Light-by-light scattering in the Lamb shift and the bound electron g factor

preprint2016arXivOpen access

Abstract

We compute an O(α2(Zα)6)\mathcal{O}\left(α^2(Zα)^6\right) contribution to the hydrogen-atom Lamb shift arising from the light-by-light scattering. Analogous diagrams, with one atomic electric field insertion replaced by an external magnetic field, contribute to the gyromagnetic factor of the bound electron at O(α2(Zα)4)\mathcal{O}\left(α^2(Zα)^4\right). We also calculate the contribution to the gyromagnetic factor from the muon magnetic loop.

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