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arxiv: 1603.06664 · v1 · pith:LN5YRJHDnew · submitted 2016-03-22 · ✦ hep-ph · hep-lat

Nucleon Helicity and Transversity Parton Distributions from Lattice QCD

classification ✦ hep-ph hep-lat
keywords helicitytransversitycasesfirstlatticenucleonpartonpolarized
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We present the first lattice-QCD calculation of the isovector polarized parton distribution functions (both helicity and transversity) using the large-momentum effective field theory (LaMET) approach for direct Bjorken-$x$ dependence. We first review the detailed steps of the procedure in the unpolarized case, then generalize to the helicity and transversity cases. We also derive a new mass-correction formulation for all three cases. We then compare the effects of each finite-momentum correction using lattice data calculated at $M_\pi\approx 310$ MeV. Finally, we discuss the implications of these results for the poorly known antiquark structure and predict the sea-flavor asymmetry in the transversely polarized nucleon.

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