Three-Loop Radiative-Recoil Corrections to Hyperfine Splitting in Muonium

Abstract

We calculate three-loop radiative-recoil corrections to hyperfine splitting in muonium generated by the diagrams with the first order electron and muon polarization loop insertions in graphs with two exchanged photons. These corrections are enhanced by the large logarithm of the electron-muon mass ratio. The leading logarithm squared contribution was obtained a long time ago. Here we calculate the single-logarithmic and nonlogarithmic contributions. We previously calculated the three-loop radiative-recoil corrections generated by two-loop polarization insertions in the exchanged photons. The current paper therefore concludes calculation of all three-loop radiative-recoil corrections to hyperfine splitting in muonium generated by diagrams with closed fermion loop insertions in the exchanged photons. The new results obtained here improve the theory of hyperfine splitting, and affect the value of the electron-muon mass ratio extracted from experimental data on the muonium hyperfine splitting.

27 pages, 6 figures, 7 tables

References in corpus (1)

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

Cited by in corpus (10)

• Hard Three-Loop Corrections to Hyperfine Splitting in Positronium and Muonium
• New Polarization Operator Contributions to Lamb Shift and Hyperfine Splitting
• Light-by-Light Scattering Nonlogarithmic Corrections to Hyperfine Splitting in Muonium
• Three-Loop Radiative-Recoil Corrections to Hyperfine Splitting in Muonium: Diagrams with Polarization Loops
• Three-Loop Radiative-Recoil Corrections to Hyperfine Splitting Generated by One-Loop Fermion Factors
• Three-Loop Contributions to Hyperfine Splitting: Muon Loop Light-by-Light Insertion and Other Closed Lepton Loops
• Radiative-Recoil Corrections to Hyperfine Splitting: Polarization Insertions in the Muon Factor
• Three-Loop Radiative-Recoil Corrections to Hyperfine Splitting in Muonium
• Light-by-Light Scattering Single-Logarithmic Corrections to Hyperfine Splitting in Muonium
• Radiative-Recoil Corrections to Hyperfine Splitting: Polarization Insertions in the Electron Factor