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Moments of Nucleon Unpolarized, Polarized, and Transversity Parton Distribution Functions from Lattice QCD at the Physical Point

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arxiv 2401.05360 v3 pith:KJYN5H2F submitted 2023-12-12 hep-lat

Moments of Nucleon Unpolarized, Polarized, and Transversity Parton Distribution Functions from Lattice QCD at the Physical Point

Marcel Rodekamp , Michael Engelhardt , Jeremy R. Green , Stefan Krieg , Simonetta Liuti , Stefan Meinel , John W. Negele , Andrew Pochinsky
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Sergey Syritsyn
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classification hep-lat
keywords latticemomentspolarizeddistributionfunctionsmathrmnucleonoperators
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The second Mellin moments $\langle x\rangle$ of the nucleon's unpolarized, polarized, and transversity parton distribution functions (PDFs) are computed. Two lattice QCD ensembles at the physical pion mass are used: these were generated using a tree-level Symanzik-improved gauge action and 2+1 flavour tree-level improved Wilson Clover fermions coupling via 2-level HEX-smearing. The moments are extracted from forward matrix elements of local leading twist operators. We determine renomalization factors in RI-(S)MOM and match to $\overline{\mathrm{MS}}$ at scale $2\,\mathrm{GeV}$. Our findings show that operators that exhibit vanishing kinematics at zero momentum can have significantly reduced excited-state contamination. The resulting polarized moment is used to quantify the longitudinal contribution to the quark spin-orbit correlation. All our results agree within two sigma with previous lattice results.

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Cited by 2 Pith papers

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  1. Third moments of nucleon unpolarized, polarized, and transversity parton distribution functions from physical-point lattice QCD

    hep-lat 2026-05 unverdicted novelty 7.0

    First lattice QCD calculation at the physical pion mass of the isovector third moments of nucleon unpolarized, polarized, and transversity PDFs via forward matrix elements of local operators.

  2. Multipole structure of the nucleon tensor form factors

    hep-ph 2026-05 unverdicted novelty 4.0

    In the chiral quark-soliton model with 1/N_c corrections, the isoscalar tensor charge is 0.81, the isovector anomalous tensor magnetic moment is 1.97, and the isoscalar tensor quadrupole moment is 5.98, completing the...