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PreprintarXiv licencearXiv

Polarized Semi-Inclusive Deep-Inelastic Scattering at 𝒪(αs3) in QCD

Abstract

Unraveling the partonic origin of the proton spin requires precise determinations of polarized parton distribution functions (PDFs), which depend on comparably precise theoretical predictions for polarized scattering, particularly in view of the high-precision measurements anticipated at the future Electron-Ion Collider. We present the first next-to-next-to-next-to-leading order (N3LO) QCD predictions for longitudinally polarized semi-inclusive deep-inelastic scattering (SIDIS) in a fully differential form, together with next-to-next-to-leading order predictions for the hadron transverse-momentum spectrum. These results are obtained by extending the two-dimensional transverse-momentum subtraction framework to the spin-dependent cross section. Together with the corresponding unpolarized calculation, these results enable consistent N3LO predictions for longitudinal double-spin asymmetries and provide a precision baseline for future analyses of helicity PDFs and transverse-momentum-dependent helicity distributions.

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BibTeX
@misc{dong2026polarized,
  title = {{Polarized Semi-Inclusive Deep-Inelastic Scattering at $\mathcal O(α_s^3)$ in QCD}},
  author = {Liang Dong and Shen Fang and Jun Gao and Hai Tao Li and Ding Yu Shao and Bin Zhou and Yu Jiao Zhu},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.13743},
  eprint = {2609.13743},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.13743},
}
RIS
TY  - UNPB
TI  - Polarized Semi-Inclusive Deep-Inelastic Scattering at 𝒪(α_s^3) in QCD
AU  - Liang Dong
AU  - Shen Fang
AU  - Jun Gao
AU  - Hai Tao Li
AU  - Ding Yu Shao
AU  - Bin Zhou
AU  - Yu Jiao Zhu
PY  - 2026
DA  - 2026/09/12
PB  - arXiv
DO  - 10.48550/arxiv.2609.13743
UR  - https://arxiv.org/abs/2609.13743
AB  - Unraveling the partonic origin of the proton spin requires precise determinations of polarized parton distribution functions (PDFs), which depend on comparably precise theoretical predictions for polarized scattering, particularly in view of the high-precision measurements anticipated at the future Electron-Ion Collider. We present the first next-to-next-to-next-to-leading order (N^3LO) QCD predictions for longitudinally polarized semi-inclusive deep-inelastic scattering (SIDIS) in a fully differential form, together with next-to-next-to-leading order predictions for the hadron transverse-momentum spectrum. These results are obtained by extending the two-dimensional transverse-momentum subtraction framework to the spin-dependent cross section. Together with the corresponding unpolarized calculation, these results enable consistent N^3LO predictions for longitudinal double-spin asymmetries and provide a precision baseline for future analyses of helicity PDFs and transverse-momentum-dependent helicity distributions.
ER  -