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Improved Bound-Electron g-Factor Theory through Complete Two-Loop QED Calculations.

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We precisely calculated two-loop self-energy corrections for hydrogenlike ions, improving the accuracy of the electron g factor. This advancement enables more rigorous tests of quantum electrodynamics and searches for new physics.

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Area of Science:

  • Atomic physics
  • Quantum electrodynamics (QED)
  • High-precision calculations

Background:

  • The electron g factor in hydrogenlike ions is crucial for testing fundamental physics.
  • Previous calculations of two-loop self-energy corrections were limited by an expansion in Zα.
  • High precision is needed to probe QED and search for new physics.

Purpose of the Study:

  • To perform an all-order calculation of the two-loop self-energy correction to the bound-electron g factor.
  • To include the electron-nucleus interaction exactly in the calculation.
  • To improve the theoretical accuracy of the g factor for hydrogenlike ions.

Main Methods:

  • Exact calculation of the electron-nucleus interaction.
  • All-order evaluation of two-loop self-energy corrections.
  • Application to the hydrogenlike ^{118}Sn^{49+} ion.

Main Results:

  • Calculated the missing parts of the two-loop self-energy correction exactly in Zα.
  • Improved the theoretical accuracy of the g factor for ^{118}Sn^{49+} by nearly an order of magnitude.
  • Achieved an 8-fold increase in accuracy for the theoretical g factor value.

Conclusions:

  • The all-order calculation provides a more accurate theoretical value for the g factor.
  • Enhanced accuracy facilitates more stringent tests of quantum electrodynamics.
  • Opens avenues for exploring new physics in strong electromagnetic fields.