The large‐momentum effective theory (LaMET) framework has been widely used to determine the Bjorken‐$x$ dependence of parton distribution functions (PDFs) in lattice‐QCD hadron-structure calculations. In this talk, I highlighted selected recent lattice-QCD results on parton distributions from MSULat group.
We use clover valence fermions on ensembles generated by MILC Collaboration with lattice spacing $a\approx 0.06$, 0.09, and 0.12~fm, with $M_\pi L \approx 4$, and with pion masses including 135, 220 and 310~MeV and $N_f=2+1+1$ flavors of highly improved staggered dynamical quarks. Results include the continuum-physical isovector nucleon PDF, a first study of the strange and charm PDFs and the pion and kaon valence-quark PDFs. We also reported results on the $Q^2$ and $x$ dependence of nucleon isovector unpolarized and helicity GPDs calculated directly at physical pion mass; we also make a comparison of the GPDs with the traditional moment methods from other lattice calculations.