Neutral pion polarizabilities from four-point functions in lattice QCD
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arXiv
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| Autores principales: | , , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866910643424067584 |
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| author | Lee, Frank X. Wilcox, Walter Alexandru, Andrei Culver, Chris Nadeem, Shayan |
| author_facet | Lee, Frank X. Wilcox, Walter Alexandru, Andrei Culver, Chris Nadeem, Shayan |
| contents | We report a proof-of-principle lattice QCD simulation of the electric and magnetic polarizabilities for a neutral pion in the four-point function method. The results are based on the same quenched Wilson ensembles on a $24^3\times 48$ lattice at $β=6.0$ with pion mass from 1100 to 370 MeV previously used for a charged pion. For electric polarizability, the results are largely consistent with those from the background field method and ChPT. In contrast, there are significant differences for magnetic polarizability among the four-point function method, the background field method, and ChPT. The situation points to the potentially important role of disconnected diagrams for a neutral pion. We elucidate a transparent quark decomposition in the four-point function method that can be used to shed light on the issue. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_13388 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Neutral pion polarizabilities from four-point functions in lattice QCD Lee, Frank X. Wilcox, Walter Alexandru, Andrei Culver, Chris Nadeem, Shayan High Energy Physics - Lattice High Energy Physics - Phenomenology Nuclear Theory We report a proof-of-principle lattice QCD simulation of the electric and magnetic polarizabilities for a neutral pion in the four-point function method. The results are based on the same quenched Wilson ensembles on a $24^3\times 48$ lattice at $β=6.0$ with pion mass from 1100 to 370 MeV previously used for a charged pion. For electric polarizability, the results are largely consistent with those from the background field method and ChPT. In contrast, there are significant differences for magnetic polarizability among the four-point function method, the background field method, and ChPT. The situation points to the potentially important role of disconnected diagrams for a neutral pion. We elucidate a transparent quark decomposition in the four-point function method that can be used to shed light on the issue. |
| title | Neutral pion polarizabilities from four-point functions in lattice QCD |
| topic | High Energy Physics - Lattice High Energy Physics - Phenomenology Nuclear Theory |
| url | https://arxiv.org/abs/2408.13388 |