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@ARTICLE{Rodekamp:1025448,
      author       = {Rodekamp, Marcel and Engelhardt, Michael and Green, Jeremy
                      R. and Krieg, Stefan and Liuti, Simonetta and Meinel, Stefan
                      and Negele, John W. and Pochinsky, Andrew and Syritsyn,
                      Sergey},
      title        = {{M}oments of nucleon unpolarized, polarized, and
                      transversity parton distribution functions from lattice
                      {QCD} at the physical point},
      journal      = {Physical review / D},
      volume       = {109},
      number       = {7},
      issn         = {2470-0010},
      address      = {Ridge, NY},
      publisher    = {American Physical Society},
      reportid     = {FZJ-2024-02900},
      pages        = {074508},
      year         = {2024},
      abstract     = {The second Mellin moments ⟨x⟩ of the nucleon’s
                      unpolarized, polarized, and transversity parton distribution
                      functions 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 flavor
                      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
                      $\overline{MS}$ at scale 2 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.},
      cin          = {JSC / CASA},
      ddc          = {530},
      cid          = {I:(DE-Juel1)JSC-20090406 / I:(DE-Juel1)CASA-20230315},
      pnm          = {5111 - Domain-Specific Simulation $\&$ Data Life Cycle Labs
                      (SDLs) and Research Groups (POF4-511) / NRW-FAIR
                      (NW21-024-A)},
      pid          = {G:(DE-HGF)POF4-5111 / G:(NRW)NW21-024-A},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:001224338600002},
      doi          = {10.1103/PhysRevD.109.074508},
      url          = {https://juser.fz-juelich.de/record/1025448},
}