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Exploring the three-dimensional momentum distribution of longitudinally polarized quarks in the proton

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arxiv 2409.18078 v1 pith:HAUP7VCO submitted 2024-09-26 hep-ph

classification hep-ph
keywords datadistributionmomentumhelicitylongitudinallynumberpointspolarization
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

By analyzing experimental data on semi-inclusive deep inelastic scattering off longitudinally polarized targets, we extract the transverse momentum dependence of the quark helicity distribution, i.e., the difference between the three-dimensional motion of quarks with polarization parallel or antiparallel to the longitudinal polarization of the parent hadron. We perform the analysis at next-to-leading (NLL) and next-to-next-to-leading (NNLL) perturbative accuracy. The quality of the fit is very good for both cases, reaching a $\chi^2$ per number of data points equal to $1.11$ and $1.09$, respectively. Although the limited number of data points leads to significant uncertainties, the data are consistent with an interpretation in which the helicity distribution is narrower in transverse momentum than the unpolarized distribution.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Soft background fields at next-to-leading power in transverse momentum dependent SIDIS with jets

    hep-ph 2025-07 conditional novelty 7.0 of 10

    New next-to-leading-power factorization for SIDIS with jets from a background-field method with explicit soft modes, including operator-level definitions of twist-3 TMDs free of rapidity and endpoint divergences.

  2. Symbolic Extraction of Non-Perturbative Transverse-Momentum-Dependent Distributions from Drell-Yan Data

    hep-ph 2026-07 conditional novelty 6.0 of 10

    Symbolic regression on a factorized NN fit to 482 Drell–Yan points yields a 9-constant analytical non-perturbative TMD with χ²/ndf≈1.04 and a retained x–b_T cross term.

  3. New insights from the flavor dependence of quark transverse momentum distributions in the pion

    hep-ph 2025-09 conditional novelty 6.0 of 10

    First flavor-dependent extraction of unpolarized quark TMDs in the pion, finding a wider transverse momentum tail for valence d quarks than for sea quarks, with large uncertainties.

  4. The 3D structure of the Nucleon in momentum space: TMD phenomenology

    hep-ph 2025-01 conditional novelty 2.0 of 10

    A review showing unpolarized quark TMD fits now reach collinear-PDF-like precision, while polarized and gluon TMDs remain less constrained.

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