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arXiv · 0910.0911

Radiative-Recoil Corrections to Hyperfine Splitting: Polarization Insertions in the Electron Factor

Michael I. Eides·Valery A. Shelyuto
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Abstract

We consider three-loop radiative-recoil corrections to hyperfine splitting in muonium due to insertions of one-loop polarization operator in the electron factor. The contribution generated by electron polarization insertions is a cubic polynomial in the large logarithm of the electron-muon mass ratio. The leading logarithm cubed and logarithm squared terms are well known for some time. We calculated all single-logarithmic and nonlogarithmic radiative-recoil corrections of order $\alpha^3(m/M)E_F$ generated by the diagrams with electron and muon polarization insertions.

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Michael I. Eides, Valery A. Shelyuto. 2009-10-06. Radiative-Recoil Corrections to Hyperfine Splitting: Polarization Insertions in the Electron Factor. https://doi.org/10.1134/s1063776110010036

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