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Moments of parton distribution functions of any order from lattice QCD

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arxiv 2311.18704 v2 pith:N6HMTJS2 submitted 2023-11-30 hep-lat hep-phnucl-th

Moments of parton distribution functions of any order from lattice QCD

Andrea Shindler This is my paper
classification hep-lat hep-phnucl-th
keywords operatorselementslatticematchingmatrixmomentsorderdistribution
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We describe a procedure to determine moments of parton distribution functions of any order in lattice quantum chromodynamics (QCD). The procedure is based on the gradient flow for fermion and gauge fields. The flowed matrix elements of twist-2 operators renormalize multiplicatively, and the matching with the physical matrix elements can be obtained using continuum symmetries and the irreducible representations of Euclidean 4-dimensional rotations. We calculate the matching coefficients at one-loop in perturbation theory for moments of any order in the flavor nonsinglet case. We also give specific examples of operators that could be used in lattice QCD computations. It turns out that it is possible to choose operators with identical Lorentz indices and still have a multiplicative matching. One can thus use twist-2 operators exclusively with temporal indices, thus substantially improving the signal-to-noise ratio in the computation of the hadronic matrix elements.

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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.

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    hep-lat 2026-05 unverdicted novelty 7.0

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

    hep-lat 2026-06 unverdicted novelty 6.0

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

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    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. 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.

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    hep-lat 2026-06 unverdicted novelty 4.0

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    hep-lat 2026-03 unverdicted novelty 2.0

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