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We present the first exploratory lattice quantum chromodynamics (QCD) calculation of the polarized gluon Ioffe-time pseudo-distribution in the nucleon. The Ioffe-time pseudo-distribution provides a frame-independent and gauge-invariant…

We investigate unpolarized and polarized gluon distributions and their applications to the Ioffe-time distributions, which are related to lattice QCD calculations of parton distribution functions. Guided by the counting rules based on the…

High Energy Physics - Phenomenology · Physics 2021-02-11 Raza Sabbir Sufian , Tianbo Liu , Arpon Paul

We present results for the unpolarized parton distribution function of the nucleon computed in lattice QCD at the physical pion mass. This is the first study of its kind employing the method of Ioffe time pseudo-distributions. Beyond the…

High Energy Physics - Lattice · Physics 2020-12-30 Bálint Joó , Joseph Karpie , Kostas Orginos , Anatoly V. Radyushkin , David G. Richards , Savvas Zafeiropoulos

We present results of the x-dependence of the unpolarized gluon PDF for the proton. We use an $N_f=2+1+1$ ensemble of maximally twisted mass fermions with clover improvement and the Iwasaki improved gluon action. The quark masses are tuned…

High Energy Physics - Lattice · Physics 2022-12-23 Joseph Delmar , Constantia Alexandrou , Krzysztof Cichy , Martha Constantinou , Kyriakos Hadjiyiannakou

We present a lattice QCD determination of the Mellin moments of the unpolarized gluon parton distribution function in the proton. The analysis is based on matrix elements of nonlocal gluon operators coupled to momentum-boosted proton…

High Energy Physics - Lattice · Physics 2026-05-29 Joseph Delmar , Krzysztof Cichy , Martha Constantinou , Yong Zhao

In this paper, we present lattice QCD results for the $x$-dependence of the unpolarized gluon PDF for the proton. We use one ensemble of $N_f=2+1+1$ maximally twisted mass fermions with a clover improvement, and the Iwasaki improved gluon…

High Energy Physics - Lattice · Physics 2023-10-03 Joseph Delmar , Constantia Alexandrou , Krzysztof Cichy , Martha Constantinou , Kyriakos Hadjiyiannakou

In this paper, we present a detailed study of the unpolarized nucleon parton distribution function (PDF) employing the approach of parton pseudo-distribution functions. We perform a systematic analysis using three lattice ensembles at two…

High Energy Physics - Lattice · Physics 2020-01-29 Bálint Joó , Joseph Karpie , Kostas Orginos , Anatoly Radyushkin , David Richards , Savvas Zafeiropoulos

We report a state-of-the-art lattice QCD calculation of the nucleon gluon parton distribution function employing large-momentum effective theory. The calculation is carried out on the 2+1 flavour CLQCD ensembles with three lattice spacings…

High Energy Physics - Lattice · Physics 2025-10-31 Chen Chen , Hongxin Dong , Liuming Liu , Peng Sun , Xiaonu Xiong , Yi-Bo Yang , Fei Yao , Jian-Hui Zhang , Chunhua Zeng , Shiyi Zhong

In this work, we present the first results on the gluon parton distribution of the kaon from lattice quantum chromodynamics. We carry out the lattice calculation at pion mass around 310~MeV and two lattice spacings, 0.15 and 0.12~fm, using…

High Energy Physics - Lattice · Physics 2022-12-07 Alejandro Salas-Chavira , Zhouyou Fan , Huey-Wen Lin

The gluon polarization $\Delta G$ in a nucleon can be defined in a gauge invariant way as the integral over the Ioffe-time distribution of polarized gluons. We argue that for sufficiently regular polarized gluon distributions $\Delta G$ is…

High Energy Physics - Phenomenology · Physics 2009-10-30 L. Mankiewicz , G. Piller , A. Saalfeld

The parton distribution functions (PDFs) provide process-independent information about the quarks and gluons inside hadrons. Although the gluon PDF can be obtained from a global fit to experimental data, it is not constrained well in the…

High Energy Physics - Lattice · Physics 2021-06-09 Zhouyou Fan , Rui Zhang , Huey-Wen Lin

We present the first attempt to access the $x$-dependence of the gluon unpolarized parton distribution function (PDF), based on lattice simulations using the large-momentum effective theory (LaMET) approach. The lattice calculation is…

High Energy Physics - Lattice · Physics 2018-12-19 Zhou-You Fan , Yi-Bo Yang , Adam Anthony , Huey-Wen Lin , Keh-Fei Liu

In QCD the gauge-invariant gluon polarization Delta G in a nucleon can be defined either in a non-local way as the integral over the Ioffe-time distribution of polarized gluons, or in light-cone gauge as the forward matrix element of the…

High Energy Physics - Phenomenology · Physics 2011-09-13 A. Saalfeld , G. Piller , L. Mankiewicz

Based on both the constituent quark picture and the instanton model for QCD vacuum, we calculate the unpolarized and polarized gluon distributions in the constituent quark and in the nucleon. Our approach consists of the two main steps. At…

High Energy Physics - Phenomenology · Physics 2016-05-04 Nikolai Kochelev , Hee-Jung Lee , Baiyang Zhang , Pengming Zhang

We calculate the gluon momentum fraction of the nucleon using lattice quantum chromodynamics (QCD), with a nonperturbative renormalization technique based on the gradient flow. The gluon momentum fraction is determined on a single…

The role of gluons in the structure of the nucleon and light nuclei is investigated using lattice quantum chromodynamics (QCD) calculations. The first moment of the unpolarised gluon distribution is studied in nuclei up to atomic number…

High Energy Physics - Lattice · Physics 2017-12-06 Frank Winter , William Detmold , Arjun S. Gambhir , Kostas Orginos , Martin J. Savage , Phiala E. Shanahan , Michael L. Wagman

We outline an approach to calculate the transverse-momentum-dependent distribution of linearly polarized gluons inside an unpolarized hadron on the lattice with the help of large momentum effective theory. To achieve this purpose, we…

High Energy Physics - Phenomenology · Physics 2024-02-02 Shuai Zhao

We formulate the basic points of the pseudo-PDF approach to the lattice calculation of polarized gluon PDFs. We present the results of our calculations of the one-loop corrections for the bilocal $G_{\mu \alpha}(z) \widetilde G_{\lambda…

High Energy Physics - Phenomenology · Physics 2022-03-14 Ian Balitsky , Wayne Morris , Anatoly Radyushkin

We present a first machine learning-based decoding of the gluonic structure of the proton from lattice QCD using a variational autoencoder inverse mapper (VAIM). Harnessing the power of generative AI, we predict the parton distribution…

High Energy Physics - Phenomenology · Physics 2025-07-25 Brandon Kriesten , Alex NieMiera , William Good , T. J. Hobbs , Huey-Wen Lin

We present the first physical-continuum limit $x$-dependent nucleon gluon distribution from lattice QCD using the pseudo-PDF approach, on lattice ensembles with $2+1+1$ flavors of highly improved staggered quarks (HISQ), generated by MILC…

High Energy Physics - Lattice · Physics 2023-08-02 Zhouyou Fan , William Good , Huey-Wen Lin
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