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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…

In this work, we present a first-principles lattice-QCD calculation of the unpolarized quark PDF for the pion and the kaon. The lattice data rely on matrix elements calculated for boosted mesons coupled to non-local operators containing a…

High Energy Physics - Lattice · Physics 2026-05-20 Joshua Miller , Joseph Torsiello , Isaac Anderson , Krzysztof Cichy , Martha Constantinou , Joseph Delmar , Sarah Lampreich

We present results on the isovector momentum fraction, $\langle x \rangle_{u-d}$, helicity moment, $\langle x \rangle_{\Delta u-\Delta d}$, and the transversity moment, $\langle x \rangle_{\delta u-\delta d}$, of the nucleon obtained using…

High Energy Physics - Lattice · Physics 2021-02-04 Santanu Mondal , Rajan Gupta , Sungwoo Park , Boram Yoon , Tanmoy Bhattacharya , Huey-Wen Lin

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 present the first lattice-QCD calculation of the nucleon isovector unpolarized parton distribution functions (PDFs) at the physical-continuum limit using Large-Momentum Effective Theory (LaMET). The lattice results are calculated using…

High Energy Physics - Lattice · Physics 2020-12-01 Huey-Wen Lin , Jiunn-Wei Chen , Rui Zhang

We demonstrate that gluon transverse-momentum-dependent parton distribution functions (TMDPDFs) can be extracted from lattice calculations of appropriate Euclidean correlations in large-momentum effective theory (LaMET). Based on…

High Energy Physics - Phenomenology · Physics 2023-02-14 Ruilin Zhu , Yao Ji , Jian-Hui Zhang , Shuai Zhao

Nucleon-structure calculations of isovector vector- and axialvector-current form factors, transversity and scalar charge, and quark momentum and helicity fractions are reported from two recent 2+1-flavor dynamical domain-wall fermions…

High Energy Physics - Lattice · Physics 2019-08-14 Shigemi Ohta

Using the light-cone QCD dipole formalism we investigate manifestations of color transparency (CT) and coherence length (CL) effects in electroproduction of longitudinally (L) and transversally (T) polarized vector mesons. Motivated by…

High Energy Physics - Phenomenology · Physics 2008-12-18 B. Z. Kopeliovich , J. Nemchik , Ivan Schmidt

The rapidity anomalous dimension (RAD), or Collins-Soper kernel, defines the scaling properties of transverse momentum dependent distributions and can be extracted from the experimental data. I derive a self-contained nonperturbative…

High Energy Physics - Phenomenology · Physics 2020-11-11 Alexey A. Vladimirov

Previous Lattice QCD calculations of nucleon transverse momentum-dependent parton distributions (TMDs) focused on the case of transversely polarized nucleons, and thus did not encompass two leading-twist TMDs associated with longitudinal…

High Energy Physics - Lattice · Physics 2023-01-18 M. Engelhardt , N. Hasan , T. Izubuchi , C. Kallidonis , S. Krieg , S. Meinel , J. Negele , A. Pochinsky , G. Silvi , S. Syritsyn

We calculate the lowest even isovector moment of the $F_2$ structure function in $2+1$-flavour lattice QCD with varying quark masses corresponding to $m_\pi \approx [410, 360, 300] \; {\rm MeV}$, at a fixed volume of $V = 48^3 \times 96$…

High Energy Physics - Lattice · Physics 2025-05-08 K. U. Can , R. Horsley , P. E. L. Rakow , G. Schierholz , H. Stüben , R. D. Young , J. M. Zanotti

The Transverse Momentum Dependent (TMD) Parton Branching (PB) method incorporates elements of TMD physics into a Monte Carlo (MC) framework to produce high-energy QCD predictions for collider processes. It derives TMDs from the PB evolution…

High Energy Physics - Phenomenology · Physics 2025-11-25 Aleksandra Lelek

We highlight QCDSF/UKQCD Collaboration's recent developments on computing the Compton amplitude directly via an implementation of the second order Feynman-Hellmann theorem. As an application, we compute the nucleon Compton tensor across a…

High Energy Physics - Lattice · Physics 2021-10-05 K. U. Can , A. Hannaford-Gunn , E. Sankey , R. Horsley , Y. Nakamura , H. Perlt , P. E. L. Rakow , G. Schierholz , H. Stuben , R. D. Young , J. M. Zanotti

The quasi-PDF approach provides a path to computing parton distribution functions (PDFs) using lattice QCD. This approach requires matrix elements of a power-divergent operator in a nucleon at high momentum and one generically expects…

Quantum Chromodynamics on a lattice with Wilson fermions and a chirally twisted mass term is considered in the framework of chiral perturbation theory. For two and three numbers of quark flavours, respectively, with non-degenerate quark…

High Energy Physics - Lattice · Physics 2010-12-23 Gernot Münster , Tobias Sudmann

We use the Bessel-inspired behavior of parton densities at small Bjorken $x$ values, obtained in the case of the flat initial conditions for DGLAP evolution equations in the double scaling QCD approximation (DAS), to evaluate the transverse…

High Energy Physics - Phenomenology · Physics 2020-03-18 A. V. Kotikov , A. V. Lipatov , B. G. Shaikhatdenov , P. Zhang

Hadron structure calculations using lattice Quantum Chromodynamics (QCD) have advanced significantly in recent years. Results for charges, form factors, and lower Mellin moments can be obtained to high precision, generalized parton…

High Energy Physics - Lattice · Physics 2026-04-21 Constantia Alexandrou

We present the first exploratory lattice QCD calculation of the pion valence quark distribution extracted from spatially separated current-current correlations in coordinate space. We show that an antisymmetric combination of vector and…

High Energy Physics - Lattice · Physics 2019-04-17 Raza Sabbir Sufian , Joseph Karpie , Colin Egerer , Kostas Orginos , Jian-Wei Qiu , David G. Richards

Momentum and spatial distributions of quarks and gluons inside hadrons are typically encoded in the so-called generalized parton distributions (GPDs). GPDs are multi-dimensional quantities that are very challenging to extract, both…

We describe a procedure to determine moments of parton distribution functions of any order in lattice quantum chromodynamics (QCD). The procedure is based on the gradient flow for fermion and gauge fields. The flowed matrix elements of…

High Energy Physics - Lattice · Physics 2024-10-03 Andrea Shindler
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