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Connecting Euclidean to light-cone correlations: From flavor nonsinglet in forward kinematics to flavor singlet in non-forward kinematics

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arxiv 2212.14415 v3 pith:XRT7DLHZ submitted 2022-12-29 hep-ph hep-latnucl-th

Fei Yao , Yao Ji , Jian-Hui Zhang This is my paper · ORCID
classification hep-phhep-latnucl-th
keywords correlationskinematicsdistributioneuclideanflavorgpdsconnectingcoordinate
verification ladder T0 review T1 audit T2 compute T3 formal
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We present a unified framework for the perturbative factorization connecting Euclidean correlations to light-cone correlations. Starting from nonlocal quark and gluon bilinear correlators, we derive the relevant hard-matching kernel up to the next-to-leading-order, both for the flavor singlet and non-singlet combinations, in non-forward and forward kinematics, and in coordinate and momentum space. The results for the generalized distribution functions (GPDs), parton distribution functions (PDFs), and distribution amplitudes (DAs) are obtained by choosing appropriate kinematics. The renormalization and matching are done in a state-of-the-art scheme. We also clarify some issues raised on the perturbative matching of GPDs in the literature. Our results provide a complete manual for extracting all leading-twist GPDs, PDFs as well as DAs from lattice simulations of Euclidean correlations in a state-of-the-art strategy, either in coordinate or in momentum space factorization approach.

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Forward citations

Cited by 6 Pith papers

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  1. Resummation for Lattice QCD Calculation of Generalized Parton Distributions at Nonzero Skewness

    hep-ph 2025-01 conditional novelty 7.0 of 10

    A threshold factorization and resummation scheme for quasi-GPD matching in LaMET is derived and shown to be self-consistent on a GPD model.

  2. Unpolarized gluon PDF of the nucleon from lattice QCD at physical point in the continuum limit

    hep-lat 2025-10 conditional novelty 6.0 of 10

    A lattice QCD extraction of the nucleon gluon PDF using three lattice spacings, hybrid renormalization and NLO matching, extrapolated to the continuum and infinite-momentum limits, agrees with global fits while remain...

  3. Generalized parton distributions from lattice QCD

    hep-lat 2026-07 unverdicted novelty 2.0 of 10

    A review of lattice QCD extractions of GPDs via quasi- and pseudo-distributions, surveying results and advocating combined LaMET+SDF analyses and experiment-lattice synergies.

  4. Parton distribution functions from lattice QCD

    hep-lat 2026-07 unverdicted

    A review of lattice-QCD approaches to parton distribution functions concludes that the field is moving from feasibility studies to quantitatively controlled calculations.

  5. Mapping Parton Distributions of Hadrons with Lattice QCD

    hep-lat 2025-06 accept

    A review of lattice QCD methods and results for x-dependent parton distribution functions and generalized parton distributions of hadrons.

  6. 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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