Subtracted dispersion relation formalism for the two-photon exchange correction to elastic electron-proton scattering: comparison with data

Abstract

We apply a subtracted dispersion relation formalism with the aim to improve predictions for the two-photon exchange corrections to elastic electron-proton scattering observables at finite momentum transfers. We study the formalism on the elastic contribution, and make a detailed comparison with existing data for unpolarized cross sections as well as polarization transfer observables.

49 pages, 26 figures, version published in Eur. Phys. J. A 51, no. 2, 24 (2015)

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• A dispersive approach to two-photon exchange in elastic electron-proton scattering
• Two-photon exchange correction in elastic unpolarized electron-proton scattering at small momentum transfer
• An experimental program with high duty-cycle polarized and unpolarized positron beams at Jefferson Lab
• Evaluation of the strength of electron-proton scattering data for determining the proton charge radius
• Effective field theory for large logarithms in radiative corrections to electron proton scattering
• Two-photon exchange contribution to elastic $e^{-}$-proton scattering: Full dispersive treatment of $\pi N$ states and comparison with data
• Two-photon exchange corrections in elastic muon-proton scattering
• The proton radius (puzzle?) and its relatives
• Dispersion relation formalism for the two-photon exchange correction to elastic muon-proton scattering: elastic intermediate state
• Two-photon exchange from intermediate state resonances in elastic electron-proton scattering
• Two-photon exchange corrections to elastic $e^{-}$-proton scattering: Full dispersive treatment of $\pi N$ states at low momentum transfers
• PRad-II: A New Upgraded High Precision Measurement of the Proton Charge Radius
• Sum rule for the Compton amplitude and implications for the proton-neutron mass difference
• Lepton-Proton Two-Photon Exchange in Chiral Perturbation Theory
• Phenomenological extraction of two-photon exchange amplitudes from elastic electron-proton scattering cross section data
• Electron screening effect on stellar thermonuclear fusion
• Corrections of two-photon interactions in the fine and hyperfine structure of the P-energy levels of muonic hydrogen
• Target-normal single-spin asymmetry in elastic electron-nucleon scattering
• How much two-photon exchange is needed to resolve the proton form factor discrepancy?
• Soft-photon corrections to the Bethe-Heitler process in the $\gamma p\to l^{+}{l}^{-}p$ reaction
• Two-photon exchange correction in elastic lepton-proton scattering
• Understanding the systematic differences in extractions of the proton electric form factors at low-$Q^2$
• Study of Two-Photon Exchange via the Beam Transverse Single Spin Asymmetry in Electron-Proton Elastic Scattering at Forward Angles over a Wide Energy Range
• Lepton mass effects for beam-normal single-spin asymmetry in elastic muon-proton scattering
• Radiative Correction to Lepton Proton Scatterings in Manifestly Lorentz-Invariant Chiral Perturbation Theory
• Two photon exchange in elastic electron scattering off hadronic systems
• Radiative corrections to elastic muon-proton scattering at low momentum transfers
• Target-Normal Single Spin Asymmetries Measured with Positrons
• Polarization transfer in ${\vec{e}}^{+}p\to e^{+}\vec{p}$ scattering using the Super BigBite Spectrometer
• Two-Photon-Exchange effects in $ep\to en{\pi }^{+}$ and their corrections to separated cross sections ${\sigma }_{\text{L,T,LT,TT}}$ at small $-t$
• Lowest-order QED radiative corrections in unpolarized elastic electron-deuteron scattering beyond the ultra-relativistic limit for the proposed deuteron charge radius measurement at Jefferson Laboratory
• Differential Cross Section Predictions for PRad-II from Dispersion Theory
• Polarization Observables using Positron Beams
• Impact of new particles on the ratio of Electromagnetic form factors
• Resonance Contributions to Radiative Corrections in Charged-Current Elastic (Anti)Neutrino-Nucleon Scattering at GeV Energies
• Exact Relations for Two-Photon-Exchange Effect in Elastic $ep$ Scattering by Dispersion Relation and Hadronic Model