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

Abstract

We consider three-loop radiative-recoil corrections to hyperfine splitting in muonium due to insertions of one-loop polarization operator in the muon factor. The contribution produced by electron polarization insertions are enhanced by the large logarithm of the electron-muon mass ratio. We obtained 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.

10 pages, 4 figures

References in corpus (4)

• Theory of Light Hydrogenlike Atoms
• Two-Loop Polarization Contributions to Radiative-Recoil Corrections to Hyperfine Splitting in Muonium
• Three-Loop Radiative-Recoil Corrections to Hyperfine Splitting in Muonium
• Three-Loop Radiative-Recoil Corrections to Hyperfine Splitting Generated by One-Loop Fermion Factors

Cited by in corpus (8)

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• Precision Muonium Spectroscopy
• Light-by-Light Scattering Nonlogarithmic Corrections to Hyperfine Splitting in Muonium
• One More Hard Three-Loop Correction to Parapositronium Energy Levels
• Three-Loop Contributions to Hyperfine Splitting: Muon Loop Light-by-Light Insertion and Other Closed Lepton Loops
• Light-by-Light Scattering Single-Logarithmic Corrections to Hyperfine Splitting in Muonium