Two-loop binding corrections to the electron gyromagnetic factor

TL;DR

This paper calculates two-loop quantum corrections to the electron's magnetic moment when bound in hydrogen-like ions, refining theoretical predictions crucial for precise atomic mass measurements.

Contribution

It provides the first complete calculation of order alpha^2(Z alpha)^5 corrections, reducing uncertainties in bound electron g-factor predictions.

Findings

Improved accuracy in theoretical g-factor values for silicon and carbon ions.

Reduction of uncertainties in atomic mass determinations.

Enhanced agreement between theory and experimental measurements.

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.