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We present results for the corrections of order alpha^2 (Z alpha) E_F to thehyperfine splitting of muonium. We compute all the contributing Feynmandiagrams in dimensional regularization and a general covariant gauge using amixture of analytical and numerical methods. We improve the precision ofprevious results.

Radiative-nonrecoil corrections of order alpha^2 (Z alpha) E_F to the hyperfine splitting of muonium