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

Pachucki, Krzysztof; Czarnecki, Andrzej; Jentschura, Ulrich D.; Yerokhin, Vladimir A.

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

Authors

Pachucki, Krzysztof

Czarnecki, Andrzej

Jentschura, Ulrich D.

Yerokhin, Vladimir A.

Description

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.
11 pages, 1 figure