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Systematic Improvement of $x$-dependent Unpolarized Nucleon Generalized Parton Distribution in Lattice-QCD Calculation

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arxiv 2312.10829 v2 pith:WWIG2ZXB submitted 2023-12-17 hep-lat hep-phnucl-th

classification hep-lathep-phnucl-th
keywords approxnucleonsystematicdistributionerrorsgeneralizedgpdslattice
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We present a first study of the effects of renormalization-group resummation (RGR) and leading-renormalon resummation (LRR) on the systematic errors of the unpolarized isovector nucleon generalized parton distribution in the framework of large-momentum effective theory (LaMET). This work is done using lattice gauge ensembles generated by the MILC collaboration, consisting of 2+1+1 flavors of highly improved staggered quarks with a physical pion mass at lattice spacing $a\approx 0.09$ fm and a box width $L\approx 5.76$ fm. We present results for the nucleon $H$ and $E$ GPDs with average boost momentum $P_z\approx 2$ GeV at momentum transfers $Q^2=[0, 0.97]$ GeV$^2$ at skewness $\xi=0$ as well as $Q^2\in 0.23$ GeV$^2$ at $\xi=0.1$, renormalized in the $\overline{\rm MS}$ scheme at scale $\mu=2.0$ GeV, with two- and one-loop matching, respectively. We demonstrate that the simultaneous application of RGR and LRR significantly reduces the systematic errors in renormalized matrix elements and distributions for both the zero and nonzero skewness GPDs, and that it is necessary to include both RGR and LRR at higher orders in the matching and renormalization processes.

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Cited by 6 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. 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. Light Cone Distribution Amplitude for the $\Lambda$ Baryon from Lattice QCD

    hep-lat 2024-11 conditional novelty 7.0 of 10

    The first lattice QCD extraction of the Lambda baryon's light-cone distribution amplitude via LaMET yields a momentum-fraction distribution peaked at small light-quark momenta.

  4. Assessing the impact of the electron ion collider in China on Deeply Virtual Compton Scattering

    hep-ph 2025-12 conditional novelty 5.0 of 10

    Projected EicC DVCS asymmetry data would substantially reduce uncertainties on all leading-order Compton form factors, most strongly in the sea-quark region.

  5. Mechanical properties of the nucleon from the generalized parton distributions

    hep-ph 2025-01 conditional novelty 5.0 of 10

    Using a double-distribution GPD model constrained by elastic-scattering data, the paper fits DQ(0) = -3.37 ± 0.17 from Compton form factors and derives proton pressure, shear, and radii.

  6. 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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