# Three-loop contribution to hyperfine splitting in muonium: Polarization corrections to light-by-light scattering contributions

@article{Eides2012ThreeloopCT, title={Three-loop contribution to hyperfine splitting in muonium: Polarization corrections to light-by-light scattering contributions}, author={Michael I. Eides and Valery A. Shelyuto}, journal={Physical Review A}, year={2012}, volume={86}, pages={024501} }

We calculate corrections of order ${\ensuremath{\alpha}}^{3}(Z\ensuremath{\alpha}){E}_{F}$ to hyperfine splitting in muonium generated by the gauge invariant set of diagrams with polarization insertions in the light-by-light scattering diagrams. This nonrecoil contribution turns out to be $\ensuremath{-}2.63$ Hz. The total contribution of all known corrections of order ${\ensuremath{\alpha}}^{3}(Z\ensuremath{\alpha}){E}_{F}$ is equal to $\ensuremath{-}4.28$ Hz.

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