Two-loop electron self-energy in bound-electron g factor: diagrams in momentum-coordinate representation

Abstract:

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   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   (where   is the nuclear charge number and   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.

V. A. Yerokhin, B. Sikora, Z. Harman, C. H. Keitel, „Two-loop electron self-energy in boundelectron
g factor: diagrams in momentum-coordinate representation“, 11. Nov. 2025, arXiv:2511.08122 (2025).

https://arxiv.org/abs/2511.08122

Related to Project B02