Abstract
We consider three-loop corrections to hyperfine splitting in muonium generated by the gauge invariant set of diagrams with a virtual light-by-light scattering block. These diagrams produce both recoil and nonrecoil contributions to hyperfine splitting. Recoil corrections are enhanced by large logarithms of the muon-electron mass ratio. Both nonrecoil and logarithmically enhanced radiative-recoil corrections were calculated some time ago. Here we calculate nonlogarithmic radiative-recoil corrections generated by the insertions of the light-by-light scattering block.
Document Type
Article
Publication Date
1-28-2014
Digital Object Identifier (DOI)
http://dx.doi.org/10.1103/PhysRevD.89.014034
Funding Information
This work was supported by the NSF Grant No. PHY-1066054. The work of V. S. was also supported in part by the RFBR Grant No. 12-02-00313 and by the DFG Grant No. GZ:HA 1457/7-2.
Repository Citation
Eides, Michael I. and Shelyuto, Valery A., "Light-By-Light Scattering Nonlogarithmic Corrections to Hyperfine Splitting in Muonium" (2014). Physics and Astronomy Faculty Publications. 235.
https://uknowledge.uky.edu/physastron_facpub/235
Notes/Citation Information
Published in Physical Review D, v. 89, article 014034, p. 1-7.
© 2014 American Physical Society
The copyright holder has granted permission for posting the article here.