Proton Isovector Helicity Distribution on the Lattice at Physical Pion Mass
Huey-Wen Lin🇺🇸 · Jiunn-Wei Chen🇹🇼 · Xiangdong Ji🇨🇳 · Luchang Jin🇺🇸 · Ruizi Li🇺🇸 · Yu-Sheng Liu🇨🇳 · Yi-Bo Yang🇺🇸 · Jian-Hui Zhang🇩🇪 · Yong Zhao🇺🇸
We present a state-of-the-art calculation of the isovector quark helicity Bjorken- distribution in the proton using lattice-QCD ensembles at the physical pion mass. We compute quasi-distributions at proton momenta ~GeV on the lattice, and match them systematically to the physical parton distribution using large-momentum effective theory (LaMET). 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, .