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  • Letter
  • Open Access

Two-loop virtual light-by-light scattering corrections to the bound-electron g factor

V. Debierre1,*, B. Sikora1, H. Cakir1, N. S. Oreshkina1, V. A. Yerokhin1,2, C. H. Keitel1, and Z. Harman1

  • 1Max Planck Institute for Nuclear Physics, Saupfercheckweg 1, D-69117 Heidelberg, Germany
  • 2Center for Advanced Studies, Peter the Great St. Petersburg Polytechnic University, 195251 St. Petersburg, Russia

  • *vincent.debierre@mpi-hd.mpg.de
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Phys. Rev. A 103, L030802 – Published 10 March, 2021

DOI: https://doi.org/10.1103/PhysRevA.103.L030802

Abstract

A critical set of two-loop quantum electrodynamics corrections to the g factor of hydrogenlike ions is calculated in the Furry picture. These corrections are due to the polarization of the external magnetic field by the quantum vacuum, which is dressed by the binding field. The result obtained for the self-energy–magnetic-loop diagrams is compared with the current state-of-the-art result, derived through a perturbative expansion in the binding strength parameter Zα, with Z the atomic number and α the fine-structure constant. Agreement is found in the Z→0 limit. However, even for very light ions, the perturbative result fails to approximate the magnitude of the corresponding correction to the g factor. The total correction to the g factor coming from all diagrams considered in this work is found to be highly relevant for upcoming experimental tests of fundamental physics with highly charged ions.

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Outline

Information

Phys. Rev. A 103, L030802– Published 10 March, 2021
  • Received 23 July 2020
  • Revised 23 November 2020
  • Accepted 17 February 2021
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Open access publication funded by the Max Planck Society.

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