Lamb shift in muonic hydrogen-II. Analysis of the discrepancy of theory and experiment

Research output: Contribution to journalArticle

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Abstract

Currently, both the g factor measurement of the muon as well as the Lamb shift 2. S-2. P measurement in muonic hydrogen are in disagreement with theory. Here, we investigate possible theoretical explanations, including proton structure effects and small modifications of the vacuum polarization potential. In particular, we investigate a conceivable small modification of the spectral function of vacuum polarization in between the electron and muon energy scales due to a virtual millicharged particle and due to an unstable vector boson originating from a hidden sector of an extended standard model. We find that a virtual millicharged particle which could explain the muonic Lamb shift discrepancy alters theoretical predictions for the muon anomalous magnetic moment by many standard deviations and therefore is in conflict with experiment. Also, we find no parameterizations of an unstable virtual vector boson which could simultaneously explain both "muonic" discrepancies without significantly altering theoretical predictions for electronic hydrogen, where theory and experiment currently are in excellent agreement. A process-dependent correction involving electron screening is evaluated to have the right sign and order-of-magnitude to explain the observed effect in muonic hydrogen. Additional experimental evidence from light muonic atoms and ions is needed in order to reach further clarification.

Original languageEnglish
Pages (from-to)516-533
Number of pages18
JournalAnnals of Physics
Volume326
Issue number2
DOIs
Publication statusPublished - Feb 2011

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muons
shift
hydrogen
bosons
vacuum
polarization
predictions
parameterization
standard deviation
sectors
screening
magnetic moments
electron energy
protons
electronics
atoms
ions
electrons
energy

Keywords

  • QED calculations of level energies
  • Quantum electrodynamics
  • Relativistic and quantum electrodynamic (QED) effects in atoms, molecules, and ions
  • Specific calculations

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Lamb shift in muonic hydrogen-II. Analysis of the discrepancy of theory and experiment. / Jentschura, U.

In: Annals of Physics, Vol. 326, No. 2, 02.2011, p. 516-533.

Research output: Contribution to journalArticle

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