Two-loop electron self-energy in bound-electron $g$ factor: diagrams in momentum-coordinate representation
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| Main Authors: | , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866914181513478144 |
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| author | Yerokhin, V. A. Sikora, B. Harman, Z. Keitel, C. H. |
| author_facet | Yerokhin, V. A. Sikora, B. Harman, Z. Keitel, C. H. |
| contents | The two-loop electron self-energy correction is one of the most problematic QED effects and, for a long time, was the dominant source of uncertainty in the theoretical prediction of the bound-electron $g$ factor in hydrogen-like ions. A major breakthrough was recently achieved in [B. Sikora et al. Phys. Rev. Lett. 134, 123001 (2025)], where this effect was calculated without any expansion in the nuclear binding strength parameter $Zα$ (where $Z$ is the nuclear charge number and $α$ is the fine-structure constant). In this paper, we describe our calculations of one of the most difficult parts of the two-loop self-energy, represented by Feynman diagrams that are treated in the mixed momentum-coordinate representation. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2511_08122 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Two-loop electron self-energy in bound-electron $g$ factor: diagrams in momentum-coordinate representation Yerokhin, V. A. Sikora, B. Harman, Z. Keitel, C. H. Atomic Physics The two-loop electron self-energy correction is one of the most problematic QED effects and, for a long time, was the dominant source of uncertainty in the theoretical prediction of the bound-electron $g$ factor in hydrogen-like ions. A major breakthrough was recently achieved in [B. Sikora et al. Phys. Rev. Lett. 134, 123001 (2025)], where this effect was calculated without any expansion in the nuclear binding strength parameter $Zα$ (where $Z$ is the nuclear charge number and $α$ is the fine-structure constant). In this paper, we describe our calculations of one of the most difficult parts of the two-loop self-energy, represented by Feynman diagrams that are treated in the mixed momentum-coordinate representation. |
| title | Two-loop electron self-energy in bound-electron $g$ factor: diagrams in momentum-coordinate representation |
| topic | Atomic Physics |
| url | https://arxiv.org/abs/2511.08122 |