Two-loop binding corrections to the electron gyromagnetic factor

Abstract

We compute corrections to the gyromagnetic factor of an electron bound in a hydrogen-like ion at order alpha^2(Z alpha)^5. This result removes a major uncertainty in predictions for silicon and carbon ions, used to determine the atomic mass of the electron.

References in corpus (37)

• Search for New Physics with Atoms and Molecules
• CODATA Recommended Values of the Fundamental Physical Constants: 2014
• Hadronic contribution to the muon anomalous magnetic moment to next-to-next-to-leading order
• The analytical value of the electron (g-2) at order alpha^3 in QED
• Tenth-Order QED Contribution to the Electron g-2 and an Improved Value of the Fine Structure Constant
• FIRE5: a C++ implementation of Feynman Integral REduction
• High-precision measurement of the atomic mass of the electron
• Electroweak corrections to the muon anomalous magnetic moment
• High-precision calculation of the 4-loop contribution to the electron g-2 in QED
• Complete two-loop correction to the bound-electron g factor
• Recoil correction to the bound-electron g factor in H-like atoms to all orders in $\alpha Z$
• Self-energy correction to the bound-electron g factor in H-like ions
• CORRECTIONS OF ORDER ${\alpha }^2(Z\alpha {)}^5$ TO HYPERFINE SPLITTING AND LAMB SHIFT
• Two-loop self-energy correction in high-Z hydrogen-like ions
• g factor of lithiumlike silicon 28Si11+
• Evaluation of the self-energy correction to the g-factor of S states in H-like ions
• Nonrelativistic QED approach to the bound-electron g factor
• The electron mass from $g$-factor measurements on hydrogen-like carbon ${}^{12}$C${}^{5+}$
• The $g$-factor of light ions for an improved determination of the fine-structure constant
• Virtual light-by-light scattering and the g factor of a bound electron
• Two-loop self-energy contribution to the Lamb shift in H-like ions
• Nuclear-polarization correction to the bound-electron g factor in heavy hydrogenlike ions
• Hadronic contributions to the anomalous magnetic moment of the electron and the hyperfine splitting of muonium
• Anomalous magnetic moment of a bound electron
• Extraction of the electron mass from $g$ factor measurements on light hydrogenlike ions
• Gyromagnetic Ratios of Bound Particles
• Light-by-light scattering in the Lamb shift and the bound electron g factor
• Two-loop QED corrections with closed fermion loops for the bound-electron g factor
• Delbruck scattering and the g-factor of a bound electron
• Mass Measurements and the Bound--Electron g Factor
• One-loop electron self-energy for the bound-electron $g$ factor
• Nuclear Shape Effect on the g Factor of Hydrogenlike Ions
• Binding two-loop vacuum-polarization corrections to the bound-electron g factor
• Weighted difference of g-factors of light Li-like and H-like ions for an improved determination of the fine-structure constant
• Radiative-nonrecoil corrections of order alpha^2 (Z alpha)^5 to the Lamb shift
• Nuclear-size self-energy and vacuum-polarization corrections to the bound-electron g factor
• One-loop binding corrections to the electron $g$ factor

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• Theory of the two-loop self-energy correction to the $\mathbf{g}$ factor in non-perturbative Coulomb fields
• Nuclear recoil effect on the g factor of highly charged Li-like ions
• QED corrections to the $g$ factor of Li- and B-like ions
• g Factor of Lithiumlike Silicon and Calcium: Resolving the Disagreement between Theory and Experiment
• Logarithmically enhanced Euler-Heisenberg Lagrangian contribution to the electron gyromagnetic factor
• Testing Standard Model extensions with few-electron ions
• Self-energy screening effects in the $g$ factor of Li-like ions
• Virtual Delbrück scattering and the Lamb shift in light hydrogen-like atoms
• Electron correlation effects on the $g$ factor of lithiumlike ions
• Two-photon exchange corrections to the $g$ factor of Li-like ions
• Non-perturbative analysis of nuclear shape effects on the bound electron g factor
• Two-loop virtual light-by-light scattering corrections to the bound-electron $g$ factor
• Interelectronic-interaction contribution to the nonlinear Zeeman effect in boronlike ions
• Improved bound-electron g-factor theory through complete two-loop QED calculations
• Thermal corrections to the bound-electron $g$-factor
• Testing inter-electronic interaction in lithium-like tin
• Decay of a bound muon into a bound electron
• 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
• Radiative and photon-exchange corrections to New Physics contributions to energy levels in few-electron ions
• An analysis of Bayesian estimates for missing higher orders in perturbative calculations
• Two-loop electron self-energy in bound-electron $g$ factor: diagrams in momentum-coordinate representation
• Fermion selective tests of new physics with the bound electron g-factor