Improved bound-electron g-factor theory through complete two-loop QED calculations
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866916713699737600 |
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| author | Sikora, Bastian Yerokhin, Vladimir A. Keitel, Christoph H. Harman, Zoltán |
| author_facet | Sikora, Bastian Yerokhin, Vladimir A. Keitel, Christoph H. Harman, Zoltán |
| contents | The two-loop self-energy correction to the bound-electron $g$-factor in hydrogenlike ions is investigated, taking into account the electron-nucleus interaction exactly. This all-order calculation is required to improve the total theoretical uncertainty of the $g$-factor, which is limited by the fact that two-loop self-energy corrections have only been calculated so far in the form of an expansion in $Zα$. Here, $Z$ is the nuclear charge number and $α$ is the fine-structure constant. In this work, we report calculations of the last missing parts of the total two-loop self-energy correction, exactly in $Zα$. We apply our theory to the recently measured $g$-factor of the hydrogenlike $^{118}$Sn$^{49+}$ ion [J. Morgner et al., Nature 622, 53 (2023)] and, with a factor of 8, improve the accuracy of its state-of-the-art theoretical value by almost one order of magnitude, enabling more detailed tests of quantum electrodynamics and new physics in strong fields. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_10421 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Improved bound-electron g-factor theory through complete two-loop QED calculations Sikora, Bastian Yerokhin, Vladimir A. Keitel, Christoph H. Harman, Zoltán Atomic Physics The two-loop self-energy correction to the bound-electron $g$-factor in hydrogenlike ions is investigated, taking into account the electron-nucleus interaction exactly. This all-order calculation is required to improve the total theoretical uncertainty of the $g$-factor, which is limited by the fact that two-loop self-energy corrections have only been calculated so far in the form of an expansion in $Zα$. Here, $Z$ is the nuclear charge number and $α$ is the fine-structure constant. In this work, we report calculations of the last missing parts of the total two-loop self-energy correction, exactly in $Zα$. We apply our theory to the recently measured $g$-factor of the hydrogenlike $^{118}$Sn$^{49+}$ ion [J. Morgner et al., Nature 622, 53 (2023)] and, with a factor of 8, improve the accuracy of its state-of-the-art theoretical value by almost one order of magnitude, enabling more detailed tests of quantum electrodynamics and new physics in strong fields. |
| title | Improved bound-electron g-factor theory through complete two-loop QED calculations |
| topic | Atomic Physics |
| url | https://arxiv.org/abs/2410.10421 |