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Moments of Axial-Vector GPD from Lattice QCD: Quark Helicity, Orbital Angular Momentum, and Spin-Orbit Correlation

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arxiv 2410.03539 v2 pith:OOSTOUO3 submitted 2024-10-04 hep-lat hep-exhep-phnucl-th

Moments of Axial-Vector GPD from Lattice QCD: Quark Helicity, Orbital Angular Momentum, and Spin-Orbit Correlation

classification hep-lat hep-exhep-phnucl-th
keywords momentsmomentumlatticeangularaxial-vectorcontributionshelicityiso-scalar
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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In this work, we present a lattice QCD calculation of the Mellin moments of the twist-2 axial-vector generalized parton distribution (GPD), $\widetilde{H}(x,\xi,t)$, at zero skewness, $\xi$, with multiple values of the momentum transfer, $t$. Our analysis employs the short-distance factorization framework on ratio-scheme renormalized quasi-GPD matrix elements. The calculations are based on an $N_f=2+1+1$ twisted mass fermions ensemble with clover improvement, a lattice spacing of $a = 0.093$ fm, and a pion mass of $m_\pi = 260$ MeV. We consider both the iso-vector and iso-scalar cases, utilizing next-to-leading-order perturbative matching while omitting the disconnected contributions and gluon mixing in the iso-scalar case. For the first time, we determine the Mellin moments of $\widetilde{H}$ up to the fifth order. From these moments, we discuss the quark helicity and orbital angular momentum contributions to the nucleon spin, as well as the spin-orbit correlations of the quarks. Additionally, we perform a Fourier transform over the momentum transfer, which allows us to explore the spin structure in the impact-parameter space.

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Forward citations

Cited by 6 Pith papers

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

  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. Mellin Moments of Pion and Kaon Unpolarized PDFs from Nonlocal Operators in Lattice QCD

    hep-lat 2026-06 unverdicted novelty 6.0

    First lattice QCD results for Mellin moments of pion and kaon unpolarized PDFs from nonlocal operator matrix elements on a 32^3×64 twisted-mass ensemble at m_π=260 MeV, extracted at NNLO and μ=2 GeV.

  3. Finite-$t$ and target mass corrections for the short-distance expansion of quasi(pseudo) GPDs

    hep-ph 2026-06 unverdicted novelty 6.0

    Derives t/P_z² and m_N²/P_z² kinematic corrections to the short-distance expansion of quasi-GPD matrix elements for lattice QCD applications.

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

    hep-lat 2026-07 accept novelty 5.0

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

  5. Pion and Kaon PDFs from Lattice QCD via Large Momentum Effective Theory and Short-Distance Factorization

    hep-lat 2025-12 conditional novelty 5.0

    Lattice QCD calculation of pion and kaon unpolarized quark PDFs on a 32^3×64 ensemble with 260 MeV pion mass, using LaMET and SDF matching at boosts up to 2.07 GeV.

  6. Hadron Structure from lattice QCD in the context of the Electron-Ion Collider

    hep-lat 2026-03 unverdicted novelty 2.0

    Lattice QCD now delivers high-precision results on hadron internal structure that directly support the scientific program of the Electron-Ion Collider.