Impact of lattice $s(x)-\bar{s}(x)$ data in the CTEQ-TEA global analysis

We study the impact of the lattice data on the determination of the strangeness asymmetry distribution $s_{-}(x)\equiv s(x)-\bar{s}(x)$ in the general CTEQ-TEA global analysis of parton distribution functions (PDFs) of the proton. Firstly, we find that allowing a non-vanishing $s_{-}(x)$, at the initial $Q_0=1.3$ GeV scale, in a global PDF analysis leads to the quality of the CT18As fit similar to CT18A. Secondly, including the lattice data in the CT18As_Lat fit greatly reduces the $s_{-}$-PDF error band size in the large $x$ region. To further reduce its error would require more precise lattice data, extended to smaller $x$ values.