Large Logarithms in the Beam Normal Spin Asymmetry of Elastic Electron--Proton Scattering

Abstract

We study a parity-conserving single-spin beam asymmetry of elastic electron-proton scattering induced by an absorptive part of the two-photon exchange amplitude. It is demonstrated that excitation of inelastic hadronic intermediate states by the consecutive exchange of two photons leads to logarithmic and double-logarithmic enhancement due to contributions of hard collinear quasi-real photons. The asymmetry at small electron scattering angles is expressed in terms of the total photoproduction cross section on the proton, and is predicted to reach the magnitude of 20-30 parts per million. At these conditions and fixed 4-momentum transfers, the asymmetry is rising logarithmically with increasing electron beam energy, following the high-energy diffractive behavior of total photoproduction cross section on the proton.

arXiv comment10 pages, 6 figures; typos fixed, a reference added

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Cited by in corpus (21)

• The two-photon exchange contribution to elastic electron-nucleon scattering at large momentum transfer
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• Model-dependence of the $\gamma Z$ dispersion correction to the parity-violating asymmetry in elastic $ep$ scattering
• Transverse target spin asymmetry in inclusive DIS with two-photon exchange
• 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
• Transverse single spin asymmetries in inclusive deep-inelastic scattering
• The Vector Analyzing Power in Elastic Electron-Proton Scattering
• Beam normal spin asymmetry in the quasi-RCS approximation
• Single--Spin Asymmetries in the Bethe--Heitler Process $e^{-}+p\to e^{-}+\gamma +p$ from QED Radiative Corrections
• Doubly virtual Compton scattering and the beam normal spin asymmetry
• Beam-normal single-spin asymmetry in elastic scattering of electrons from a spin-0 nucleus
• Beam-Normal Single Spin Asymmetry in Elastic Electron Scattering off ${}^{28}$Si and ${}^{90}$Zr
• Beam normal spin asymmetry of elastic $eN$ scattering in the leading logarithm approximation
• The two photon exchange amplitude in $ep$ and $e\mu$ elastic scattering: a comparison
• Dispersive Corrections to the Born Approximation in Elastic Electron-Nucleus Scattering in the Intermediate Energy Regime
• Long Range Electromagnetic Effects involving Neutral Systems and Effective Field Theory
• Dispersion effects in elastic electron scattering from ${}^{208}$Pb
• Double logarithmical corrections to beam asymmetry in polarized electron-proton scattering
• Two-photon contributions to the Rosenbluth cross-section in the Skyrme model