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Title: Dispersive approach to two-photon exchange in elastic electron-proton scattering

Journal Article · · Physical Review C
 [1];  [2]
  1. Univ. of Manitoba, Winnipeg, MB (Canada); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
  2. Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

We examine the two-photon exchange corrections to elastic electron-nucleon scattering within a dispersive approach, including contributions from both nucleon and Δ 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 NΔ transition form factors, we compute the two-photon exchange corrections both algebraically and numerically. Finally, results are compared with recent measurements of e+ p to e- p cross section ratios from the CLAS, VEPP-3 and OLYMPUS experiments.

Research Organization:
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Nuclear Physics (NP)
Grant/Contract Number:
AC05-06OR23177
OSTI ID:
1364116
Alternate ID(s):
OSTI ID: 1363977
Report Number(s):
JLAB-THY-17-2430; DOE/OR/23177-4083; arXiv:1703.06181; PRVCAN
Journal Information:
Physical Review C, Vol. 95, Issue 6; ISSN 2469-9985
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 35 works
Citation information provided by
Web of Science

References (112)

γ Z corrections to forward-angle parity-violating e p scattering journal July 2010
Analyzing power in elastic scattering of electrons off a spin-0 target journal April 2008
Quark–hadron duality constraints on γZ box corrections to parity-violating elastic scattering journal February 2016
Measurement of G E p / G M p in e p e p to Q 2 = 5.6 GeV 2 journal February 2002
Contribution of spin 1/2 and 3/2 resonances to two-photon exchange effects in elastic electron-proton scattering journal March 2007
Two-Photon Exchange and Elastic Electron-Proton Scattering journal October 2003
Measurement of the Two-Photon Exchange Contribution to the Elastic e ± p Scattering Cross Sections at the VEPP-3 Storage Ring journal February 2015
Infrared divergent scalar box integrals with applications in the electroweak standard model journal July 1990
Two-Photon-Exchange Correction to Parity-Violating Elastic Electron-Proton Scattering journal June 2005
G E p / G M p Ratio by Polarization Transfer in e p e p journal February 2000
Dispersive contributions to <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msup><mml:mi>e</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:mi>p</mml:mi><mml:mo stretchy="false">/</mml:mo><mml:msup><mml:mi>e</mml:mi><mml:mo>−</mml:mo></mml:msup><mml:mi>p</mml:mi></mml:math> cross section ratio in forward regime journal January 2007
Δ -resonance contribution to the two-photon exchange amplitude journal November 2012
Pion photoproduction on nucleons in a covariant hadron-exchange model journal September 2004
Subtracted dispersion relation formalism for the two-photon exchange correction to elastic electron-proton scattering: Comparison with data journal February 2015
Nucleon charge and magnetization densities from Sachs form factors journal December 2002
Scattering of positrons and electrons from protons journal August 1967
Model dependence of the γ Z dispersion correction to the parity-violating asymmetry in elastic e p scattering journal July 2011
Constrained γ Z interference corrections to parity-violating electron scattering journal July 2013
Two-photon-exchange effects in the unpolarized μ p scattering within a hadronic model journal February 2017
Multipole γN-Δ form factors and resonant photo- and electroproduction journal November 1973
Two-photon exchange measurements with positrons and electrons
  • Arrington, John; Elouadrhiri, Latifa; Grames, Jospeh
  • INTERNATIONAL WORKSHOP ON POSITRONS AT JEFFERSON LAB, AIP Conference Proceedings https://doi.org/10.1063/1.3232022
conference January 2009
Hard Two-Photon Contribution to Elastic Lepton-Proton Scattering Determined by the OLYMPUS Experiment journal March 2017
Backward scattering of positrons and electrons on protons journal January 1968
Comparison of neural network and hadronic model predictions of the two-photon exchange effect journal December 2013
OneLOop: For the evaluation of one-loop scalar functions journal November 2011
How to Reconcile the Rosenbluth and the Polarization Transfer Methods in the Measurement of the Proton Form Factors journal October 2003
Two-photon exchange in a dispersion approach journal August 2008
Two-Photon Exchange in Electron-Proton Scattering journal August 1969
Scalar one-loop integrals journal January 1979
Higher Electromagnetic Corrections to Electron-Proton Scattering journal January 1959
Hadronic γZ box corrections in Møller scattering journal April 2014
Positron-Proton Scattering journal August 1965
Erratum to: “Hadronic γZ box corrections in Møller scattering” [Phys. Lett. B 731 (2014) 287–292] journal June 2014
Search for Effects Beyond the Born Approximation in Polarization Transfer Observables in e p Elastic Scattering journal March 2011
Two-photon exchange contribution to elastic electron-nucleonscattering at large momentum transfer journal July 2005
Simple parametrization of nucleon form factors journal December 2004
Measurement of the N Δ + ( 1232 ) Transition at High-Momentum Transfer by π 0 Electroproduction journal September 2006
Dispersion γ Z -Box Correction to the Weak Charge of the Proton journal March 2009
Radiative Corrections to Electron-Proton Scattering journal June 1961
Two-photon exchange in elastic electron–proton scattering journal July 2017
Scattering of Positrons and Electrons from Protons journal August 1966
γ * N Δ form factors from a relativistic dynamical model of pion electroproduction journal September 2004
Electron Scattering from the Proton journal April 1955
New developments in FeynCalc 9.0 journal October 2016
Two-photon exchange corrections in elastic muon-proton scattering journal July 2014
Feyn Calc - Computer-algebraic calculation of Feynman amplitudes journal June 1991
Electroproduction of the Δ ( 1232 ) Resonance at High Momentum Transfer journal January 1999
Q 2 Dependence of Quadrupole Strength in the γ * p Δ + ( 1232 ) p π 0 Transition journal March 2002
Two-Photon Physics in Hadronic Processes journal November 2007
One-loop corrections for e+e− annihilation into μ+μ− in the Weinberg model journal November 1979
Package-X: A Mathematica package for the analytic calculation of one-loop integrals journal December 2015
$\Delta (1232)$ resonance contribution to two-photon exchange in electron-proton scattering revisited journal August 2015
Comparison of Electron-Proton and Positron-Proton Elastic Scattering at Four-Momentum Transfers up to 5.0 ( G e V / c ) 2 journal August 1968
Theoretical constraints and systematic effects in the determination of the proton form factors journal January 2015
Detailed analysis of two-boson exchange in parity-violating e - p scattering journal May 2009
Collier: A fortran-based complex one-loop library in extended regularizations journal March 2017
Two-photon exchange corrections to elastic e -proton scattering: Full dispersive treatment of π N states at low momentum transfers journal May 2017
Radiative Corrections to Elastic and Inelastic ep and up Scattering journal January 1969
Realistic transverse images of the proton charge and magnetization densities journal January 2011
Electroexcitation of nucleon resonances journal January 2012
High-Precision Determination of the Electric and Magnetic Form Factors of the Proton journal December 2010
Δ Resonance Contribution to Two-Photon Exchange in Electron-Proton Scattering journal October 2005
QCDLoop: A comprehensive framework for one-loop scalar integrals journal December 2016
Meson Exchange Effects in Two-Nucleon States journal November 1958
Accuracy of Radiative Corrections to Electromagnetic Scattering from Protons journal April 1969
Determination of the Pion-Nucleon Scattering Amplitude from Dispersion Relations and Unitarity. General Theory journal November 1958
Two-photon exchange in elastic electron-nucleon scattering journal September 2005
Two-photon exchange contribution in elastic electron-proton scattering, experiment at the VEPP-3 storage ring journal January 2014
Measurement of two-photon exchange effect by comparing elastic e ± p cross sections journal June 2017
Radiative corrections to electron-proton scattering journal October 2000
Two-photon-exchange amplitude with π N intermediate states: P 33 channel journal February 2014
Automated one-loop calculations in four and D dimensions journal May 1999
Improved Treatment for the Infrared-Divergence Problem in Quantum Electrodynamics journal December 1973
Contribution of two-boson exchange with Δ ( 1232 ) excitation to parity-violating elastic electron-proton scattering journal June 2009
Global analysis of proton elastic form factor data with two-photon exchange corrections journal September 2007
Two-photon exchange amplitude with π N intermediate states: Spin-1/2 and spin-3/2 channels journal September 2015
Electromagnetic excitation of the Δ(1232)-resonance journal January 2007
Partonic Calculation of the Two-Photon Exchange Contribution to Elastic Electron-Proton Scattering at Large Momentum Transfer journal September 2004
Contributions from γ Z box diagrams to parity violating elastic e p scattering journal June 2011
Empirical fit to the nucleon electromagnetic form factors journal January 1995
Review of two-photon exchange in electron scattering journal October 2011
Effect of Two-Boson Exchange on Parity-Violating e p Scattering journal February 2008
New empirical fits to the proton electromagnetic form factors journal April 2002
Asymptotic Behavior and Subtractions in the Mandelstam Representation journal August 1961
High-precision determination of the electric and magnetic form factors of the proton
  • Bernauer, Jan C.; Hosaka, Atsushi; Khemchandani, Kanchan
  • INTERNATIONAL CONFERENCE ON THE STRUCTURE OF BARYONS (BARYONS' 10), AIP Conference Proceedings https://doi.org/10.1063/1.3647361
conference January 2011
Hard two-photon contribution to elastic lepton-proton scattering determined by the OLYMPUS experiment journal February 2018
Radiative Corrections to Electron-Proton Scattering journal March 1962
Positron-Proton Scattering journal February 1964
Measurement of two-photon exchange effect by comparing elastic e±p cross sections text January 2017
Two-photon exchange in elastic electron-proton scattering journal February 2005
Hard Two-Photon Contribution to Elastic Lepton-Proton Scattering Determined by the OLYMPUS Experiment text January 2016
Effect of two-boson exchange on parity-violating e-p scattering text January 2007
Two-photon exchange measurements with positrons and electrons text January 2009
High-precision determination of the electric and magnetic form factors of the proton text January 2010
Search for effects beyond the Born approximation in polarization transfer observables in $\vec{e}p$ elastic scattering text January 2010
Review of two-photon exchange in electron scattering text January 2011
Comparison of Neural Network and Hadronic Model Predictions of Two-Photon Exchange Effect text January 2013
Subtracted dispersion relation formalism for the two-photon exchange correction to elastic electron-proton scattering: comparison with data text January 2014
Measurement of the two-photon exchange contribution to the elastic $e^{\pm}p$ scattering cross sections at the VEPP-3 storage ring text January 2014
Package-X: A Mathematica package for the analytic calculation of one-loop integrals text January 2015
Collier: a fortran-based Complex One-Loop LIbrary in Extended Regularizations text January 2016
QCDLoop: a comprehensive framework for one-loop scalar integrals text January 2016
Hard Two-Photon Contribution to Elastic Lepton-Proton Scattering: Determined by the OLYMPUS Experiment text January 2016
Two-photon exchange in elastic electron-proton scattering text January 2017
New empirical fits to the proton electromagnetic form factors text January 2001
Electroproduction of the Delta Resonance at High Momentum Transfer text January 1998
Partonic calculation of the two-photon exchange contribution to elastic electron-proton scattering at large momentum transfer text January 2004
Two-Photon-Exchange Correction to Parity-Violating Elastic Electron-Proton Scattering text January 2005
Electromagnetic excitation of the Delta(1232)-resonance text January 2006
Radiative Corrections to Electron-Proton Scattering text January 2000
$Δ$ resonance contribution to two-photon exchange in electron-proton scattering text January 2005
Two-photon exchange in elastic electron-nucleon scattering text January 2005

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