Binding two-loop vacuum-polarization corrections to the bound-electron g factor

Details Binding two-loop vacuum-polarization corrections to the bound-electron g factor Binding two-loop vacuum-polarization corrections to the bound-electron g factor

2009-04-06

arxiv.org/abs/0904.0835v1

Phys.Rev.A 79 (2009) 044501

Physics

High Energy Physics

High Energy Physics - Phenomenology

4 pages, RevTeX

Scientific paper

10.1103/PhysRevA.79.044501

We commence the evaluation of the one- and two-loop binding corrections to the $g factor for an electron in a hydrogenlike system of order alpha^2 (Z alpha)^5 and consider diagrams with closed fermion loops. The one-loop vacuum-polarization correction is rederived and confirmed. For the two-loop vacuum-polarization correction, due to a specific gauge-invariant set of diagrams with closed fermion loops, we find a correction delta g = 7.442 (alpha/pi)^2 (Z alpha)^5. Based on the numerical trend of the coefficients inferred from the gauge-invariant subset, we obtain a numerically large tentative estimate for the complete two-loop binding correction to the g factor (sum of self-energy and vacuum polarization).

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