One-loop $c_\mathrm{SW}$ for Wilson and Brillouin fermions with stout smearing or Wilson flow
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866908774245072896 |
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| author | Ammer, Maximilian Durr, Stephan |
| author_facet | Ammer, Maximilian Durr, Stephan |
| contents | We present results for the one-loop value of the improvement coefficient $c_\mathrm{SW}$ for Wilson and Brillouin fermions subject to stout smearing or Wilson flow, in combination with Wilson or Symanzik glue. To this end we use a recently developed method that allows one to modify an existing perturbative calculation, like the one for $c_\mathrm{SW}^{(1)}$, to include stout smearing or Wilson flow at arbitrary stout parameters ($\varrho$, $n_\mathrm{stout}$) or flow times $t/a^2$, respectively. Our results indicate that already a small amount of smoothing makes the perturbative series well behaved, suggesting that a non-perturbatively determined $c_\mathrm{SW}$ might be close to its one-loop value for couplings $g_0^2\simeq 1$. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2601_12568 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | One-loop $c_\mathrm{SW}$ for Wilson and Brillouin fermions with stout smearing or Wilson flow Ammer, Maximilian Durr, Stephan High Energy Physics - Lattice We present results for the one-loop value of the improvement coefficient $c_\mathrm{SW}$ for Wilson and Brillouin fermions subject to stout smearing or Wilson flow, in combination with Wilson or Symanzik glue. To this end we use a recently developed method that allows one to modify an existing perturbative calculation, like the one for $c_\mathrm{SW}^{(1)}$, to include stout smearing or Wilson flow at arbitrary stout parameters ($\varrho$, $n_\mathrm{stout}$) or flow times $t/a^2$, respectively. Our results indicate that already a small amount of smoothing makes the perturbative series well behaved, suggesting that a non-perturbatively determined $c_\mathrm{SW}$ might be close to its one-loop value for couplings $g_0^2\simeq 1$. |
| title | One-loop $c_\mathrm{SW}$ for Wilson and Brillouin fermions with stout smearing or Wilson flow |
| topic | High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2601.12568 |