Radiative corrections to the muonium hyperfine structure. 1. The alpha**2 (Z-alpha) correction

Kinoshita, T.; Nio, M.

doi:10.1103/PhysRevD.53.4909

Radiative corrections to the muonium hyperfine structure. 1. The alpha**2 (Z-alpha) correction

T. Kinoshita
(
- Cornell U., LNS
)
,
M. Nio
(
- Cornell U., LNS
)

Dec, 1995

54 pages

Published in:

Phys.Rev.D 53 (1996) 4909-4929

e-Print:

hep-ph/9512327 [hep-ph]

DOI:

10.1103/PhysRevD.53.4909

Report number:

CLNS-95-1382

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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

\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

. These terms will be treated in the subsequent papers.

36.10.Dr
12.20.Ds
06.20.Jr
31.30.Jv
muonium: hyperfine structure
radiative correction: higher-order
quantum electrodynamics: nonrelativistic
Feynman graph: higher-order
effective Lagrangian
potential: external

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