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.

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• QED tests with highly-charged ions
• The proton structure in and out of muonic hydrogen
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• Two-loop binding corrections to the electron gyromagnetic factor
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• Recoil effect on the g factor of Li-like ions
• Stringent tests of QED using highly charged ions
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• Penning-Trap Mass Measurement of Helium-4
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• Radiative and photon-exchange corrections to New Physics contributions to energy levels in few-electron ions