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Three-loop contributions to hyperfine splitting: Muon loop light-by-light insertion and other closed lepton loops

2014/10/11 by Michael I. Eides, Valery A. Shelyuto
Engineering · Physics and Astronomy · #Atomic and Molecular Physics #Atomic physics #Electron #Fermion #Hyperfine structure #Lepton #Loop (graph theory) #Muon #Muon and positron interactions and applications #Muonium #Nuclear physics #Particle Detector Development and Performance #Particle physics #Physics #Quantum mechanics #Radiative transfer #Recoil #Scattering #hep-ph #physics.atom-ph

paper · pdf · doi:10.1103/physrevd.90.113002

published as Phys. Rev. D 90, 113002 (2014) · 23 pages, 9 figures

arxiv created 2014/10/11 · openalex publication_date 2014/12/03 · arxiv updated 2014/12/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The muon and tauon light-by-light scattering contributions to hyperfine splitting in muonium are calculated. These results conclude the calculation of all hard three-loop contributions to hyperfine splitting generated by the graphs with closed fermion loops. We discuss the special role that the lepton anomalous magnetic moments play in these calculations. The full result for all three-loop radiative-recoil corrections to hyperfine splitting generated by the graphs with closed lepton loops is presented.

Citations