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arxiv: 2510.02254 · v2 · pith:WCABLHT4new · submitted 2025-10-02 · ✦ hep-ph · nucl-th

Parton distributions in the shockwave formalism

classification ✦ hep-ph nucl-th
keywords distributionspartonapproximationshockwavecalculatecolor-glasscondensategeneralized
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In this work, we calculate a broad class of parton distributions - including parton distribution functions (PDFs), transverse-momentum-dependent distributions (TMDs), generalized parton distributions (GPDs), generalized transverse-momentum-dependent distributions (GTMDs), and diffractive parton distributions - directly from their operator-level definition in the shockwave approximation for the target nucleon. This approximation is valid in the high-energy limit of scattering, corresponding to the small-$x$ regime. The shockwave framework allows us to employ the eikonal approximation and express the parton distributions in terms of Wilson-line correlators, naturally formulated within the color-glass condensate effective field theory. We present a comprehensive set of Feynman rules for evaluating parton distributions in this limit, and demonstrate how they can be systematically applied to calculate all phenomenologically relevant leading-twist parton distributions at leading order. This work establishes a unified starting point for future studies that aim to bridge the color-glass condensate approach with the partonic description of the nucleon.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Matching collinear factorization with color-glass condensate for inclusive and exclusive deep inelastic scattering

    hep-ph 2026-05 accept novelty 7.0

    Collinear factorization amplitudes exactly reproduce the large-Q² expansion of CGC amplitudes for inclusive DIS, DVCS, and DVMP at the amplitude level.

  2. Unpolarized GPDs at small $x$ and non-zero skewness

    hep-ph 2025-12 unverdicted novelty 7.0

    Unpolarized GPDs and GTMDs at small x with non-zero skewness are expressed via the dipole amplitude N and odderon O with modified rapidity Y = ln min{1/|x|, 1/|ξ|}.

  3. On the Two $R$-Factors in the Small-$x$ Shockwave Formalism

    hep-ph 2026-04 unverdicted novelty 5.0

    Replacing the rapidity argument of the dipole amplitude with ln min{1/|x|, 1/|ξ|} and refining initial conditions for non-linear evolution can eliminate two R-factors in small-x shockwave calculations.