Nucleon Quark and Gluon Parton Distributions from Lattice QCD in the Continuum Limit

We present the $x$-dependent nucleon quark and gluon parton distributions from lattice QCD on ensembles of $2+1+1$ flavors of highly improved staggered quarks (HISQ), generated by MILC Collaboration. We use three lattice spacings $a\approx 0.9, 0.12$ and 0.15~fm and multiple pion masses. We extrapolate our results to physical pion mass and the continuum limit, and compare our results with global fits.