One-loop binding corrections to the electron $g$ factor

Abstract

We calculate the one-loop electron self-energy correction of order $\alpha (Z\alpha {)}^5$ to the bound electron $g$ factor. Our result is in agreement with the extrapolated numerical value and paves the way for the calculation of the analogous, but as yet unknown two-loop correction.

4 pages

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Cited by in corpus (9)

• Two-loop binding corrections to the electron gyromagnetic factor
• Theory of the two-loop self-energy correction to the $\mathbf{g}$ factor in non-perturbative Coulomb fields
• QED corrections to the $g$ factor of Li- and B-like ions
• Logarithmically enhanced Euler-Heisenberg Lagrangian contribution to the electron gyromagnetic factor
• Self-energy screening effects in the $g$ factor of Li-like ions
• Access to improve the muon mass and magnetic moment anomaly via the bound-muon $g$ factor
• Hadronic vacuum polarization correction to the bound-electron $g$ factor
• An analysis of Bayesian estimates for missing higher orders in perturbative calculations
• Fermion selective tests of new physics with the bound electron g-factor