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In this work, we investigate the gluon distribution functions for the pionand kaon, in addition to the improved result of the valence-quark ones, in thegauge-invariant nonlocal chiral-quark model (NL$\chi$QM), in which the momentumdependence of the quark interactions is properly taken into account. We thenanalyze the gluon distribution functions, generated dynamically through thesplitting functions in the DGLAP QCD evolution. By comparing with the recentlattice QCD results and JAM global analyses, it is found that the presentnumerical results for the gluon parton distribution functions for the pionexhibit a remarkable agreement, followed by the valence up-quark distributionresults for the pion by reproducing the reanalyzed experimental data. Ourprediction on the gluon distribution functions for the kaon is also consistentwith the recent lattice data for the kaon within the errors.

Updated analyses of gluon distribution functions for the pion and kaon from the gauge-invariant nonlocal chiral quark model