%0 Journal Article
%A Rodekamp, Marcel
%A Engelhardt, Michael
%A Green, Jeremy R.
%A Krieg, Stefan
%A Liuti, Simonetta
%A Meinel, Stefan
%A Negele, John W.
%A Pochinsky, Andrew
%A Syritsyn, Sergey
%T Moments of nucleon unpolarized, polarized, and transversity parton distribution functions from lattice QCD at the physical point
%J Physical review / D
%V 109
%N 7
%@ 2470-0010
%C Ridge, NY
%I American Physical Society
%M FZJ-2024-02900
%P 074508
%D 2024
%X 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.
%F PUB:(DE-HGF)16
%9 Journal Article
%U <Go to ISI:>//WOS:001224338600002
%R 10.1103/PhysRevD.109.074508
%U https://juser.fz-juelich.de/record/1025448