The isoscalar non-singlet axial form factor of the nucleon from lattice QCD
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arXiv
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| Autores principales: | , , , , , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866915144595931136 |
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| author | Barone, Alessandro Djukanovic, Dalibor von Hippel, Georg Koponen, Jonna Meyer, Harvey B. Ottnad, Konstantin Wittig, Hartmut |
| author_facet | Barone, Alessandro Djukanovic, Dalibor von Hippel, Georg Koponen, Jonna Meyer, Harvey B. Ottnad, Konstantin Wittig, Hartmut |
| contents | We present our progress on the computation of the axial form factor of the nucleon with flavour structure $u+d-2s$ from lattice QCD. We employ a set of $N_f=2+1$ CLS ensembles with $O(a)$-improved Wilson fermions and the Lüscher-Weisz gauge action, with lattice spacings ranging from $0.05\,\text{fm}$ to $0.086\,\text{fm}$ and pion masses spanning between $130\,\text{MeV}$ and $350\,\text{MeV}$. We employ multiple source-sink separations and use the summation method to suppress the contamination from excited states. We use a $z$-expansion on each ensemble to parametrize the $Q^2$-dependence of the form factor and simultaneously fit the available source-sink separations for all $Q^2\leq 0.7 \,{\rm GeV}^2$. We outline our analysis of the stability of the fits varying the ansätze and different estimations of the covariance matrix and report on our strategy for a comprehensive determination of the physical form factor. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_06305 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The isoscalar non-singlet axial form factor of the nucleon from lattice QCD Barone, Alessandro Djukanovic, Dalibor von Hippel, Georg Koponen, Jonna Meyer, Harvey B. Ottnad, Konstantin Wittig, Hartmut High Energy Physics - Lattice We present our progress on the computation of the axial form factor of the nucleon with flavour structure $u+d-2s$ from lattice QCD. We employ a set of $N_f=2+1$ CLS ensembles with $O(a)$-improved Wilson fermions and the Lüscher-Weisz gauge action, with lattice spacings ranging from $0.05\,\text{fm}$ to $0.086\,\text{fm}$ and pion masses spanning between $130\,\text{MeV}$ and $350\,\text{MeV}$. We employ multiple source-sink separations and use the summation method to suppress the contamination from excited states. We use a $z$-expansion on each ensemble to parametrize the $Q^2$-dependence of the form factor and simultaneously fit the available source-sink separations for all $Q^2\leq 0.7 \,{\rm GeV}^2$. We outline our analysis of the stability of the fits varying the ansätze and different estimations of the covariance matrix and report on our strategy for a comprehensive determination of the physical form factor. |
| title | The isoscalar non-singlet axial form factor of the nucleon from lattice QCD |
| topic | High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2502.06305 |