Theory of the 2S-2P Lamb shift and 2S hyperfine splitting in muonic hydrogen

Abstract

The 7 standard deviations between the proton rms charge radius from muonic hydrogen and the CODATA-10 value from hydrogen spectroscopy and electron-scattering has caused considerable discussions. Here, we review the theory of the 2S-2P Lamb shift and 2S hyperfine splitting in muonic hydrogen combining the published contributions and theoretical approaches. The prediction of these quantities is necessary for the determination of both proton charge and Zemach radii from the two 2S-2P transition frequencies measured in muonic hydrogen.

20 pages with 3 Tables summarising the contributions to the muonic hydrogen Lamb shift and hyperfine splitting

References in corpus (20)

• High-precision determination of the electric and magnetic form factors of the proton
• Global analysis of proton elastic form factor data with two-photon exchange corrections
• Model independent extraction of the proton charge radius from electron scattering
• The size of the proton - closing in on the radius puzzle
• Muonic hydrogen and MeV forces
• The RMS Charge Radius of the Proton and Zemach Moments
• New Parity-Violating Muonic Forces
• Proton polarisability contribution to the Lamb shift in muonic hydrogen at fourth order in chiral perturbation theory
• Proton size anomaly
• Spectroscopy as a test of Coulomb's law - A probe of the hidden sector
• Atomic Precision Tests and Light Scalar Couplings
• New Physics and the Proton Radius Problem
• Proton structure corrections to electronic and muonic hydrogen hyperfine splitting
• Spectroscopy of atomic hydrogen. How is the Rydberg constant determined?
• Fundamental constants and tests of theory in Rydberg states of hydrogen-like ions
• Proton Spin Structure in the Resonance Region
• QED is not endangered by the proton's size
• Third Zemach Moment of the Proton
• Why three-body physics do not solve the proton radius puzzle
• Testing Parity with Atomic Radiative Capture of ${\mu }^{-}$

Cited by in corpus (89)

• CODATA Recommended Values of the Fundamental Physical Constants: 2014
• QCD and strongly coupled gauge theories: challenges and perspectives
• Baryons as relativistic three-quark bound states
• Muonic hydrogen and the proton radius puzzle
• The Proton Radius Puzzle
• The proton charge radius
• Nucleon Polarizabilities: from Compton Scattering to Hydrogen Atom
• Model independent extraction of the proton magnetic radius from electron scattering
• Chiral perturbation theory of muonic hydrogen Lamb shift: polarizability contribution
• Laboratory tests of Lorentz and CPT symmetry with muons
• Subtracted dispersion relation formalism for the two-photon exchange correction to elastic electron-proton scattering: comparison with data
• Constraints on muon-specific dark forces
• Theory of the n=2 levels in muonic deuterium
• Atomic physics studies at the Gamma Factory at CERN
• Three-photon exchange nuclear structure correction in hydrogenic systems
• Comprehensive theory of the Lamb shift in light muonic atoms
• $\mu -H$ Lamb shift: dispersing the nucleon-excitation uncertainty with a finite energy sum rule
• Theory of the Lamb shift and Fine Structure in muonic ${}^4\mathrm{He}$ ions and the muonic ${}^3\mathrm{He}{-}^4\mathrm{He}$ Isotope Shift
• Two-photon exchange corrections in elastic muon-proton scattering
• Nucleon spin-averaged forward virtual Compton tensor at large $Q^2$
• The proton radius (puzzle?) and its relatives
• Review of experimental and theoretical status of the proton radius puzzle
• The Lamb shift in muonic hydrogen and the proton radius from effective field theories
• Dispersion Theory in Electromagnetic Interactions
• Two-photon exchange correction to $2S$-$2P$ splitting in muonic helium-3 ions
• Two-photon exchange correction to the hyperfine splitting in muonic hydrogen
• The next generation of laser spectroscopy experiments using light muonic atoms
• Nuclear structure corrections to the Lamb shift in ${\mu }^3$He${}^{+}$ and ${\mu }^3$H
• The ${\alpha }^2(Z\alpha {)}^{4}m$ contributions to the Lamb shift and the fine structure in light muonic atoms
• Hyperfine structure of S-states in muonic deuterium
• Proton radius puzzle and quantum gravity at the Fermi scale
• Radiative nonrecoil nuclear finite size corrections of order $\alpha (Z\alpha {)}^5$ to the hyperfine splitting of S-states in muonic hydrogen
• Model-independent determination of the two-photon exchange contribution to hyperfine splitting in muonic hydrogen
• Lamb shift in muonic ions of lithium, beryllium and boron
• Nuclear-structure corrections to the hyperfine splitting in muonic deuterium
• Quantum interference effects in laser spectroscopy of muonic hydrogen, deuterium, and helium-3
• The contribution of axial-vector mesons to hyperfine structure of muonic hydrogen
• Nucleon resonances in Compton scattering
• Two-photon exchange corrections to elastic $e^{-}$-proton scattering: Full dispersive treatment of $\pi N$ states at low momentum transfers
• Coordinate-space approach to vacuum polarization
• Theory of the n=2 levels in muonic helium-3 ions
• The contribution of pseudoscalar mesons to hyperfine structure of muonic hydrogen
• Experiments towards resolving the proton charge radius puzzle
• Hyperfine structure of P-states in muonic deuterium
• Single pion contribution to the hyperfine splitting in muonic hydrogen
• PRad-II: A New Upgraded High Precision Measurement of the Proton Charge Radius
• Probing New Physics with Long-Range Neutrino Interactions: An Effective Field Theory Approach
• Sum rules across the unpolarized Compton processes involving generalized polarizabilities and moments of nucleon structure functions
• Lattice QCD calculation of the two-photon exchange contribution to the muonic-hydrogen Lamb shift
• Is the proton radius puzzle evidence of extra dimensions?
• Electroweak Corrections to the True Muonium Hyperfine Splitting
• Point-Particle Effective Field Theory III: Relativistic Fermions and the Dirac Equation
• Hyperfine splitting in ordinary and muonic hydrogen
• Deuterium spectroscopy for enhanced bounds on physics beyond the Standard Model
• Corrections of two-photon interactions in the fine and hyperfine structure of the P-energy levels of muonic hydrogen
• Muonic bound systems, virtual particles and proton radius
• Light Sea Fermions in Electron-Proton and Muon-Proton Interactions
• Precision calculation of the recoil--finite-size correction for the hyperfine splitting in muonic and electronic hydrogen
• Radiative nonrecoil nuclear finite size corrections of order $\alpha (Z\alpha {)}^5$ to the Lamb shift in light muonic atoms
• Restrained Dark $U(1{)}_d$ at Low Energies
• $\Delta (1232)$-Resonance in the Hydrogen Spectrum
• Breakdown of the expansion of finite-size corrections to the hydrogen Lamb shift in moments of charge distribution
• Axial-vector exchange contribution to the Hyperfine Splitting
• Reduced Theoretical Error for QED Tests with 4He+ Spectroscopy
• Low energy doubly-virtual Compton scattering from di-lepton electroproduction on a nucleon
• Line shape analysis of the K$\beta$ transition in muonic hydrogen
• Muonic hydrogen and the proton size
• A theory vade mecum for PSI experiments
• Bound-state field theory approach to proton structure effects in muonic hydrogen
• Ground state hyperfine structure of light muon-electron ions
• Looking at QED with Dyson-Schwinger equations: basic equations, Ward-Takahashi identities and the two-photon-two-fermion irreducible vertex
• Light Mediators in Anomaly Free $U(1{)}_X$ Models II - Constraints on Dark Gauge Bosons
• Effects of Non-Commutativity on Light-Hydrogen-Like Atoms and Proton Radius
• Virtual Compton scattering at low energies with a positron beam
• Muonic hydrogen as a quantum gravimeter
• Precision Nuclear-Spin Effects in Atoms: EFT Methods for Reducing Theory Errors
• Hadronic deuteron polarizability contribution to the Lamb shift in muonic deuterium
• Energy interval 3S-1S in muonic hydrogen
• Hyperfine splitting in muonic hydrogen constrains new pseudoscalar interactions
• Soft-photon radiative corrections to the $e^{-}p\to e^{-}p{l}^{-}{l}^{+}$ process
• Laser excitation of the 1s-hyperfine transition in muonic hydrogen
• Comment on "Nucleon spin-averaged forward virtual Compton tensor at large Q^2"
• The contribution of pseudoscalar and axial-vector mesons to hyperfine structure of muonic hydrogen
• Ground state hyperfine structure in muonic lithium ions
• Proton Radius from Muonic Hydrogen Spectroscopy and Effect of Atomic Nucleus Motion
• The correction of hadronic nucleus polarizability to hyperfine structure of light muonic atoms
• Reply to "Comment on `Breakdown of the expansion of finite-size corrections to the hydrogen Lamb shift in moments of charge distribution'"
• Nuclear deformation effects on charge radius measurements of the proton and deuteron
• A reassessment of nuclear effects in muonic deuterium using pionless effective field theory at N3LO