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Reconstructing generalised parton distributions from the lattice off-forward Compton amplitude

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arxiv 2405.06256 v2 pith:D3NJWB4M submitted 2024-05-10 hep-lat hep-phnucl-th

A. Hannaford-Gunn , K. U. Can , J. A. Crawford , R. Horsley , P. E. L. Rakow , G. Schierholz , H. Stüben , R. D. Young
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J. M. Zanotti
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classification hep-lathep-phnucl-th
keywords latticeresultstextamplitudeapproxcomptondistributionsfunctions
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We present a determination of the structure functions of the off-forward Compton amplitude $\mathcal{H}_1$ and $\mathcal{E}_1$ from the Feynman-Hellmann method in lattice QCD. At leading twist, these structure functions give access to the generalised parton distributions (GPDs) $H$ and $E$, respectively. This calculation is performed for an unphysical pion mass of $m_{\pi}=412\;\text{MeV}$ and four values of the soft momentum transfer, $t\approx 0, -0.3, -0.6, -1.1\;\text{GeV}^2$, all at a hard momentum scale of $\bar{Q}^2\approx 5\;\text{GeV}^2$. Using these results, we test various methods to determine properties of the real-time scattering amplitudes and GPDs: (1) we fit their Mellin moments, and (2) we use a simple GPD ansatz to reconstruct the entire distribution. Our final results show promising agreement with phenomenology and other lattice results, and highlight specific systematics in need of control.

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Cited by 5 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. 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. 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.

  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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