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

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arxiv 1611.04875 v2 pith:3KAJF2EL submitted 2016-11-15 physics.atom-ph hep-ph

Andrzej Czarnecki , Robert Szafron This is my paper · ORCID
classification physics.atom-phhep-ph
keywords alphafactorboundcontributionelectronfieldgyromagneticlamb
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abstract

We compute an $\mathcal{O}\left(\alpha^2(Z\alpha)^6\right)$ 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 $\mathcal{O}\left(\alpha^2(Z\alpha)^4\right)$. We also calculate the contribution to the gyromagnetic factor from the muon magnetic loop.

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