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Quarks at next-to-eikonal accuracy in the CGC I: Forward quark-nucleus scattering
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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.
Forward citations
Cited by 2 Pith papers
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Analytic Solution for the Helicity Evolution Equations at Small $x$ and Large $N_c\&N_f$
An exact analytic solution of the revised large-Nc and large-Nf small-x helicity evolution equations in QCD, yielding all-order polarized DGLAP anomalous dimensions and small-x growth intercepts.
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Forward parton-nucleus scattering at next-to-eikonal accuracy in the CGC
Full next-to-eikonal quark and gluon propagators in a dynamical gluon background are derived, and forward quark and gluon production cross sections are computed for quark-nucleus and gluon-nucleus scattering.
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