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arXiv · 1211.4265

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

Michael I. Eides·Valery A. Shelyuto
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Abstract

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.

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Michael I. Eides, Valery A. Shelyuto. 2012-12-07. Light-by-Light Scattering Single-Logarithmic Corrections to Hyperfine Splitting in Muonium. https://doi.org/10.1103/physrevd.87.013005

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