Three-loop radiative-recoil corrections to hyperfine splitting generated by radiative insertions in feriion lines

We obtain an analytic result for three-loop radiative-recoil corrections to hyperfine splitting in muonium generated by the diagrams with the one-loop radiative photon insertions both in the electron and muon lines. The results obtained here represent the next step in our program of calculating all three-loop corrections to hyperfine splitting in muonium, they improve the theory of hyperfine splitting, and affect the value of the electron-muon mass ratio extracted from experimental data on the muonium hyperfine splitting