Quarks at next-to-eikonal accuracy in the CGC I: Forward quark-nucleus scattering

Abstract

We derive Next-to-Eikonal (NEik) corrections to the background quark propagator, which stem from (i) considering a finite longitudinal width target instead of an infinitely thin shockwave and (ii) including the interaction of the quark with the transverse components of the background field. These two different corrections to the eikonal approximation combine together and provides a gauge covariant expression for the quark propagator at NEik accuracy. We then apply our results to quark (or antiquark) scattering on a nucleus at NEik accuracy, considering both unpolarized cross section and helicity asymmetry.

arXiv comment47 pages, 2 figures. A new appendix and extra discussions are added, some typos are corrected, new references are added, acknowledgments are modified. Results and conclusions are unchanged

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• Small $x$ Physics Beyond Eikonal Approximation: an Effective Hamiltonian Approach
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• Multiparticle production in proton-nucleus collisions beyond eikonal accuracy
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• Forward Inclusive Jet Productions in pA Collisions
• Finite width effects on the azimuthal asymmetry in proton-nucleus collisions in the Color Glass Condensate
• Global analysis of polarized DIS & SIDIS data with improved small-$x$ helicity evolution
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