The N$^3$LO Twist-2 Matching of Linearly Polarized Gluon TMDs

Fuente: arXiv
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Main Author: Zhu, Yu Jiao
Format: Preprint
Published: 2025
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author Zhu, Yu Jiao
author_facet Zhu, Yu Jiao
contents We compute the twist-2 matching of the transverse-momentum-dependent (TMD) linearly polarized gluon parton distribution and fragmentation functions at next-to-next-to-next-to-leading order (N$^3$LO) in QCD, supplemented by next-to-next-to-leading logarithmic (NNLL) small-$x$ resummation for the gluon TMD fragmentation functions. These results provide high-precision fixed-order and resummed inputs to TMD phenomenology, and constitute essential theoretical ingredients for future studies of the spin structure and three-dimensional tomography of hadrons at the Electron-Ion Collider (EIC).
format Preprint
id arxiv_https___arxiv_org_abs_2509_01703
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle The N$^3$LO Twist-2 Matching of Linearly Polarized Gluon TMDs
Zhu, Yu Jiao
High Energy Physics - Phenomenology
Nuclear Theory
We compute the twist-2 matching of the transverse-momentum-dependent (TMD) linearly polarized gluon parton distribution and fragmentation functions at next-to-next-to-next-to-leading order (N$^3$LO) in QCD, supplemented by next-to-next-to-leading logarithmic (NNLL) small-$x$ resummation for the gluon TMD fragmentation functions. These results provide high-precision fixed-order and resummed inputs to TMD phenomenology, and constitute essential theoretical ingredients for future studies of the spin structure and three-dimensional tomography of hadrons at the Electron-Ion Collider (EIC).
title The N$^3$LO Twist-2 Matching of Linearly Polarized Gluon TMDs
topic High Energy Physics - Phenomenology
Nuclear Theory
url https://arxiv.org/abs/2509.01703