Analytical calculation of the electron-line radiative-recoil corrections to muonium hyperfine splitting

An analytical calculation of electron-line radiative corrections to muonium hyperfine splitting is presented. The classic non-recoil and leading logarithmic radiative-recoil contribution is re-evaluated and a new term is obtained, which was not known previously in analytical form. This new term is found to be [α(Zα)/π2](me/mμ)EF[6ξ(3)+3π2 1n 2+1/2π2+17/8], where EF is the Fermi energy. (orig.)