Abstract
We use an $s$-channel picture of hard hadronic collisions to investigate the parton distribution function for quarks at small momentum fraction $x$, which corresponds to very high energy scattering. We study the renormalized quark distribution at one loop in this approach. In the high-energy picture, the quark distribution function is expressed in terms of a Wilson-line correlator that represents the cross section for a color dipole to scatter from the proton. We model this Wilson-line correlator in a saturation model. We relate this representation of the quark distribution function to the corresponding representation of the structure function ${F}_{T}(x,{Q}^{2})$ for deeply inelastic scattering.
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