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

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

classification hep-lat hep-exhep-phnucl-th
keywords ensembleslatticemassmomentsnucleonquarkscomputedeffects
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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 4 Pith papers

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  1. Reconstructing the full kinematic dependence of GPDs from pseudo-distributions

    hep-lat 2026-04 unverdicted novelty 8.0

    Lattice QCD pseudo-distributions at m_π=358 MeV are inverted via multidimensional Gaussian process regression to reconstruct the full kinematic dependence of GPDs H^{u-d} and E^{u-d} while directly extracting double d...

  2. Third moments of nucleon unpolarized, polarized, and transversity parton distribution functions from physical-point lattice QCD

    hep-lat 2026-05 unverdicted novelty 7.0

    First lattice QCD calculation at the physical pion mass of the isovector third moments of nucleon unpolarized, polarized, and transversity PDFs via forward matrix elements of local operators.

  3. Generalized parton distributions of valence, sea, and gluon components of the proton

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    Using basis light-front quantization wave functions, the authors calculate GPDs for proton components at low resolution scale and obtain results qualitatively similar to but smaller than the GUMP1.0 global extraction.

  4. Constraining DVCS Compton Form Factors Using Lattice QCD informed Neural Network

    hep-ph 2026-06 unverdicted novelty 5.0

    A neural network framework informed by lattice QCD uses all-order dispersion relations to significantly constrain both real and imaginary parts of Compton Form Factors extracted from DVCS proton data.