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Proton Isovector Helicity Distribution on the Lattice at Physical Pion Mass
Huey-Wen Lin1,2, Jiunn-Wei Chen3,4, Xiangdong Ji5,6
1Department of Physics and Astronomy, Michigan State University, East Lansing, Michigan 48824, USA.
Abstract:
We present a state-of-the-art calculation of the isovector quark-helicity Bjorken-x distribution in the proton using lattice-QCD ensembles at the physical pion mass. We compute quasidistributions at proton momenta P_{z}∈{2.2,2.6,3.0} GeV on the lattice and match them systematically to the physical parton distribution using the large-momentum effective theory. We reach an unprecedented precision through high statistics in simulations, large-momentum proton matrix elements, and control of excited-state contamination. The resulting distribution with combined statistical and systematic errors is in agreement with the latest phenomenological analysis of the spin-dependent experimental data, in particular, Δu[over ¯](x)>Δd[over ¯](x).
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