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| Format: | Preprint |
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2025
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| Online-Zugang: | https://arxiv.org/abs/2510.17758 |
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| _version_ | 1866912756661223424 |
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| author | NieMiera, Alex Good, William Lin, Huey-Wen Yao, Fei |
| author_facet | NieMiera, Alex Good, William Lin, Huey-Wen Yao, Fei |
| contents | We present the first lattice-QCD determination of the nucleon gluon parton distribution function (PDF) within the large-momentum effective theory (LaMET) framework, employing the hybrid scheme with self renormalization, in the continuum limit. High statistics calculations with boost momentum $P_z \approx 2.0$-$2.2$~GeV are performed at lattice spacings of $a \approx \{ 0.15, 0.12, 0.09 \}$~fm, a pion mass of $M_π\approx 310$~MeV, with $N_f=2+1+1$ quark flavors. We apply gradient flow smearing with $\mathcal{T}_\text{W} = 3a^2$, finding that self-renormalization remains stable. The renormalized gluon matrix elements and PDFs show consistent behavior across lattice spacings, with the $a \approx 0.09$~fm results statistically compatible with the continuum limit. Our final LaMET gluon PDF compares reasonably with select global-fit determinations, specifically preferring analyses which have near-zero gluonic density in the $x \gtrsim 0.6$ region. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_17758 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | First Self-Renormalized Gluon PDF of Nucleon from Large-Momentum Effective Theory in the Continuum Limit NieMiera, Alex Good, William Lin, Huey-Wen Yao, Fei High Energy Physics - Lattice We present the first lattice-QCD determination of the nucleon gluon parton distribution function (PDF) within the large-momentum effective theory (LaMET) framework, employing the hybrid scheme with self renormalization, in the continuum limit. High statistics calculations with boost momentum $P_z \approx 2.0$-$2.2$~GeV are performed at lattice spacings of $a \approx \{ 0.15, 0.12, 0.09 \}$~fm, a pion mass of $M_π\approx 310$~MeV, with $N_f=2+1+1$ quark flavors. We apply gradient flow smearing with $\mathcal{T}_\text{W} = 3a^2$, finding that self-renormalization remains stable. The renormalized gluon matrix elements and PDFs show consistent behavior across lattice spacings, with the $a \approx 0.09$~fm results statistically compatible with the continuum limit. Our final LaMET gluon PDF compares reasonably with select global-fit determinations, specifically preferring analyses which have near-zero gluonic density in the $x \gtrsim 0.6$ region. |
| title | First Self-Renormalized Gluon PDF of Nucleon from Large-Momentum Effective Theory in the Continuum Limit |
| topic | High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2510.17758 |