Stout-smearing, gradient flow and $c_{\text{SW}}$ at one loop order
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arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2021
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| _version_ | 1866929243552743424 |
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| author | Ammer, Maximilian Durr, Stephan |
| author_facet | Ammer, Maximilian Durr, Stephan |
| contents | The one-loop determination of the coefficient $c_\text{SW}$ of the Wilson quark action has been useful to push the leading cut-off effects for on-shell quantities to $\mathcal{O}(α^2 a)$ and, in conjunction with non-perturbative determinations of $c_\text{SW}$, to $\mathcal{O}(a^2)$, as long as no link-smearing is employed. These days it is common practice to include some overall link-smearing into the definition of the fermion action. Unfortunately, in this situation only the tree-level value $c_\text{SW}^{(0)}=1$ is known, and cut-off effects start at $\mathcal{O}(αa)$. We present some general techniques for calculating one loop quantities in lattice perturbation theory which continue to be useful for smeared-link fermion actions. Specifically, we discuss the application to the 1-loop improvement coefficient $c_\text{SW}^{(1)}$ for overall stout-smeared Wilson fermions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2109_14562 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Stout-smearing, gradient flow and $c_{\text{SW}}$ at one loop order Ammer, Maximilian Durr, Stephan High Energy Physics - Lattice The one-loop determination of the coefficient $c_\text{SW}$ of the Wilson quark action has been useful to push the leading cut-off effects for on-shell quantities to $\mathcal{O}(α^2 a)$ and, in conjunction with non-perturbative determinations of $c_\text{SW}$, to $\mathcal{O}(a^2)$, as long as no link-smearing is employed. These days it is common practice to include some overall link-smearing into the definition of the fermion action. Unfortunately, in this situation only the tree-level value $c_\text{SW}^{(0)}=1$ is known, and cut-off effects start at $\mathcal{O}(αa)$. We present some general techniques for calculating one loop quantities in lattice perturbation theory which continue to be useful for smeared-link fermion actions. Specifically, we discuss the application to the 1-loop improvement coefficient $c_\text{SW}^{(1)}$ for overall stout-smeared Wilson fermions. |
| title | Stout-smearing, gradient flow and $c_{\text{SW}}$ at one loop order |
| topic | High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2109.14562 |