$η$ and $η'$ mesons from $N_f = 2+1$ lattice QCD at the physical point using topological charge operators
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arXiv
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| Autores principales: | , , , , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866908739210051584 |
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| author | Su, Yue Wang, Nan Gui, Long-cheng Hua, Jun Liang, Jian Shi, Jun |
| author_facet | Su, Yue Wang, Nan Gui, Long-cheng Hua, Jun Liang, Jian Shi, Jun |
| contents | By fitting the two-point correlation functions of topological charge density operators calculated on two $2+1$-flavor gauge ensembles with physical pion mass, we determine both the $η$ and $η'$ masses and also the mixing angle to be $m_η= 0.505(72)(75)$ GeV, $m_{η'}=0.952(47)(40)$ GeV, and $θ_1 = -8.9(2.1)(1.8)^\circ$, respectively, where the first error is the statistical uncertainty and the second one is the systematic uncertainty. This is the first extraction of both $η/η'$ masses and the mixing angle $θ_1$ using topological charge operators. Compared with previous studies using quark bilinear operators, the error of the $η$ mass is relatively large, but the mixing angle has comparable precision. This demonstrates that the topological charge operators are well suited to study the $η$ and $η'$ mesons. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_19775 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | $η$ and $η'$ mesons from $N_f = 2+1$ lattice QCD at the physical point using topological charge operators Su, Yue Wang, Nan Gui, Long-cheng Hua, Jun Liang, Jian Shi, Jun High Energy Physics - Lattice By fitting the two-point correlation functions of topological charge density operators calculated on two $2+1$-flavor gauge ensembles with physical pion mass, we determine both the $η$ and $η'$ masses and also the mixing angle to be $m_η= 0.505(72)(75)$ GeV, $m_{η'}=0.952(47)(40)$ GeV, and $θ_1 = -8.9(2.1)(1.8)^\circ$, respectively, where the first error is the statistical uncertainty and the second one is the systematic uncertainty. This is the first extraction of both $η/η'$ masses and the mixing angle $θ_1$ using topological charge operators. Compared with previous studies using quark bilinear operators, the error of the $η$ mass is relatively large, but the mixing angle has comparable precision. This demonstrates that the topological charge operators are well suited to study the $η$ and $η'$ mesons. |
| title | $η$ and $η'$ mesons from $N_f = 2+1$ lattice QCD at the physical point using topological charge operators |
| topic | High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2505.19775 |