Non-singlet vector current in lattice QCD: $\mathrm{O}(a)$-improvement from large volumes
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866915539059736576 |
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| author | Harris, Tim Meyer, Harvey B. |
| author_facet | Harris, Tim Meyer, Harvey B. |
| contents | In previous work, we determined the improvement coefficients $c_\mathrm{V}$ and $c_{\tilde{\mathrm{V}}}$ required for the massless $\mathrm{O}(a)$-improvement of the local and point-split discretizations of the non-singlet vector current for $N_\mathrm{f}=3$ non-perturbatively $\mathrm{O}(a)$-improved Wilson fermions and the Lüscher-Weisz gauge action, using ensembles of large-volume configurations generated by the Coordinated Lattice Simulations (CLS) initiative. A new estimate for the mass-dependent improvement coefficient $\bar{b}_{\mathrm{A}}^\mathrm{eff}$ has recently become available, differing from the one used in our earlier study, and on which our implementation via a massive axial Ward identity relied. Here, we update our analysis of the mass-independent vector improvement coefficients based on the new axial current improvement coefficient, and analyse additional ensembles with a different chiral trajectory in order to validate our results at two values of the bare coupling. We find that using the new estimate of $\bar{b}_{\mathrm{A}}^\mathrm{eff}$ improves the consistency between the two chiral trajectories, as well as with a previous determination of the improvement coefficients directly in the massless limit on small volumes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_06869 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Non-singlet vector current in lattice QCD: $\mathrm{O}(a)$-improvement from large volumes Harris, Tim Meyer, Harvey B. High Energy Physics - Lattice In previous work, we determined the improvement coefficients $c_\mathrm{V}$ and $c_{\tilde{\mathrm{V}}}$ required for the massless $\mathrm{O}(a)$-improvement of the local and point-split discretizations of the non-singlet vector current for $N_\mathrm{f}=3$ non-perturbatively $\mathrm{O}(a)$-improved Wilson fermions and the Lüscher-Weisz gauge action, using ensembles of large-volume configurations generated by the Coordinated Lattice Simulations (CLS) initiative. A new estimate for the mass-dependent improvement coefficient $\bar{b}_{\mathrm{A}}^\mathrm{eff}$ has recently become available, differing from the one used in our earlier study, and on which our implementation via a massive axial Ward identity relied. Here, we update our analysis of the mass-independent vector improvement coefficients based on the new axial current improvement coefficient, and analyse additional ensembles with a different chiral trajectory in order to validate our results at two values of the bare coupling. We find that using the new estimate of $\bar{b}_{\mathrm{A}}^\mathrm{eff}$ improves the consistency between the two chiral trajectories, as well as with a previous determination of the improvement coefficients directly in the massless limit on small volumes. |
| title | Non-singlet vector current in lattice QCD: $\mathrm{O}(a)$-improvement from large volumes |
| topic | High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2510.06869 |