Moments of Nucleon Unpolarized, Polarized, and Transversity Parton Distribution Functions from Lattice QCD at the Physical Point
arxiv(2023)
摘要
The second Mellin moments ⟨ x⟩ 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
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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