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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2510.17758 |
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Table of 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.