Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1994-02-09
Phys.Rev.Lett.72:3803-3806,1994
Physics
High Energy Physics
High Energy Physics - Phenomenology
11 pages + 2 figures (included), RevTeX 3.0, CLNS 94/1275
Scientific paper
10.1103/PhysRevLett.72.3803
Terms contributing to the hyperfine structure of the muonium ground state at the level of few tenths of kHz have been evaluated. The $\alpha^2 (Z\alpha)$ radiative correction has been calculated numerically to the precision of 0.02 kHz. Leading $\ln (Z\alpha )$ terms of order $\alpha^{4-n} (Z\alpha)^n , n=1,2,3,$ and some relativistic corrections have been evaluated analytically. The theoretical uncertainty is now reduced to 0.17 kHz. At present, however, it is not possible to test QED to this precision because of the 1.34 kHz uncertainty due to the muon mass.
Kinoshita Takahiro
Nio Makiko
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