PoS - Proceedings of Science
Volume 430 - The 39th International Symposium on Lattice Field Theory (LATTICE2022) - Hadron Structure
Transverse momentum-dependent parton distributions for longitudinally polarized nucleons from domain wall fermion calculations at the physical pion mass
M. Engelhardt*, J.R. Green, N. Hasan, T. Izubuchi, C. Kallidonis, S. Krieg, S. Meinel, J. Negele, A. Pochinsky, G. Silvi and S. Syritsyn
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Previous Lattice QCD calculations of nucleon transverse
momentum-dependent parton distributions (TMDs) focused
on the case of transversely polarized nucleons, and thus
did not encompass two leading-twist TMDs associated with
longitudinal polarization, namely, the helicity TMD and
the worm-gear TMD corresponding to transversely polarized
quarks in a longitudinally polarized nucleon. Based on a
definition of TMDs via hadronic matrix elements of quark
bilocal operators containing staple-shaped gauge connections,
TMD observables characterizing the aforementioned two TMDs
are evaluated, utilizing a RBC/UKQCD domain wall fermion
ensemble at the physical pion mass.
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