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Complete two-loop correction to the bound-electron g factor

Krzysztof Pachucki·Andrzej Czarnecki·Ulrich D. Jentschura·Vladimir A. Yerokhin
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Abstract

Within a systematic approach based on the dimensionally regularized nonrelativistic quantum electrodynamics, we derive the complete result for the two-loop correction to order $(α/π)^2 (Z α)^4$ for the $g$ factor of an electron bound in an $nS$ state of a hydrogenlike ion. The results obtained significantly improve the accuracy of the theoretical predictions for the hydrogenlike carbon and oxygen ions and influence the value of the electron mass inferred from $g$ factor measurements.

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Krzysztof Pachucki, Andrzej Czarnecki, Ulrich D. Jentschura, Vladimir A. Yerokhin. 2005-06-30. Complete two-loop correction to the bound-electron g factor. https://doi.org/10.1103/physreva.72.022108

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