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Moments of nucleon generalized parton distributions from lattice QCD simulations at physical pion mass

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arxiv 1908.10706 v3 pith:R2Z6HNUG submitted 2019-08-28 hep-lat hep-exhep-phnucl-th

classification hep-lathep-exhep-phnucl-th
keywords ensembleslatticemassmomentsnucleonquarkscomputedeffects
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abstract

We present results for the moments of nucleon isovector vector and axial generalised parton distribution functions computed within lattice QCD. Three ensembles of maximally twisted mass clover-improved fermions simulated with a physical value of the pion mass are analyzed. Two of these ensembles are generated using two degenerate light quarks. A third ensemble is used having, in addition to the light quarks, strange and charm quarks in the sea. A careful analysis of the convergence to the ground state is carried out that is shown to be essential for extracting the correct nucleon matrix elements. This allows a controlled determination of the unpolarised, helicity and tensor second Mellin moments. The vector and axial-vector generalised form factors are also computed as a function of the momentum transfer square up to about 1 GeV$^2$. The three ensembles allow us to check for unquenching effects and to assess lattice finite volume effects.

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Cited by 8 Pith papers

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

  1. Toward an advanced phenomenology of $\pi N$ transition distribution amplitudes

    hep-ph 2025-06 conditional novelty 7.0 of 10

    A flexible two-component model of pion-nucleon transition distribution amplitudes is fitted to CLAS data and used to predict cross-sections and three leading-twist spin asymmetries for backward pion electroproduction.

  2. The nucleon unpolarized generalized form factors and Mellin moments up to fourth order

    hep-lat 2026-07 conditional novelty 6.0 of 10

    First lattice-QCD extraction of nucleon unpolarized Mellin moments through fourth order at physical pion mass, with GFF Q^{2} dependence and a reconstructed isovector valence PDF.

  3. GUMP1.0 -- First global extraction of generalized parton distributions from experiment and lattice data with NLO accuracy

    hep-ph 2025-09 conditional novelty 6.0 of 10

    A new global extraction, GUMP1.0, fits generalized parton distributions to 2,646 experimental and lattice data points at NLO accuracy and uses them to image the proton and decompose its spin.

  4. Proton and neutron electromagnetic form factors from lattice QCD in the continuum limit

    hep-lat 2025-07 conditional novelty 6.0 of 10

    Nucleon electromagnetic radii and magnetic moments are extracted from lattice QCD in the continuum limit directly at the physical pion mass, with disconnected contributions included.

  5. Analytic decomposition of two-body electroweak processes with left-hand cuts

    hep-lat 2026-07 accept novelty 5.0 of 10

    An on-shell decomposition of 2+J o2 electroweak amplitudes isolates OPE poles, logs, and triangle singularities, leaving only smooth short-distance functions.

  6. Mechanical properties of the $\Omega^-$ baryon from gravitational form factors

    hep-ph 2025-07 conditional novelty 5.0 of 10

    Using QCD sum rules, the authors extract seven gravitational form factors of the Omega baryon and derive its internal energy, angular momentum, pressure, shear, radii, and D-terms.

  7. Gluon skewed generalized parton distributions of proton from a light-front Hamiltonian approach

    hep-ph 2025-01 conditional novelty 5.0 of 10

    Using light-front wave functions with one dynamical gluon, the authors obtain all leading-twist gluon GPDs of the proton at nonzero skewness and find diffraction-like patterns in longitudinal position space.

  8. 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.

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