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Theory of the two-loop self-energy correction to the g factor in nonperturbative Coulomb fields

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Sikora,  Bastian
Division Prof. Dr. Christoph H. Keitel, MPI for Nuclear Physics, Max Planck Society;

Yerokhin,  V. A.
Division Prof. Dr. Christoph H. Keitel, MPI for Nuclear Physics, Max Planck Society;
Center for Advanced Studies, Peter the Great St. Petersburg Polytechnic University, 195251 St. Petersburg, Russia;

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Oreshkina,  Natalia S.
Division Prof. Dr. Christoph H. Keitel, MPI for Nuclear Physics, Max Planck Society;

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Cakir,  Halil
Division Prof. Dr. Christoph H. Keitel, MPI for Nuclear Physics, Max Planck Society;

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Keitel,  Christoph H.
Division Prof. Dr. Christoph H. Keitel, MPI for Nuclear Physics, Max Planck Society;

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Harman,  Zoltan
Division Prof. Dr. Christoph H. Keitel, MPI for Nuclear Physics, Max Planck Society;

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1804.05733.pdf
(Preprint), 485KB

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Citation

Sikora, B., Yerokhin, V. A., Oreshkina, N. S., Cakir, H., Keitel, C. H., & Harman, Z. (2020). Theory of the two-loop self-energy correction to the g factor in nonperturbative Coulomb fields. Physical Review Research, 2(1): 012002(R). doi:10.1103/PhysRevResearch.2.012002.


Cite as: https://hdl.handle.net/21.11116/0000-0005-9B2C-C
Abstract
Two-loop self-energy corrections to the bound-electron $g$ factor are
investigated theoretically to all orders in the nuclear binding strength
parameter $Z\alpha$. The separation of divergences is performed by dimensional
regularization, and the contributing diagrams are regrouped into specific
categories to yield finite results. We evaluate numerically the loop-after-loop
terms, and the remaining diagrams by treating the Coulomb interaction in the
electron propagators up to first order. The results show that such two-loop
terms are mandatory to take into account for projected near-future stringent
tests of quantum electrodynamics and for the determination of fundamental
constants through the $g$ factor.