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- Title
Model-independent determination of the two-photon exchange contribution to hyperfine splitting in muonic hydrogen.
- Authors
Peset, Clara; Pineda, Antonio
- Abstract
We obtain a model-independent prediction for the two-photon exchange contribution to the hyperfine splitting in muonic hydrogen. We use the relation of the Wilson coefficients of the spin-dependent dimension-six four-fermion operator of NRQED applied to the electron-proton and to the muon-proton sectors. Their difference can be reliably computed using chiral perturbation theory, whereas the Wilson coefficient of the electron-proton sector can be determined from the hyperfine splitting in hydrogen. This allows us to give a precise model-independent determination of the Wilson coefficient for the muon-proton sector, and consequently of the two-photon exchange contribution to the hyperfine splitting in muonic hydrogen, which reads $$ \delta {\overline{E}}_{p\mu, \mathrm{H}\mathrm{F}}^{\mathrm{TPE}}(nS)=-\frac{1}{n^3}1.161(20) $$ meV. Together with the associated QED analysis, we obtain a prediction for the hyperfine splitting in muonic hydrogen that reads E (1 S) = 182.623(27) meV and E (2 S) = 22.8123(33) meV. The error is dominated by the two-photon exchange contribution.
- Subjects
PHOTON transport theory; HYDROGEN spectra; MUONIC atoms; HYPERFINE structure; QUANTUM perturbations; QUANTUM electrodynamics
- Publication
Journal of High Energy Physics, 2017, Vol 2017, Issue 4, p1
- ISSN
1126-6708
- Publication type
Article
- DOI
10.1007/JHEP04(2017)060