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

## TL;DR

This paper details the extraction of the electron mass using $g$ factor measurements on light hydrogenlike ions, combining experimental Penning-trap data with theoretical calculations, and discusses future improvements and consistency checks.

## Contribution

It introduces refined methods for determining the electron mass from $g$ factor measurements and discusses potential experimental and theoretical advancements.

## Key findings

- Recent calculations slightly shift the electron mass value
- Measurements with $^4$He$^+$ ions can verify the electron mass
- Future work may improve the fine-structure constant determination

## 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.