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Generalised parton distributions from the off-forward Compton amplitude in lattice QCD

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arxiv 2110.11532 v2 pith:CDEQDRUI submitted 2021-10-22 hep-lat

Alec Hannaford-Gunn , Kadir Utku Can , Roger Horsley , Yoshifumi Nakamura , Holger Perlt , Paul E. L. Rakow , Hinnerk Stüben , Gerrit Schierholz
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Ross D. Young James M. Zanotti
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classification hep-lat
keywords gpdslatticeamplitudemomentsofcaoff-forwardcomptondistributions
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abstract

We determine the properties of generalised parton distributions (GPDs) from a lattice QCD calculation of the off-forward Compton amplitude (OFCA). By extending the Feynman-Hellmann relation to second-order matrix elements at off-forward kinematics, this amplitude can be calculated from lattice propagators computed in the presence of a background field. Using an operator product expansion, we show that the deeply-virtual part of the OFCA can be parameterised in terms of the low-order Mellin moments of the GPDs. We apply this formalism to a numerical investigation for zero-skewness kinematics at two values of the soft momentum transfer, $t = -1.1, -2.2 \;\text{GeV}^2$, and a pion mass of $m_{\pi}\approx 470\;\text{MeV}$. The form factors of the lowest two moments of the nucleon GPDs are determined, including the first lattice QCD determination of the $n=4$ moments. Hence we demonstrate the viability of this method to calculate the OFCA from first principles, and thereby provide novel constraint on the $x$- and $t$-dependence of GPDs.

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Cited by 4 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. The role of the chiral anomaly in polarized deeply inelastic scattering III: Wess-Zumino-Witten contributions and chiral Ward identities for finite quark mass

    hep-ph 2025-01 conditional novelty 6.0 of 10

    A worldline computation shows the QED anomaly-pole cancellation by the PVV triangle does not extend to QCD, and the eta-prime mechanism yields only a few percent finite-mass correction to the Shore-Veneziano relation ...

  3. Towards nucleon structure function moments and parton momentum fractions from lattice QCD

    hep-lat 2025-05 conditional novelty 5.0 of 10

    Using the Feynman-Hellmann approach in lattice QCD, the authors estimate the nucleon's isovector parton momentum fraction <x>_{u-d}=0.141(8) at mu^2=4 GeV^2 and the physical F2 moment 0.177(22) at Q^2 ~ 5 GeV^2, consi...

  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.

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