2014
DOI: 10.1140/epjc/s10052-014-2852-0
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Chiral perturbation theory of muonic-hydrogen Lamb shift: polarizability contribution

Abstract: The proton polarizability effect in the muonichydrogen Lamb shift comes out as a prediction of baryon chiral perturbation theory at leading order and our calculation yields E (pol) (2P − 2S) = 8 +3 −1 µeV. This result is consistent with most of evaluations based on dispersive sum rules, but it is about a factor of 2 smaller than the recent result obtained in heavy-baryon chiral perturbation theory. We also find that the effect of (1232)-resonance excitation on the Lamb shift is suppressed, as is the entire con… Show more

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Cited by 88 publications
(120 citation statements)
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“…Improvements in the baryonic sector of chiral EFT are interesting, among other things, to unveil the low energy structure of the nucleon [4,[6][7][8] or for theoretical calculations where the hadronic interaction of the nucleon is relevant at low energies. A good example of the latter is the usefulness of baryon chiral EFT in the prediction of the contribution of the proton polarizabilities to the muonic hydrogen Lamb shift [21,22]. Therefore we consider it is worthy to apply the same approach to other fundamental nuclear processes where it has not been considered yet.…”
Section: Discussionmentioning
confidence: 99%
“…Improvements in the baryonic sector of chiral EFT are interesting, among other things, to unveil the low energy structure of the nucleon [4,[6][7][8] or for theoretical calculations where the hadronic interaction of the nucleon is relevant at low energies. A good example of the latter is the usefulness of baryon chiral EFT in the prediction of the contribution of the proton polarizabilities to the muonic hydrogen Lamb shift [21,22]. Therefore we consider it is worthy to apply the same approach to other fundamental nuclear processes where it has not been considered yet.…”
Section: Discussionmentioning
confidence: 99%
“…The bigger contribution to E TPE comes from the Born terms; it is encoded in the 3rd Zemach moment [685] together with its recoil corrections. The Q 2 -dependent subtraction function that appears in the inelastic part can be determined from the magnetic polarisability in combination with low-energy expansions, chiral perturbation theory and perturbative QCD constraints [677,[686][687][688][689]. However, the resulting value for E TPE is too small to resolve the problem -to obtain a proton radius consistent with the CODATA value, the TPE contributions would have to be larger by an order of magnitude (requiring E TPE ∼ 0.360 meV).…”
Section: Overview Of Two-photon Physicsmentioning
confidence: 99%
“…The discussion has focused on the one hand on recalculation of the theoretical input to the extraction of r p E from muonic hydrogen and on modifications of the theoretical calculation such as proton structure effects, e.g. [7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,…”
Section: Introductionmentioning
confidence: 99%