Saved in:
| Main Authors: | , , , , , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2401.05791 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866913192140079104 |
|---|---|
| author | Brida, Mattia Dalla Höllwieser, Roman Knechtli, Francesco Korzec, Tomasz Ramos, Alberto Sint, Stefan Sommer, Rainer |
| author_facet | Brida, Mattia Dalla Höllwieser, Roman Knechtli, Francesco Korzec, Tomasz Ramos, Alberto Sint, Stefan Sommer, Rainer |
| contents | Close to the continuum limit, lattice QCD with mass-degenerate Wilson quarks can be described by Symanzik's effective continuum action, which contains the dimension 5 operator, $m\,{\rm tr}(F_{μν}F_{μν})$. Its effect can be eliminated by an O($am_{\rm q}$) rescaling of the bare lattice coupling constant. Until recently, the corresponding improvement coefficient, $b_{\rm g}$, was only known perturbatively to 1-loop order and an estimate of the remaining uncertainty is the dominant systematic error in the ALPHA collaboration's recent determination of $α_s(m_Z)$ with the decoupling method. To remove this error we have determined $b_{\rm g}$ non-perturbatively for the corresponding parameter range. We here briefly review improvement conditions for $b_{\rm g}$, perform a perturbative test and report on our non-perturbative results for $b_{\rm g}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_05791 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A non-perturbative determination of $b_{\rm g}$ Brida, Mattia Dalla Höllwieser, Roman Knechtli, Francesco Korzec, Tomasz Ramos, Alberto Sint, Stefan Sommer, Rainer High Energy Physics - Lattice Close to the continuum limit, lattice QCD with mass-degenerate Wilson quarks can be described by Symanzik's effective continuum action, which contains the dimension 5 operator, $m\,{\rm tr}(F_{μν}F_{μν})$. Its effect can be eliminated by an O($am_{\rm q}$) rescaling of the bare lattice coupling constant. Until recently, the corresponding improvement coefficient, $b_{\rm g}$, was only known perturbatively to 1-loop order and an estimate of the remaining uncertainty is the dominant systematic error in the ALPHA collaboration's recent determination of $α_s(m_Z)$ with the decoupling method. To remove this error we have determined $b_{\rm g}$ non-perturbatively for the corresponding parameter range. We here briefly review improvement conditions for $b_{\rm g}$, perform a perturbative test and report on our non-perturbative results for $b_{\rm g}$. |
| title | A non-perturbative determination of $b_{\rm g}$ |
| topic | High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2401.05791 |