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Light-by-Light Scattering Single-Logarithmic Corrections to Hyperfine Splitting in Muonium

We consider three-loop radiative-recoil corrections to hyperfine splitting in muonium generated by the gauge invariant set of diagrams with virtual light-by-light scattering block. These corrections are enhanced by the large logarithms of the electron-muon mass ratio. We present the results of an analytic calculation of the single-logarithmic radiative-recoil corrections of order $α^2(Zα)(m/M)E_F$ to hyperfine splitting in muonium generated by these diagrams.

preprint2012arXivOpen access
Michael I. EidesValery A. Shelyuto
physics.atom-phhep-ph
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Michael I. EidesValery A. Shelyuto

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