TY  - JOUR
AU  - Rodekamp, Marcel
AU  - Engelhardt, Michael
AU  - Green, Jeremy R.
AU  - Krieg, Stefan
AU  - Liuti, Simonetta
AU  - Meinel, Stefan
AU  - Negele, John W.
AU  - Pochinsky, Andrew
AU  - Syritsyn, Sergey
TI  - Moments of nucleon unpolarized, polarized, and transversity parton distribution functions from lattice QCD at the physical point
JO  - Physical review / D
VL  - 109
IS  - 7
SN  - 2470-0010
CY  - Ridge, NY
PB  - American Physical Society
M1  - FZJ-2024-02900
SP  - 074508
PY  - 2024
AB  - 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.
LB  - PUB:(DE-HGF)16
UR  - <Go to ISI:>//WOS:001224338600002
DO  - DOI:10.1103/PhysRevD.109.074508
UR  - https://juser.fz-juelich.de/record/1025448
ER  -