A dispersive approach to two-photon exchange in elastic electron-proton scattering

Abstract

We examine the two-photon exchange corrections to elastic electron-proton scattering within a dispersive approach, including contributions from both Nucleon and Delta intermediate states. The dispersive analysis avoids off-shell uncertainties inherent in traditional approaches based on direct evaluation of loop diagrams, and guarantees the correct unitary behavior in the high energy limit. Using empirical information on the electromagnetic nucleon elastic and N-Delta transition form factors, we compute the two-photon exchange corrections both algebraically and numerically. Results are compared with recent measurements of e+p to e-p cross section ratios from the CLAS, VEPP-3 and OLYMPUS experiments, as well as with polarization transfer observables.

48 pages, 32 figures

References in corpus (19)

• High-precision determination of the electric and magnetic form factors of the proton
• OneLOop: for the evaluation of one-loop scalar functions
• Electromagnetic excitation of the Delta(1232)-resonance
• Global analysis of proton elastic form factor data with two-photon exchange corrections
• Two-Photon Physics in Hadronic Processes
• Theoretical Constraints and Systematic Effects in the Determination of the Proton Form Factors
• Measurement of the two-photon exchange contribution to the elastic $e^{\pm }p$ scattering cross sections at the VEPP-3 storage ring
• Two-photon exchange in elastic electron-proton scattering
• Search for effects beyond the Born approximation in polarization transfer observables in $\vec{e}p$ elastic scattering
• Hard Two-Photon Contribution to Elastic Lepton-Proton Scattering: Determined by the OLYMPUS Experiment
• Realistic Transverse Images of the Proton Charge and Magnetic Densities
• Two-photon exchange in dispersion approach
• Contribution of spin 1/2 and 3/2 resonances to two-photon exchange effects in elastic electron-proton scattering
• Gamma-Z box contributions to parity violating elastic e-p scattering
• On Delta resonance contribution to two-photon exchange amplitude
• Two-photon exchange corrections in elastic muon-proton scattering
• Analyzing power in elastic scattering of the electrons off a spin-0 target
• Dispersive contributions to $e^{+}p/e^{-}p$ cross section ratio in forward regime
• Two-photon-exchange effects in the unpolarized $\mu p$ scattering within the hadronic model

Cited by in corpus (29)

• Two-photon exchange in elastic electron-proton scattering
• Polarization Transfer Observables in Elastic Electron Proton Scattering at $Q^2=$2.5, 5.2, 6.8, and 8.5 GeV${}^2$
• Parameterization and applications of the low-$Q^2$ nucleon vector form factors
• An experimental program with high duty-cycle polarized and unpolarized positron beams at Jefferson Lab
• Two-photon exchange contribution to elastic $e^{-}$-proton scattering: Full dispersive treatment of $\pi N$ states and comparison with data
• Dispersion relation formalism for the two-photon exchange correction to elastic muon-proton scattering: elastic intermediate state
• Charge asymmetry in elastic scattering of massive leptons on protons
• Two-photon exchange from intermediate state resonances in elastic electron-proton scattering
• Forward two-photon exchange in elastic lepton-proton scattering and hyperfine-splitting correction
• Target-normal single-spin asymmetry in elastic electron-nucleon scattering
• How much two-photon exchange is needed to resolve the proton form factor discrepancy?
• Determination of two-photon exchange via $e^{+}p/e^{-}p$ Scattering with CLAS12
• Two-photon exchange effects in $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}$ and time-like pion electromagnetic form factor
• Lepton mass effects for beam-normal single-spin asymmetry in elastic muon-proton scattering
• Target-Normal Single Spin Asymmetries Measured with Positrons
• Dispersive Corrections to the Born Approximation in Elastic Electron-Nucleus Scattering in the Intermediate Energy Regime
• Radiative corrections to elastic muon-proton scattering at low momentum transfers
• 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 $-t$
• Polarization Observables using Positron Beams
• Impact of new particles on the ratio of Electromagnetic form factors
• Two-Photon Exchange: Future experimental prospects
• Direct TPE Measurement via $e^{+}p/e^{-}p$ Scattering at low $\epsilon$ in Hall A
• Resonance Contributions to Radiative Corrections in Charged-Current Elastic (Anti)Neutrino-Nucleon Scattering at GeV Energies
• Radiative corrections in proton--antiproton annihilation to electron-positron and their application to the PANDA experiment
• Exact Relations for Two-Photon-Exchange Effect in Elastic $ep$ Scattering by Dispersion Relation and Hadronic Model
• Two-photon exchange effects in $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}$ at small $\sqrt{s}$
• Positron Beams and Two-Photon Exchange: The Key to Precision Form Factors
• Charged-averaged elastic lepton-proton scattering cross section results from OLYMPUS