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

TL;DR

This paper uses a gauge-invariant nonlocal chiral quark model to analyze gluon and valence-quark distribution functions in pions and kaons, showing good agreement with recent lattice QCD and experimental data.

Contribution

It provides a novel calculation of gluon distribution functions in pions and kaons within the NLχQM, incorporating momentum-dependent quark interactions and QCD evolution.

Findings

Gluon distribution functions for the pion agree with lattice QCD and JAM analyses.

Valence up-quark distribution results match reanalyzed experimental data.

Predicted gluon distributions for the kaon are consistent with recent lattice data.

Abstract

In this work, we investigate the gluon distribution functions for the pion and kaon, in addition to the improved result of the valence-quark ones, in the gauge-invariant nonlocal chiral-quark model (NL$\chi$QM), in which the momentum dependence of the quark interactions is properly taken into account. We then analyze the gluon distribution functions, generated dynamically through the splitting functions in the DGLAP QCD evolution. By comparing with the recent lattice QCD results and JAM global analyses, it is found that the present numerical results for the gluon parton distribution functions for the pion exhibit a remarkable agreement, followed by the valence up-quark distribution results for the pion by reproducing the reanalyzed experimental data. Our prediction on the gluon distribution functions for the kaon is also consistent with the recent lattice data for the kaon within the errors.