Pseudoscalar Meson Parton Distributions Within Gauge-Invariant Nonlocal Chiral Quark Model
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| Format: | Preprint |
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2025
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| _version_ | 1866909653621800960 |
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| author | Hutauruk, Parada T. P. |
| author_facet | Hutauruk, Parada T. P. |
| contents | In this paper, I investigate the gluon distributions for the kaon and pion, as well as the improvement of the valence-quark distributions, in the framework of the gauge-invariant nonlocal chiral quark model (NL$χ$QM), where the momentum dependence is taken into account. I then compute the gluon distributions for the kaon and pion that are dynamically generated from the splitting functions in the DGLAP QCD evolution. In a comparison with the recent lattice QCD and JAM global analysis results, it is found that the results for the pion gluon distributions at $Q =$ 2 GeV, which is set based on the lattice QCD, have a good agreement with the recent lattice QCD data; this is followed up with the up valence-quark distribution of the pion results at $Q =$ 5.2 GeV in comparison with the reanalysis experimental data. The prediction for the kaon gluon distributions at $Q = 2$ GeV is consistent with the recent lattice QCD calculation. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2505_06726 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Pseudoscalar Meson Parton Distributions Within Gauge-Invariant Nonlocal Chiral Quark Model Hutauruk, Parada T. P. High Energy Physics - Phenomenology Nuclear Theory In this paper, I investigate the gluon distributions for the kaon and pion, as well as the improvement of the valence-quark distributions, in the framework of the gauge-invariant nonlocal chiral quark model (NL$χ$QM), where the momentum dependence is taken into account. I then compute the gluon distributions for the kaon and pion that are dynamically generated from the splitting functions in the DGLAP QCD evolution. In a comparison with the recent lattice QCD and JAM global analysis results, it is found that the results for the pion gluon distributions at $Q =$ 2 GeV, which is set based on the lattice QCD, have a good agreement with the recent lattice QCD data; this is followed up with the up valence-quark distribution of the pion results at $Q =$ 5.2 GeV in comparison with the reanalysis experimental data. The prediction for the kaon gluon distributions at $Q = 2$ GeV is consistent with the recent lattice QCD calculation. |
| title | Pseudoscalar Meson Parton Distributions Within Gauge-Invariant Nonlocal Chiral Quark Model |
| topic | High Energy Physics - Phenomenology Nuclear Theory |
| url | https://arxiv.org/abs/2505.06726 |