title: Nonrelativistic QED approach to the bound-electron g factor.
abstract: Within a systematic approach based on nonrelativistic quantum electrodynamics, we derive the one-loop self-energy correction of order alpha(Z alpha)(4) to the bound-electron g factor. In combination with numerical data, this analytic result improves theoretical predictions for the self-energy correction for carbon and oxygen by an order of magnitude. Basing on one-loop calculations, we obtain the logarithmic two-loop contribution of order alpha(2)(Z alpha)(4)ln([(Z alpha)(-2)] and the dominant part of the corresponding constant term. The results obtained improve the accuracy of the theoretical predictions for the 1S bound-electron g factor and influence the value of the electron mass determined from g-factor measurements.
authors.affiliation: Institute of Theoretical Physics, Warsaw University, ul. Hoza 69, 00-681 Warsaw, Poland.
authors.forename: Krzysztof
authors.initials: K
authors.lastname: Pachucki
authors.forename: Ulrich D
authors.initials: UD
authors.lastname: Jentschura
authors.forename: Vladimir A
authors.initials: VA
authors.lastname: Yerokhin