ZhETF, Vol. 137,
No. 1,
p. 24 (January 2010)
(English translation - JETP,
Vol. 110, No. 1,
p. 17,
January 2010
available online at www.springer.com
)
RADIATIVE RECOIL CORRECTIONS TO HYPERFINE SPLITTING: POLARIZATION INSERTIONS IN THE ELECTRON FACTOR
Eides M.I., Shelyuto V.A.
Received: July 9, 2009
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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