Journal Article

FZJ-2024-02900

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Moments of nucleon unpolarized, polarized, and transversity parton distribution functions from lattice QCD at the physical point

Rodekamp, M. (Corresponding author)FZJ* ; Engelhardt, M. ; Green, J. R. ; Krieg, S.FZJ* ; Liuti, S. ; Meinel, S. ; Negele, J. W. ; Pochinsky, A. ; Syritsyn, S.

2024
American Physical Society Ridge, NY

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Please use a persistent id in citations: doi:10.1103/PhysRevD.109.074508  doi:10.34734/FZJ-2024-02900

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.

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Contributing Institute(s):

1. Jülich Supercomputing Center (JSC)
2. Center for Advanced Simulation and Analytics (CASA)

Research Program(s):

1. 5111 - Domain-Specific Simulation & Data Life Cycle Labs (SDLs) and Research Groups (POF4-511) (POF4-511)
2. NRW-FAIR (NW21-024-A) (NW21-024-A)

Appears in the scientific report 2024

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