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arXiv · 1311.1065

Light-by-Light Scattering Nonlogarithmic Corrections to Hyperfine Splitting in Muonium

Michael I. Eides·Valery A. Shelyuto
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Abstract

We consider three-loop corrections to hyperfine splitting in muonium generated by the gauge invariant set of diagrams with virtual light-by-light scattering block. These diagrams produce both recoil and nonrecoil contributions to hyperfine splitting. Recoil corrections are enhanced by large logarithms of the muon-electron mass ratio. Both nonrecoil and logarithmically enhanced radiative-recoil corrections where calculated some time ago. Here we calculate nonlogarithmic radiative-recoil corrections generated by the insertions of the light-by-light scattering block.

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Michael I. Eides, Valery A. Shelyuto. 2013-11-05. Light-by-Light Scattering Nonlogarithmic Corrections to Hyperfine Splitting in Muonium. https://doi.org/10.1103/physrevd.89.014034

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