Differential Cross Section Predictions for PRad-II from Dispersion Theory

Abstract

We predict the differential cross sections for $e^{-}p$ and $e^{+}p$ elastic scattering in the PRad-\Rom{2} energy region. The prediction is based on form factors obtained in our previous high-precision analysis of space- and time-like data from dispersion theory and different sets of two-photon exchange corrections. We investigate the sensitivity of the cross sections to two-photon exchange effects and find that the differences between model calculations and phenomenological extractions of the two-photon corrections can not be resolved if the uncertainty in the form factors is taken into account.

arXiv comment7 pages, 3 figures

References in corpus (23)

• The electric and magnetic form factors of the proton
• Roy-Steiner-equation analysis of pion-nucleon scattering
• Dispersion analysis of the nucleon form factors including meson continua
• Radiative Corrections to Electron-Proton Scattering
• Study of e+e- --> p anti-p via initial-state radiation at BABAR
• Defining the Proton Radius: a Unified Treatment
• Theoretical Constraints and Systematic Effects in the Determination of the Proton Form Factors
• Two-photon exchange in elastic electron-proton scattering
• On the pi pi continuum in the nucleon form factors and the proton radius puzzle
• New insights into the nucleon's electromagnetic structure
• Nucleon Electromagnetic Form Factors in the Timelike Region
• Subtracted dispersion relation formalism for the two-photon exchange correction to elastic electron-proton scattering: comparison with data
• Measurement of proton electromagnetic form factors in the time-like region using initial state radiation at BESIII
• Isovector electromagnetic form factors of the nucleon from lattice QCD and the proton radius puzzle
• Dispersion-theoretical analysis of the electromagnetic form factors of the nucleon: Past, present and future
• Two-photon exchange correction in elastic unpolarized electron-proton scattering at small momentum transfer
• The proton radius: From a puzzle to precision
• Second-Order Leptonic Radiative Corrections for Lepton-Proton Scattering
• PRad-II: A New Upgraded High Precision Measurement of the Proton Charge Radius
• On higher order radiative corrections to elastic electron-proton scattering
• The Structure of the Nucleon: Elastic Electromagnetic Form Factors
• Elastic Positron-Proton Scattering at Low Q${}^2$
• Improved radiative corrections for (e,e'p) experiments - A novel approach to multi-photon bremsstrahlung

Cited by in corpus (1)

• Understanding the systematic differences in extractions of the proton electric form factors at low-$Q^2$