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

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.

13 pages, 3 figures

References in corpus (4)

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

Cited by in corpus (8)

• CODATA Recommended Values of the Fundamental Physical Constants: 2010
• Hard Three-Loop Corrections to Hyperfine Splitting in Positronium and Muonium
• Hard Nonlogarithmic Corrections of Order $m{\alpha }^7$ to Hyperfine Splitting in Positronium
• 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