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We consider three-loop radiative-recoil corrections to hyperfine splitting inmuonium due to insertions of one-loop polarization operator in the electronfactor. The contribution generated by electron polarization insertions is acubic polynomial in the large logarithm of the electron-muon mass ratio. Theleading logarithm cubed and logarithm squared terms are well known for sometime. We calculated all single-logarithmic and nonlogarithmic radiative-recoilcorrections of order $\alpha^3(m/M)E_F$ generated by the diagrams with electronand muon polarization insertions.

Radiative-Recoil Corrections to Hyperfine Splitting: Polarization Insertions in the Electron Factor