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Radiative recoil corrections to hyperfine splitting: Polarization insertions in the electron factor

  • Nuclei, Particles, Fields, Gravitation, and Astrophysics
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Abstract

We consider three-loop radiative recoil corrections to hyperfine splitting in muonium due to insertions of the one-loop polarization operator in the electron factor. The contribution generated by electron polarization insertions is a cubic polynomial in the large logarithm of the electron—muon mass ratio. The leading logarithm cubed and logarithm squared terms are well known for some time. We calculate all single-logarithmic and nonlogarithmic radiative recoil corrections of the order α3 (m/M)EF generated by diagrams with the electron and muon polarization insertions.

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Authors and Affiliations

  1. Department of Physics and Astronomy, University of Kentucky, KY 40506, Lexington, USA

    M. I. Eides

  2. Nuclear Physics Institute, Gatchina, St. Petersburg, 188300, Russia

    M. I. Eides

  3. Mendeleev Institute of Metrology, St. Petersburg, 190005, Russia

    V. A. Shelyuto

Authors
  1. M. I. Eides
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  2. V. A. Shelyuto
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Correspondence to M. I. Eides.

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Eides, M.I., Shelyuto, V.A. Radiative recoil corrections to hyperfine splitting: Polarization insertions in the electron factor. J. Exp. Theor. Phys. 110, 17–25 (2010). https://doi.org/10.1134/S1063776110010036

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  • DOI: https://doi.org/10.1134/S1063776110010036

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