Extraction of the electron mass from $g$ factor measurements on light hydrogenlike ions

Abstract

The determination of the electron mass from Penning-trap measurements with ${}^{12}$C${}^{5+}$ ions and from theoretical results for the bound-electron $g$ factor is described in detail. Some recently calculated contributions slightly shift the extracted mass value. Prospects of a further improvement of the electron mass are discussed both from the experimental and from the theoretical point of view. Measurements with ${}^4$He${}^{+}$ ions will enable a consistency check of the electron mass value, and in future an improvement of the ${}^4$He nuclear mass and a determination of the fine-structure constant.

References in corpus (10)

• Hadronic contribution to the muon anomalous magnetic moment to next-to-next-to-leading order
• High-precision measurement of the atomic mass of the electron
• Complete two-loop correction to the bound-electron g factor
• Revised value of the eighth-order electron g-2
• 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
• Light-by-light scattering in the Lamb shift and the bound electron g factor
• One-loop electron self-energy for the bound-electron $g$ factor
• 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

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• Improved bound-electron g-factor theory through complete two-loop QED calculations
• Thermal corrections to the bound-electron $g$-factor
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• 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