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Progress in $x$-dependent partonic distributions from lattice QCD

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arxiv 2110.07440 v1 pith:KLKMGXMU submitted 2021-10-14 hep-lat hep-ph

classification hep-lathep-ph
keywords distributionslatticedependentcalculationscorrelationspartonpartonicpdfs
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

We review the latest progress in lattice QCD calculations of the partonic structure of hadrons. This structure is, in particular, described in terms of $x$-dependent distributions, the simplest of which are the standard parton distribution functions (PDFs). The lattice calculations rely on matrix elements probing spatial correlations between partons in a boosted hadron, that can be matched to light-cone correlations defining the relevant distributions. We discuss the recent theoretical and practical refinements of this strategy, as well as new exploratory directions. The latter include generalized parton distributions (GPDs), distributions beyond leading twist, flavor-singlet distributions and transverse-momentum dependent PDFs (TMDs). We also shortly consider the potential future impact of lattice data on phenomenology.

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Cited by 3 Pith papers

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

  1. A Unified Neural-Network Framework for Nucleon Imaging from Numerical Simulations of QCD

    hep-lat 2025-09 conditional novelty 6.0 of 10

    One neural network simultaneously fits LaMET and short-distance-expansion lattice data to reconstruct light-cone PDFs and zero-skewness GPDs of the nucleon.

  2. Three-dimensional imaging of hadrons with hard exclusive reactions: advances in experiment, theory, phenomenology, and lattice QCD

    hep-ph 2025-12 unverdicted novelty 2.0 of 10

    A community white paper reviewing GPD-based 3D imaging of hadrons — experiment, theory, phenomenology, lattice QCD — and the roadmap toward precision tomography at JLab, COMPASS, J-PARC, and future electron-ion colliders.

  3. Hadron structure via Generalized Parton Distributions

    hep-lat 2025-02 unverdicted

    A proceedings review of lattice QCD calculations that extract x-dependent generalized parton distributions via the quasi-distribution approach, including recent asymmetric-frame results.

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