Nucleon Parton Distribution Functions from Boosted Correlations in the Coulomb gauge

Fuente: arXiv
Guardado en:
Detalles Bibliográficos
Autores principales: Gao, Xiang, He, Jinchen, Lin, Joshua, Mukherjee, Swagato, Petreczky, Peter, Zhang, Rui, Zhao, Yong
Formato: Preprint
Publicado: 2026
Materias:
Acceso en línea:
Etiquetas: Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
_version_ 1866911442238701568
author Gao, Xiang
He, Jinchen
Lin, Joshua
Mukherjee, Swagato
Petreczky, Peter
Zhang, Rui
Zhao, Yong
author_facet Gao, Xiang
He, Jinchen
Lin, Joshua
Mukherjee, Swagato
Petreczky, Peter
Zhang, Rui
Zhao, Yong
contents Recently, a novel approach has been proposed to compute parton distributions through the use of boosted correlators fixed in the Coulomb gauge from lattice QCD, within the framework of Large-Momentum Effective Theory (LaMET). This approach circumvents the need for Wilson lines, potentially enhancing the efficiency and accuracy of lattice calculations. In this work, we present the first exploratory implementation of the Coulomb gauge method for calculating nucleon unpolarized, helicity, and transversity parton distribution functions (PDFs). The calculations are performed on a Highly-Improved-Staggered-Quark ensemble with lattice spacing $a = 0.06$ fm, volume $L_s^3 \times L_t=48^3\times 64$, and valence pion mass $m_π=300$ MeV, employing boosted nucleon states with momenta up to 3.04 GeV. Our lattice predictions for the valence-quark PDFs -- extracted from the real part of the correlators -- show good convergence with increasing nucleon momentum and are compatible with the most recent global analyses for all spin structures. On the other hand, the full-quark-channel PDFs obtained from the imaginary part of the correlators exhibit discrepancies between the two large nucleon momenta considered, although the results at the higher momentum are consistent with phenomenology. The discrepancies are likely driven by stronger excited-state contamination in the imaginary matrix elements, which is consistent with the observation in the literature. Overall, this work demonstrates the efficacy of the Coulomb gauge approach for nucleon PDFs and serves as a benchmark for its broader applications.
format Preprint
id arxiv_https___arxiv_org_abs_2602_11283
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Nucleon Parton Distribution Functions from Boosted Correlations in the Coulomb gauge
Gao, Xiang
He, Jinchen
Lin, Joshua
Mukherjee, Swagato
Petreczky, Peter
Zhang, Rui
Zhao, Yong
High Energy Physics - Lattice
High Energy Physics - Experiment
High Energy Physics - Phenomenology
Nuclear Experiment
Nuclear Theory
Recently, a novel approach has been proposed to compute parton distributions through the use of boosted correlators fixed in the Coulomb gauge from lattice QCD, within the framework of Large-Momentum Effective Theory (LaMET). This approach circumvents the need for Wilson lines, potentially enhancing the efficiency and accuracy of lattice calculations. In this work, we present the first exploratory implementation of the Coulomb gauge method for calculating nucleon unpolarized, helicity, and transversity parton distribution functions (PDFs). The calculations are performed on a Highly-Improved-Staggered-Quark ensemble with lattice spacing $a = 0.06$ fm, volume $L_s^3 \times L_t=48^3\times 64$, and valence pion mass $m_π=300$ MeV, employing boosted nucleon states with momenta up to 3.04 GeV. Our lattice predictions for the valence-quark PDFs -- extracted from the real part of the correlators -- show good convergence with increasing nucleon momentum and are compatible with the most recent global analyses for all spin structures. On the other hand, the full-quark-channel PDFs obtained from the imaginary part of the correlators exhibit discrepancies between the two large nucleon momenta considered, although the results at the higher momentum are consistent with phenomenology. The discrepancies are likely driven by stronger excited-state contamination in the imaginary matrix elements, which is consistent with the observation in the literature. Overall, this work demonstrates the efficacy of the Coulomb gauge approach for nucleon PDFs and serves as a benchmark for its broader applications.
title Nucleon Parton Distribution Functions from Boosted Correlations in the Coulomb gauge
topic High Energy Physics - Lattice
High Energy Physics - Experiment
High Energy Physics - Phenomenology
Nuclear Experiment
Nuclear Theory
url https://arxiv.org/abs/2602.11283