SAMOP 2021 – wissenschaftliches Programm
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A: Fachverband Atomphysik
A 2: Precision spectroscopy of atoms and ions (joint session A/Q)
A 2.17: Poster
Montag, 20. September 2021, 16:30–18:30, P
Two-loop QED corrections to the bound-electron g-factor: M-term — •Bastian Sikora1, Vladimir A. Yerokhin2, Christoph H. Keitel1, and Zoltán Harman1 — 1Max-Planck-Institut für Kernphysik, Heidelberg, Germany — 2Center for Advanced Studies, Peter the Great St. Petersburg Polytechnic University, 195251 St. Petersburg, Russia
The theoretical uncertainty of the bound-electron g-factor in high-Z hydrogenlike ions is dominated by uncalculated Feynman diagrams with two self-energy loops. In our previous study, we have obtained full results for the loop-after-loop diagrams, and partial results for the nested and overlapping loop diagrams by taking into acount the Coulomb interaction in intermediate states to zero and first order [1].
In this work, we present our results for the so-called M-term contribution. This corresponds to the ultraviolet finite part of nested and overlapping loop diagrams in which the Coulomb interaction in intermediate states is taken into account to all orders.
Our results will be highly relevant for planned near future tests of QED in high-Z ions as well as for an independent determination of the fine-structure constant α from the bound-electron g-factor.
[1] B. Sikora, V. A. Yerokhin, N. S. Oreshkina et al., Phys. Rev. Research 2, 012002(R) (2020).