Abstract
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) π 2 ]( m e m μ )E F [6ζ(3)+3π 2 ln 2+ 1 2 π 2+ 17 18 ], where E F is the Fermi energy.
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