2004/12/24 by Michael I. Eides, H. Grotch, Howard Grotch +1
Engineering · Physics and Astronomy · #Atomic and Molecular Physics #Atomic physics #Electron #Hyperfine structure #Logarithm #Muon #Muon and positron interactions and applications #Muonium #Nuclear physics #Particle accelerators and beam dynamics #Particle physics #Photon #Physics #Quantum mechanics #Radiative transfer #Recoil #Vacuum polarization #hep-ph #physics.atom-ph
paper · pdf · doi:10.1139/p05-008
published as Can.J.Phys. 83 (2005) 363-373 · 13 pages, 18 figures
arxiv created 2004/12/24 · openalex publication_date 2005/04/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We consider three-loop radiative-recoil corrections to hyperfine splitting in muonium. These corrections are enhanced by the large logarithm of the electronmuon mass ratio. The leading logarithm-cubed and logarithm-squared contributions were obtained a long time ago. We calculate the single-logarithmic and nonlogarithmic contributions of order α 3 (m/M)E F generated by gauge invariant sets of diagrams with one- and two-loop polarization insertions in diagrams with two exchanged photons and radiative photons, and by diagrams with one-loop radiative photon insertions both in the electron and muon lines. The results of this paper constitute a next step in the implementation of the program of reduction of the theoretical uncertainty of hyperfine splitting below 10 Hz. They improve the theory of hyperfine splitting, and affect the value of the electronmuon mass ratio extracted from experimental data on the muonium hyperfine splitting.PACS Nos.: 12.20.Ds, 31.30.Jv, 32.10.Fn, 36.10.Dr