Abstract
An analytic calculation of muon-line radiative corrections to muonium hyperfine splitting is presented. the muon-line contribution turns out to be [( Z 2α)( Zα)/π 2] ( m/ M) [ 9 2 ζ(3) −3π 2 In 2 + 39 8 ] in units of the Ferm hyperfine splitting energy. This result completes the program of analytic calculation of all radiative-recoil corrections and the final expression for these corrections is also presented
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