Higher order proton structure corrections to the Lamb shift in muonic hydrogen

Abstract

The recent conundrum with the proton charge radius inspires reconsideration of the corrections that enter into determinations of the proton size. We study the two-photon proton-structure corrections, with special consideration of the non-pole subtraction term in the dispersion relation, and using fits to modern data to evaluate the energy contributions. We find that individual contributions change more than the total, and present results with error estimates.

4 pages, 3 figures

References in corpus (7)

• 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
• Charged pion form factor between Q^2=0.60 and 2.45 GeV^2. II. Determination of, and results for, the pion form factor
• Lamb Shift in Muonic Hydrogen. I. Verification and Update of Theoretical Predictions
• Forward virtual Compton scattering and the Lamb shift in chiral perturbation theory
• Lamb Shift in Muonic Hydrogen. II. Analysis of the Discrepancy of Theory and Experiment
• Natural Resolution of the Proton Size Puzzle

Cited by in corpus (81)

• 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
• Theory of the 2S-2P Lamb shift and 2S hyperfine splitting in muonic hydrogen
• The proton charge radius
• Theoretical Constraints and Systematic Effects in the Determination of the Proton Form Factors
• Proton polarisability contribution to the Lamb shift in muonic hydrogen at fourth order in chiral perturbation theory
• Lamb Shift in Light Muonic Atoms - Revisited
• Nucleon Polarizabilities: from Compton Scattering to Hydrogen Atom
• Model independent extraction of the proton magnetic radius from electron scattering
• Model independent analysis of proton structure for hydrogenic bound states
• The Electromagnetic Self-Energy Contribution to M_p - M_n and the Isovector Nucleon Magnetic Polarizability
• Chiral perturbation theory of muonic hydrogen Lamb shift: polarizability contribution
• The NRQED lagrangian at order 1/M^4
• Subtracted dispersion relation formalism for the two-photon exchange correction to elastic electron-proton scattering: comparison with data
• Constraints on muon-specific dark forces
• The two-photon exchange contribution to muonic hydrogen from chiral perturbation theory
• Nuclear structure contribution to the Lamb shift in muonic deuterium
• Proton Polarizability Contribution: Muonic Hydrogen Lamb Shift and Elastic Scattering
• The proton structure in and out of muonic hydrogen
• Non-perturbative evaluation of some QED contributions to the muonic hydrogen $\mathbf{n}=2$ Lamb shift and hyperfine structure
• 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
• Nuclear polarization corrections in the mu-4He+ Lamb shift
• Two-photon exchange correction in elastic unpolarized electron-proton scattering at small momentum transfer
• Nuclear structure effects in light muonic atoms
• The nucleon and Delta(1232) form factors at low momentum-transfer and small pion masses
• Natural Resolution of the Proton Size Puzzle
• Nuclear Polarization Corrections to mu-d Atoms in Zero-Range Approximation
• Two-photon exchange correction to the Lamb shift and hyperfine splitting of S levels
• Proton radius from electron-proton scattering and chiral perturbation theory
• Ab initio calculation of nuclear structure corrections in muonic atoms
• 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 contribution to elastic $e^{-}$-proton scattering: Full dispersive treatment of $\pi N$ states and comparison with data
• The proton radius (puzzle?) and its relatives
• Nucleon spin-averaged forward virtual Compton tensor at large $Q^2$
• Review of experimental and theoretical status of the proton radius puzzle
• Two-photon exchange correction to muon-proton elastic scattering at low momentum transfer
• Two-photon exchange correction to the hyperfine splitting in muonic hydrogen
• Two-photon exchange correction to $2S$-$2P$ splitting in muonic helium-3 ions
• Dispersion Theory in Electromagnetic Interactions
• Nuclear structure corrections to the Lamb shift in ${\mu }^3$He${}^{+}$ and ${\mu }^3$H
• Dispersion relation formalism for the two-photon exchange correction to elastic muon-proton scattering: elastic intermediate state
• Dispersive estimate of the electromagnetic charge symmetry violation in the octet baryon masses
• Forward two-photon exchange in elastic lepton-proton scattering and hyperfine-splitting correction
• Two-photon exchange corrections to elastic $e^{-}$-proton scattering: Full dispersive treatment of $\pi N$ states at low momentum transfers
• Why three-body physics do not solve the proton radius puzzle
• Theory of the n=2 levels in muonic helium-3 ions
• Weak Interaction Contributions in Light Muonic Atoms
• Dispersive evaluation of the Lamb shift in muonic deuterium from chiral effective field theory
• Experiments towards resolving the proton charge radius puzzle
• Forward sum rule for the $2\gamma$-exchange correction to the charge radius extraction from elastic electron scattering
• The recoil correction to the proton-finite-size contribution to the Lamb shift in muonic hydrogen
• Model independent determination of the muonic hydrogen Lamb shift and proton radius
• 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
• Hyperfine splitting in ordinary and muonic hydrogen
• Point-Particle Effective Field Theory III: Relativistic Fermions and the Dirac Equation
• Systematic study of octet-baryon electromagnetic form factors in covariant chiral perturbation theory
• A self-consistent value of the electric radius of the proton from the Lamb shift in muonic hydrogen
• Forward doubly-virtual Compton scattering off the nucleon in chiral perturbation theory: the subtraction function and moments of unpolarized structure functions
• Two-photon exchange on neutron and the hyperfine splitting
• $\Delta (1232)$-Resonance in the Hydrogen Spectrum
• The subtraction contribution to the muonic-hydrogen Lamb shift: a point for lattice QCD calculations of the polarizability effect
• Reduced Theoretical Error for QED Tests with 4He+ Spectroscopy
• Nucleon in a periodic magnetic field: Finite-volume aspects
• Finite volume corrections to forward Compton scattering off the nucleon
• Low energy doubly-virtual Compton scattering from di-lepton electroproduction on a nucleon
• Elements of QED-NRQED Effective Field Theory: II. Matching of Contact Interactions
• Nuclear Quasi-Elastic Electron Scattering Limits Nucleon Off-Mass Shell Properties
• Two-photon exchange in (muonic) deuterium at N3LO in pionless effective field theory
• First concurrent extraction of the leading-order scalar and spin proton polarizabilities
• Bound-state field theory approach to proton structure effects in muonic hydrogen
• Nucleon Polarizabilities: Theory
• Virtual Compton scattering at low energies with a positron beam
• Looking at QED with Dyson-Schwinger equations: basic equations, Ward-Takahashi identities and the two-photon-two-fermion irreducible vertex
• Lattice QCD calculation of the Compton amplitude subtraction function
• Soft-photon radiative corrections to the $e^{-}p\to e^{-}p{l}^{-}{l}^{+}$ process
• Comment on "Nucleon spin-averaged forward virtual Compton tensor at large Q^2"
• Nuclear deformation effects on charge radius measurements of the proton and deuteron