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arXiv · hep-ph/0107238

Two-Loop Polarization Contributions to Radiative-Recoil Corrections to Hyperfine Splitting in Muonium

Michael I. Eides·Howard Grotch·Valery A. Shelyuto
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Abstract

We calculate radiative-recoil corrections of order $α^2(Zα)(m/M)E_F$ to hyperfine splitting in muonium generated by the diagrams with electron and muon polarization loops. These corrections are enhanced by the large logarithm of the electron-muon mass ratio. The leading logarithm cubed and logarithm squared contributions were obtained a long time ago. The single-logarithmic and nonlogarithmic contributions calculated here improve the theory of hyperfine splitting, and affect the value of the electron-muon mass ratio extracted from the experimental data on the muonium hyperfine splitting.

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Michael I. Eides, Howard Grotch, Valery A. Shelyuto. 2001-07-23. Two-Loop Polarization Contributions to Radiative-Recoil Corrections to Hyperfine Splitting in Muonium. https://doi.org/10.1103/physrevd.65.013003

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