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<p>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<sup>3</sup>LO) in QCD, supplemented by next-to-next-to-leading logarithmic (NNLL) small-<i>x</i> 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).</p>

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The N3LO twist-2 matching of linearly polarized gluon TMDs

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  • 发表日期：

    2026年3月10日

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  • Yu Jiao Zhu

摘要

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 (N3LO) 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).