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Pion generalized parton distribution from lattice QCD

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arxiv 1904.12376 v3 pith:4CHWKTTJ submitted 2019-04-28 hep-lat hep-phnucl-th

Jiunn-Wei Chen , Huey-Wen Lin , Jian-Hui Zhang This is my paper · ORCID
classification hep-lathep-phnucl-th
keywords approxdistributionlatticepartonpionassumptionscalculationgeneralized
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

We present the first lattice calculation of the valence-quark generalized parton distribution (GPD) of the pion using the large-momentum effective theory (LaMET) approach. We focus on the zero-skewness limit, where the GPD has a probability-density interpretation in the longitudinal Bjorken $x$ and the transverse impact-parameter distributions. Our calculation is done using clover valence fermions on an ensemble of gauge configurations with $2+1+1$ flavors (degenerate up/down, strange and charm) of highly improved staggered quarks (HISQ) with lattice spacing $a \approx 0.12$ fm, box size $L \approx 3$ fm and pion mass $m_\pi \approx 310$ MeV. The parton distribution function and the form factor are reproduced as special limits of the GPD as expected. Due to the large errors, this exploratory study does not show a clear preference among different model assumptions about the kinematic dependence of the GPD. To discriminate between these assumptions, future studies using higher-statistics data will be crucial.

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Cited by 5 Pith papers

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

  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. Gluon Unpolarized, Polarized, and Transversity GPDs from Lattice QCD: Lorentz-Covariant Parametrization (Part I)

    hep-lat 2024-12 conditional novelty 7.0 of 10

    A Lorentz-covariant tensor basis and projection set is constructed that isolates all eight leading-twist gluon GPDs from lattice QCD matrix elements for spin-0 and spin-1/2 hadrons.

  3. Feasibility Study of Pion and Kaon Structure via the Sullivan Process at EicC

    hep-ex 2025-12 conditional novelty 5.0 of 10

    EicC could measure pion and kaon structure functions via the Sullivan process with statistical uncertainties below 5% (pion) and 8% (kaon) in most kinematic bins, according to Monte Carlo projections.

  4. 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.

  5. 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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