Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2001-07-23
Phys.Rev. D65 (2002) 013003
Physics
High Energy Physics
High Energy Physics - Phenomenology
15 pages, 11 figures
Scientific paper
10.1103/PhysRevD.65.013003
We calculate radiative-recoil corrections of order $\alpha^2(Z\alpha)(m/M)E_F$ to hyperfine splitting in muonium generated by the diagrams with electron and muon polarization loops. These corrections are enhanced by the large logarithm of the electron-muon mass ratio. The leading logarithm cubed and logarithm squared contributions were obtained a long time ago. The single-logarithmic and nonlogarithmic contributions calculated here improve the theory of hyperfine splitting, and affect the value of the electron-muon mass ratio extracted from the experimental data on the muonium hyperfine splitting.
Eides Michael I.
Grotch Howard
Shelyuto Valery A.
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