Radiative Corrections to the Muonium Hyperfine Structure. I. The $α^2 (Zα)$ Correction

Details Radiative Corrections to the Muonium Hyperfine Structure. I. The $α^2 (Zα)$ Correction Radiative Corrections to the Muonium Hyperfine Structure. I. The $α^2 (Zα)$ Correction

1995-12-15

arxiv.org/abs/hep-ph/9512327v3

Phys.Rev. D53 (1996) 4909-4929

Physics

High Energy Physics

High Energy Physics - Phenomenology

56 pages, Rev.tex V3.0 and epsf.tex. 12 postscript files are called in the text. Version accepted by Phys. Rev. D. A new table

Scientific paper

10.1103/PhysRevD.53.4909

This is the first of a series of papers on a systematic application of the NRQED bound state theory of Caswell and Lepage to higher-order radiative corrections to the hyperfine structure of the muonium ground state. This paper describes the calculation of the $\alpha^2 (Z\alpha)$ radiative correction. Our result for the complete $\alpha^2 (Z\alpha)$ correction is 0.424(4) kHz, which reduces the theoretical uncertainty significantly. The remaining uncertainty is dominated by that of the numerical evaluation of the nonlogarithmic part of the $\alpha (Z\alpha )^2$ term and logarithmic terms of order $\alpha^4$.

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