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arXiv · hep-ph/9512327

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

T. Kinoshita·M. Nio
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Abstract

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 $α^2 (Zα)$ radiative correction. Our result for the complete $α^2 (Zα)$ 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 $α(Zα)^2$ term and logarithmic terms of order $α^4$.

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T. Kinoshita, M. Nio. 1996-02-19. Radiative Corrections to the Muonium Hyperfine Structure. I. The $α^2 (Zα)$ Correction. https://doi.org/10.1103/physrevd.53.4909

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