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We update the phenomenological parameters of the Transverse Momentum Dependent (TMD, or unintegrated) gluon density in a proton proposed in our previous studies. This analysis is based on the analytical expression for starting gluon…

High Energy Physics - Phenomenology · Physics 2024-04-16 A. V. Lipatov , G. I. Lykasov , M. A. Malyshev

A high-energy Electron-Ion Collider (EIC) would offer a most promising tool to study in detail the transverse momentum distributions of gluons inside hadrons. This applies to unpolarized as well as linearly polarized gluons inside…

High Energy Physics - Phenomenology · Physics 2016-04-20 Daniël Boer

We study the gluon Wigner distributions of the proton which are the phase-space distributions containing the most general one-parton information. Using the proton wave functions deduced from a light-cone spectator model that contains the…

High Energy Physics - Phenomenology · Physics 2023-12-14 Chentao Tan , Zhun Lu

Study of the transverse structure of the proton is one of the major physics goals of the upcoming Electron Ion Collider (EIC). The gluon transverse momentum dependent distributions (TMD) form an essential focus of this effort and are…

High Energy Physics - Phenomenology · Physics 2023-04-26 Xin Dong , Yuanjing Ji , Matthew Kelsey , Sooraj Radhakrishnan , Ernst Sichtermann , Yuxiang Zhao

The nucleon spin structure is studied at COMPASS via the measurement of the spin dependent properties of deep inelastic muon-deuteron scattering. Both inclusive and semi-inclusive observables are investigated, with the emphasis put on the…

High Energy Physics - Experiment · Physics 2015-06-25 Yann Bedfer

We explain a gluon transversity, transverse-momentum-dependent parton distribution functions (TMDs), and parton distribution functions (PDFs) for spin-1 hadrons. The gluon transversity exists in hadrons with spin more than or equal to one,…

High Energy Physics - Phenomenology · Physics 2022-01-14 S. Kumano , Qin-Tao Song

We investigate the dependence of the deep inelastic proton structure function $F_L(x, Q^2)$ on different forms of the transverse momentum dependent (TMD, or unintegrated) gluon distribution. We present a comparison of theoretical results…

High Energy Physics - Phenomenology · Physics 2023-01-25 Lipatov A. V. , Lykasov G. I. , Malyshev M. A

Transverse momentum dependent (TMD) parton distributions in a proton are important in high energy physics from both theoretical and phenomenological points of view. Using the latest RHIC and LHC data on the inclusive soft hadron production…

High Energy Physics - Phenomenology · Physics 2018-09-19 N. A. Abdulov , H. Jung , A. V. Lipatov , G. I. Lykasov , M. A. Malyshev

The transverse-momentum-dependent (TMD) factorization theorem for dijet production in deep-inelastic scattering is used here to make predictions of the gluon Sivers function. We revise the previously studied unpolarized case and develop the…

High Energy Physics - Phenomenology · Physics 2026-03-03 Miguel G. Echevarria , Patricia Andrea Gutierrez García , Ignazio Scimemi

We report on the opportunities for spin physics and Transverse-Momentum Dependent distribution (TMD) studies at a future multi-purpose fixed-target experiment using the proton or lead ion LHC beams extracted by a bent crystal. The LHC…

Spin is a welcome complication in the study of partonic structure that has led to new insights, even if theoretically and experimentally not all dust has settled, in particular on quark flavor dependence and gluon spin. At the same time it…

High Energy Physics - Phenomenology · Physics 2015-08-19 P. J. Mulders

Transverse momentum-dependent parton distribution functions (TMDs) provide three-dimensional imaging of the nucleon in the momentum space. With its fundamental importance in understanding the spin structure of the nucleon, the precise…

High Energy Physics - Phenomenology · Physics 2024-03-11 Chunhua Zeng , Tianbo Liu , Peng Sun , Yuxiang Zhao

All the leading-twist parton distribution functions are calculated in a spectator model of the nucleon, using scalar and axial-vector diquarks. Single gluon rescattering is used to generate T-odd distribution functions. Different choices…

High Energy Physics - Phenomenology · Physics 2009-01-14 A. Bacchetta , F. Conti , M. Radici

We study transverse-momentum-dependent (TMD) gluon distributions and factorization theorems for the gluon-initiated semi-inclusive processes at hadron colliders. Gauge-invariant TMD gluon distributions are defined, and their relations to…

High Energy Physics - Phenomenology · Physics 2009-11-11 Xiangdong Ji , Jian-Ping Ma , Feng Yuan

A pedagogical summary of current and past experimental results of spin-dependent nucleon structure prior to the arrival of the Electron-Ion Collider is attempted. After an introduction, results from fixed-target experiments at SLAC,…

High Energy Physics - Experiment · Physics 2022-06-01 Caroline Riedl

We present the perturbative calculation of the leading-twist gluon transverse momentum dependent distribution functions (TMDPDFs) at one-loop level within large-momentum effective theory. By employing the basis of circular polarizations, we…

High Energy Physics - Phenomenology · Physics 2025-12-10 Xiupeng Xie , Zhun Lu

We predict the twist-2 Transverse Momentum Dependent parton distribution functions (TMDs) of the pion, namely the unpolarized quark TMD, $f_{1}(x, k_\perp)$, and the transversely polarized quark TMD, also known as the Boer-Mulders function,…

High Energy Physics - Phenomenology · Physics 2019-09-09 Mohammad Ahmady , Chandan Mondal , Ruben Sandapen

I give a brief overview of our current understanding of the internal partonic 3D structure of nucleons in momentum space. I discuss some recent extractions of transverse-momentum-dependent distributions for quarks, whose analyses in the…

High Energy Physics - Phenomenology · Physics 2025-01-16 Marco Radici

Longitudinal particle production in heavy-ion collisions is influenced both by preferential emission from participating nucleons and by the breakup of spectator matter, yet quantifying these effects experimentally remains challenging. We…

Nuclear Theory · Physics 2026-03-06 Vipul Bairathi , Somadutta Bhatta

We present a first calculation of transverse momentum dependent nucleon observables in dynamical lattice QCD employing non-local operators with staple-shaped, "process-dependent" Wilson lines. The use of staple-shaped Wilson lines allows us…

High Energy Physics - Lattice · Physics 2015-03-19 B. U. Musch , Ph. Hägler , M. Engelhardt , J. W. Negele , A. Schäfer