RADIATIVE RECOIL CORRECTIONS TO HYPERFINE SPLITTING: POLARIZATION INSERTIONS IN THE ELECTRON FACTOR
Eides M.I., Shelyuto V.A.

Поступила в редакцию: 9 Июля 2009

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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)E_F generated by diagrams with the electron and muon polarization insertions.