Hadronic light-by-light scattering in muonium hyperfine splitting

S. G. Karshenboim, V. A. Shelyuto, A. I. Vainshtein

Research output: Contribution to journalArticlepeer-review

18 Scopus citations


We consider an impact of hadronic light-by-light scattering on the muonium hyperfine structure. A shift of the hyperfine interval Δν(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, Δν(Mu)HLBL=-0.0065(10)Hz. Although the effect is tiny it is useful in understanding the level of hadronic uncertainties.

Original languageEnglish (US)
Article number065036
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Issue number6
StatePublished - Sep 22 2008


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