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.
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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).
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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
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DOI: https://doi.org/10.1134/S1547477110020019