Three-Loop Radiative-Recoil Corrections to Hyperfine Splitting Generated by One-Loop Fermion Factors

Abstract

We consider three-loop radiative-recoil corrections to hyperfine splitting in muonium generated by diagrams with one-loop radiative photon insertions both in the electron and muon lines. An analytic result for these nonlogarithmic corrections of order $\alpha (Z^2\alpha )(Z\alpha )(m/M){\tilde{E}}_F$ is obtained. This result constitutes a next step in the implementation of the program of reduction of the theoretical uncertainty of hyperfine splitting below 10 Hz.

11 pages, 3 figures, 1 table

References in corpus (6)

• Theory of Light Hydrogenlike Atoms
• O(alpha^3 ln alpha) corrections to muonium and positronium hyperfine splitting
• New Value of M_mu/M_e from Muonium Hyperfine Splitting
• Two-Loop Polarization Contributions to Radiative-Recoil Corrections to Hyperfine Splitting in Muonium
• Second Order in Mass Ratio Radiative-Recoil Corrections to Hyperfine Splitting in Muonium
• Three-Loop Radiative-Recoil Corrections to Hyperfine Splitting in Muonium

Cited by in corpus (10)

• CODATA Recommended Values of the Fundamental Physical Constants: 2010
• Precision physics of simple atoms: QED tests, nuclear structure and fundamental constants
• Hard Three-Loop Corrections to Hyperfine Splitting in Positronium and Muonium
• 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 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
• Light-by-Light Scattering Single-Logarithmic Corrections to Hyperfine Splitting in Muonium
• Three-Loop Radiative-Recoil Corrections to Hyperfine Splitting in Muonium
• Radiative-Recoil Corrections to Hyperfine Splitting: Polarization Insertions in the Electron Factor