English

Three-Loop Contributions to Hyperfine Splitting: Muon Loop Light-by-Light Insertion and Other Closed Lepton Loops

High Energy Physics - Phenomenology 2014-12-10 v1 Atomic Physics

Abstract

The muon and tauon light-by-light scattering contributions to hyperfine splitting in muonium are calculated. These results conclude calculation of all hard three-loop contributions to hyperfine splitting containing 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.

Cite

@article{arxiv.1410.2930,
  title  = {Three-Loop Contributions to Hyperfine Splitting: Muon Loop Light-by-Light Insertion and Other Closed Lepton Loops},
  author = {Michael I. Eides and Valery A. Shelyuto},
  journal= {arXiv preprint arXiv:1410.2930},
  year   = {2014}
}

Comments

23 pages, 9 figures

R2 v1 2026-06-22T06:20:04.395Z