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We present the key results from the first study of the $x$-dependent nucleongluon distribution from lattice QCD extrapolated to the physical-continuumlimit. We use ensembles with $2+1+1$ flavors of highly improved staggeredquarks (HISQ) generated by the MILC Collaboration with clover fermions for thevalence action on three different lattice spacings and three different pionmasses. We took up to $O(10^6)$ measurements of two-point correlators,obtaining good signal at boost momenta up to 3~GeV. We extrapolated the reducedpseudo-ITD matrix elements to the physical-continuum limit before extracting$xg(x)/\langle x \rangle_g$. Then using the gluon momentum fraction $\langle x\rangle_g$ calculated on the same configurations, we determine the unpolarizednucleon gluon PDF $xg(x)$ and compare results with other lattice and selectedglobal fits.

Physical-Continuum Limit of the Nucleon Gluon Parton Distribution from Lattice QCD