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arXiv · 2509.01703

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

Yu Jiao Zhu
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Abstract

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).

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Yu Jiao Zhu. 2025-09-01. The N$^3$LO Twist-2 Matching of Linearly Polarized Gluon TMDs. https://arxiv.org/abs/2509.01703

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