Abstract
In this note we give arguments in favor of the statement that the contribution of the box diagram calculated for electron-muon elastic scattering can be considered an upper limit to electron-proton scattering. As an exact QED calculation can be performed, this statement is useful for constraining model calculations involving the proton structure.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
A. De Rujula, J. M. Kaplan, and E. De Rafael, “Elastic Scattering of Electrons from Polarized Protons and Inelastic Electron Scattering Experiments,” Nucl. Phys. B 35, 365 (1971); Nucl. Phys. B 53, 545 (1973).
M. K. Jones et al., Phys. Rev. Lett. 84, 1398 (2000); O. Gayou et al., Phys. Rev. Lett. 88, 092301 (2002); V. Punjabi et al., “Proton Elastic Form Factor Ratios to Q 2 = 3.5 GeV2 by Polarization Transfer,” Phys. Rev. C 71, 055202 (2005); Phys. Rev. C 71, 069902(E) (2005).
E. Tomasi-Gustafsson and G. I. Gakh, “Search for Evidence of Two-Photon Contribution in Elastic Electron-Proton Data,” Phys. Rev. C 72, 015209 (2006).
S. P. Wells et al. (SAMPLE Collab.), Phys. Rev. C 63, 064001 (2001); F. E. Maas et al., “Measurement of the Transverse Beam Spin Asymmetry in Elastic Electron-Proton Scattering and the Inelastic Contribution to the Imaginary Part of the Two-Photon Exchange Amplitude,” Phys. Rev. Lett. 94, 082001 (2005).
A. V. Afanasev and N. P. Merenkov, “Large Logarithms in the Beam Normal Spin Asymmetry of Elastic Electron-Proton Scattering,” Phys. Rev. D: Part. Fields 70, 073002 (2004); M. Gorchtein, “Doubly Virtual Compton Scattering and the Beam Normal Spin Asymmetry,” Phys. Rev. C 73, 035213 (2006); D. Borisyuk and A. Kobushkin, “Beam Normal Spin Asymmetry of Elastic eN Scattering in the Leading Logarithm Approximation, Phys. Rev. C 73, 045210 (2006); B. Pasquini and M. Vanderhaeghen, “Resonance Estimates for Single Spin Asymmetries in Elastic Electron-Nucleon Scattering,” Phys. Rev. C 70, 045206 (2004).
E. Kuraev et al., “Double Logarithmical Corrections to Beam Asymmetry in Polarized Electron-Proton Scattering,” Phys. Lett. B 655, 196 (2007).
T. Kinoshita, J. Math. Phys. 3, 650 (1962); T. D. Lee and M. Nauenberg, Phys. Rev. B 133, 1549 (1964).
M. P. Rekalo, E. Tomasi-Gustafsson, and D. Prout, Phys. Rev. C 60, 042202(R) (1999).
M. P. Rekalo and E. Tomasi-Gustafsson, “Model Independent Properties of Two-Photon Exchange in Elastic Electron-Proton Scattering,” Eur. Phys. J. A 22, 331 (2004); M. P. Rekalo and E. Tomasi-Gustafsson, “The Complete Experiment for e±N Elastic Scattering in Presence of Two-Photon Exchange,” Nucl. Phys. A 740, 271 (2004); M. P. Rekalo and E. Tomasi-Gustafsson, “Polarization Phenomena in Elastic e ± N Scattering, for Axial Parametrization of Two-Photon Exchange,” Nucl. Phys. A 742, 322 (2006).
E. A. Kuraev et al., “Target Normal Spin Asymmetry and Charge Asymmetry for ep Elastic Scattering and the Crossed Processes,” Phys. Rev. D: Part. Fields 74, 013003 (2006).
N. M. Kroll, Nuovo Cim. A 45, 65 (1966).
V. N. Baier et al., “Inelastic Processes in Quantum Electrodynamics at High Energies,” Phys. Rep. 78, 293 (1981).
E. A. Kuraev, M. Secansky, and E. Tomasi-Gustafsson, “High-Energy Inelastic Eleclron-Hadron Scattering, in Peripheral Kinematics: Sum Rules for Hadron Form Factors,” Phys. Rev. D: Part. Fields 73, 125016 (2006) and refs. therein; E. A. Kuraev et al., “Charge Asymmetry for Electron (Positron)-Proton Elastic Scattering at Large Angle,” Phys. Rev. C 78, 015205 (2008).
P. Van Nieuwenhuizen, Nucl. Phys. B 28, 429 (1971).
P. G. Blunden, W. Melnilchouk, and J. A. Tjon, “Two-Photon Exchange and Elastic Electron-Proton Scattering,” Phys. Rev. Lett. 91, 142304 (2003); Y.-C. Chen et al., Phys. Rev. Lett. 93, 122301 (2004); P. A.M.Guichon and M. Vanderhaeghen, “How to Reconcile the Rosenbluth and the Polarization Transfer Method in the Measurement of the Proton Form Factors,” Phys. Rev. Lett. 91, 142303 (2003); D. Borisyuk and A. Kobushkin, “Box Diagram in the Elastic Electron-Proton Scattering,” Phys. Rev. C 74, 065203 (2006).
V. A. Matveev, R. M. Muradian, and A. N. Tavkhelidze, “Automodellism in the Large-Angle Elastic Scattering and Structure of Hadrans,” Lett. Nuovo Cim. 7, 719 (1973); S. J. Brodsky and G. R. Farrar, “Scaling Laws at Large Transverse Momentum,” Phys. Rev. Lett. 31, 1153 (1973).
Author information
Authors and Affiliations
Corresponding author
Additional information
The article was translated by the authors.
Rights and permissions
About this article
Cite this article
Kuraev, E.A., Tomasi-Gustafsson, E. The two-photon exchange amplitude in ep and eμ elastic scattering: A comparison. Phys. Part. Nuclei Lett. 7, 67–71 (2010). https://doi.org/10.1134/S1547477110020019
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1547477110020019