110},
      number       = {5},
      issn         = {2470-0010},
      address      = {Ridge, NY},
      publisher    = {American Physical Society},
      reportid     = {FZJ-2024-07202},
      pages        = {054504},
      year         = {2024},
      abstract     = {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.},
      cin          = {JSC},
      ddc          = {530},
      cid          = {I:(DE-Juel1)JSC-20090406},
      pnm          = {5111 - Domain-Specific Simulation $\&$ Data Life Cycle Labs
                      (SDLs) and Research Groups (POF4-511)},
      pid          = {G:(DE-HGF)POF4-5111},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:001307701800007},
      doi          = {10.1103/PhysRevD.110.054504},
      url          = {https://juser.fz-juelich.de/record/1034421},
}