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.

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Published in Physical Review D: Particles, Fields, Gravitation, and Cosmology, v. 90, no. 11, article 113002, p. 1-14.

©2014 American Physical Society

The copyright holder has granted permission for posting the article here.

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Funding Information

This work was supported by the NSF grants PHY-1066054 and PHY-1402593. The work of V. S. was supported in part by the Russian Foundation for Basic Research (RFBR) grant 14-02-00467 and by the Deutsche Forschungsgemeinschaft (DFG) Grant No. HA 1457/9-1.

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