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

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.

6 pages, 5 figures v2: some references added, accepted for publication in Phys. Rev. A

References in corpus (6)

• High-precision measurement of the atomic mass of the electron
• Complete two-loop correction to the bound-electron g factor
• Nonrelativistic QED approach to the Lamb shift
• The NRQED lagrangian at order 1/M^4
• Calculation of the One- and Two-Loop Lamb Shift for Arbitrary Excited Hydrogenic States
• Muonic vacuum polarization correction to the bound-electron $g$-factor

Cited by in corpus (5)

• Two-loop binding corrections to the electron gyromagnetic factor
• Recoil effect on the g factor of Li-like ions
• Electron-correlation effects in the $g$-factor of light Li-like ions
• The Lamb shift of the $1s$ state in hydrogen: two-loop and three-loop contributions
• Light-by-light-scattering contributions to the Lamb shift in light muonic atoms