Second Order in Mass Ratio Radiative-Recoil Corrections to Hyperfine Splitting in Muonium

Michael I. Eides, Howard Grotch, Valery A. Shelyuto

Radiative-recoil corrections to hyperfine splitting in muonium of orders $\alpha (Z\alpha )(m/M{)}^2{E}_F$ and $(Z^2\alpha )(Z\alpha )(m/M{)}^2{E}_F$ are calculated. These corrections are of the second order in t…