Three-Loop Radiative-Recoil Corrections to Hyperfine Splitting in Muonium: Diagrams with Polarization Loops

Abstract

We consider three-loop radiative-recoil corrections to hyperfine splitting in muonium generated by the diagrams with electron and muon vacuum polarizations. We calculate single-logarithmic and nonlogarithmic contributions of order ${\alpha }^3(m/M)E_F$ generated by gauge invariant sets of diagrams with electron and muon polarization insertions in the electron and muon factors. Combining the new contributions with our older results we present complete result for all three-loop radiative-recoil corrections generated by the diagrams with electron and muon polarization loops.

8 pages, 10 figures. Editorial changes, results unchanged. Version published in Phys.Rev.Lett

References in corpus (2)

• Production of the Smallest QED Atom: True Muonium (mu^+ mu^-)
• Hadronic Light-by-Light Scattering in the Muonium Hyperfine Splitting

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• One More Hard Three-Loop Correction to Parapositronium Energy Levels
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• Three-Loop Corrections to Lamb Shift in Muonium and Positronium
• Light-by-Light Scattering Single-Logarithmic Corrections to Hyperfine Splitting in Muonium
• Radiative-nonrecoil corrections of order alpha^2 (Z alpha) E_F to the hyperfine splitting of muonium