Light-by-Light Scattering Nonlogarithmic Corrections to Hyperfine Splitting in Muonium

Abstract

We consider three-loop corrections to hyperfine splitting in muonium generated by the gauge invariant set of diagrams with virtual light-by-light scattering block. These diagrams produce both recoil and nonrecoil contributions to hyperfine splitting. Recoil corrections are enhanced by large logarithms of the muon-electron mass ratio. Both nonrecoil and logarithmically enhanced radiative-recoil corrections where calculated some time ago. Here we calculate nonlogarithmic radiative-recoil corrections generated by the insertions of the light-by-light scattering block.

Minor corrections, version to be published in Phys. Rev. D

References in corpus (1)

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

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• Hard Nonlogarithmic Corrections of Order $m{\alpha }^7$ to Hyperfine Splitting in Positronium
• Probing New Physics with Long-Range Neutrino Interactions: An Effective Field Theory Approach
• Precision Muonium Spectroscopy
• 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
• Three-Loop Corrections to Lamb Shift in Muonium and Positronium
• Two-Loop Electron Factor Contribution to Lamb Shift in Muonium and Positronium
• Muon Loop Light-by-Light Contribution to Hyperfine Splitting in Muonium
• Three-Loop Corrections to Lamb Shift in Positronium: Electron Factor and Polarization