Light-by-Light Scattering Single-Logarithmic Corrections to Hyperfine Splitting in Muonium

Abstract

We consider three-loop radiative-recoil corrections to hyperfine splitting in muonium generated by the gauge invariant set of diagrams with virtual light-by-light scattering block. These corrections are enhanced by the large logarithms of the electron-muon mass ratio. We present the results of an analytic calculation of the single-logarithmic radiative-recoil corrections of order ${\alpha }^2(Z\alpha )(m/M)E_F$ to hyperfine splitting in muonium generated by these diagrams.

21 page, 3 figures

References in corpus (2)

• CODATA Recommended Values of the Fundamental Physical Constants: 2010
• Radiative-Recoil Corrections to Hyperfine Splitting: Polarization Insertions in the Muon Factor

Cited by in corpus (8)

• Positronium hyperfine splitting at order $m{\alpha }^7$: light-by-light scattering in the two-photon-exchange channel
• 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
• Muon Loop Light-by-Light Contribution to Hyperfine Splitting in Muonium