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Unpolarized gluon distribution in the nucleon from lattice quantum chromodynamics

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arxiv 2107.08960 v2 pith:WAG3TGU6 submitted 2021-07-19 hep-lat hep-exhep-phnucl-exnucl-th

Tanjib Khan , Raza Sabbir Sufian , Joseph Karpie , Christopher J. Monahan , Colin Egerer , Bálint Joó , Wayne Morris , Kostas Orginos
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Anatoly Radyushkin David G. Richards Eloy Romero Savvas Zafeiropoulos
This is my paper
classification hep-lathep-exhep-phnucl-exnucl-th
keywords distributiongluonioffe-timelatticeunpolarizedflownucleoncalculation
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

In this study, we present a determination of the unpolarized gluon Ioffe-time distribution in the nucleon from a first principles lattice quantum chromodynamics calculation. We carry out the lattice calculation on a $32^3\times 64$ ensemble with a pion mass of $358$ MeV and lattice spacing of $0.094$ fm. We construct the nucleon interpolating fields using the distillation technique, flow the gauge fields using the gradient flow, and solve the summed generalized eigenvalue problem to determine the glounic matrix elements. Combining these techniques allows us to provide a statistically well-controlled Ioffe-time distribution and unpolarized gluon PDF. We obtain the flow time independent reduced Ioffe-time pseudo-distribution, and calculate the light-cone Ioffe-time distribution and unpolarized gluon distribution function in the $\overline{\rm MS}$ scheme at $\mu = 2$ GeV, neglecting the mixing of the gluon operator with the quark singlet sector. Finally, we compare our results to phenomenological determinations.

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Cited by 5 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 of 10

    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. Pionic gluons from global QCD analysis of experimental and lattice data

    hep-ph 2025-07 conditional novelty 7.0 of 10

    A global fit of pion parton distributions including lattice gluon data reduces uncertainties on the high-x gluon PDF and indicates a gluon enhancement in the pion over the proton.

  3. Mellin Moments of the Unpolarized Gluon PDF in the Proton from Nonlocal Operators in Lattice QCD

    hep-lat 2026-05 unverdicted novelty 6.0 of 10

    Lattice QCD extracts the ratio of the third to first Mellin moment of the gluon PDF at 2 GeV from nonlocal operators on an Nf=2+1+1 ensemble.

  4. Unpolarized gluon PDF of the nucleon from lattice QCD at physical point in the continuum limit

    hep-lat 2025-10 conditional novelty 6.0 of 10

    A lattice QCD extraction of the nucleon gluon PDF using three lattice spacings, hybrid renormalization and NLO matching, extrapolated to the continuum and infinite-momentum limits, agrees with global fits while remain...

  5. Decoding the proton's gluonic density with lattice QCD-informed machine learning

    hep-ph 2025-07 conditional novelty 6.0 of 10

    A variational autoencoder inverse mapper extracts the proton's gluon PDF from lattice QCD pseudo-Ioffe-time distributions, yielding results consistent with global fits.

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