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Main Authors: Bhattacharya, Shohini, He, Chuan-Qi, Kang, Zhong-Bo, Padilla, Diego, Penttala, Jani
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2510.02254
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author Bhattacharya, Shohini
He, Chuan-Qi
Kang, Zhong-Bo
Padilla, Diego
Penttala, Jani
author_facet Bhattacharya, Shohini
He, Chuan-Qi
Kang, Zhong-Bo
Padilla, Diego
Penttala, Jani
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2510_02254
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Parton distributions in the shockwave formalism
Bhattacharya, Shohini
He, Chuan-Qi
Kang, Zhong-Bo
Padilla, Diego
Penttala, Jani
High Energy Physics - Phenomenology
Nuclear Theory
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.
title Parton distributions in the shockwave formalism
topic High Energy Physics - Phenomenology
Nuclear Theory
url https://arxiv.org/abs/2510.02254