Hadronic light-by-light scattering in muonium hyperfine splitting

2008/06/30 by Savely G. Karshenboim, S. G. Karshenboim, Valery A. Shelyuto +3 · 4 citations
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.1103/physrevd.78.065036

published as Phys.Rev.D78:065036,2008 · 16 pages, 7 figures, a reference added

arxiv created 2008/07/09 · openalex publication_date 2008/09/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider an impact of hadronic light-by-light scattering on the muonium hyperfine structure. A shift of the hyperfine interval \ensuremathΔ\ensuremathν(Mu)_HLBL is calculated with the light-by-light scattering approximated by the exchange of pseudoscalar and pseudovector mesons. Constraints from the operator product expansion in QCD are used to fix parameters of the model similar to the one used earlier for the hadronic light-by-light scattering in calculations of the muon anomalous magnetic moment. The pseudovector exchange is dominant in the resulting shift, \ensuremathΔ\ensuremathν(Mu)_HLBL=\ensuremath-0.0065(10) Hz. Although the effect is tiny it is useful in understanding the level of hadronic uncertainties.

Citations

• Theory of Light Hydrogenlike Atoms
• Axial-Vector Vertex in Spinor Electrodynamics

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