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We show that the gauge-invariant transverse-momentum-dependent (TMD) quark distribution function can be expressed as a sum of all higher-twist collinear parton matrix elements in terms of a transport operator. From such a general…

High Energy Physics - Phenomenology · Physics 2008-11-26 Zuo-tang Liang , Xin-Nian Wang , Jian Zhou

We present a summary of a recent workshop held at Duke University on Partonic Transverse Momentum in Hadrons: Quark Spin-Orbit Correlations and Quark-Gluon Interactions. The transverse momentum dependent parton distribution functions…

We propose the study of unpolarized transverse momentum dependent gluon parton distributions as well as the effect of linearly polarized gluons on transverse momentum and rapidity distributions of $J/\psi$ and $\Upsilon$ production within…

High Energy Physics - Phenomenology · Physics 2016-03-23 Asmita Mukherjee , Sangem Rajesh

We establish robust relations between Transverse Momentum Dependent distributions (TMDs) and collinear distributions. We define weighted integrals of TMDs that we call Transverse Momentum Moments (TMMs) and prove that TMMs are equal to…

High Energy Physics - Phenomenology · Physics 2025-01-27 Oscar del Rio , Alexei Prokudin , Ignazio Scimemi , Alexey Vladimirov

In the present work, we have studied the transverse momentum distributions (TMDs) for the electron in simulated QED model. We have used the overlap representation of light-front wave functions (LFWFs) where the spin-1/2 relativistic…

High Energy Physics - Phenomenology · Physics 2018-03-28 Navdeep Kaur , Harleen Dahiya

By analyzing experimental data on semi-inclusive deep inelastic scattering off longitudinally polarized targets, we extract the transverse momentum dependence of the quark helicity distribution, i.e., the difference between the…

High Energy Physics - Phenomenology · Physics 2024-09-27 Alessandro Bacchetta , Alessia Bongallino , Matteo Cerutti , Marco Radici , Lorenzo Rossi

We derive relations between polarized transverse momentum dependent distribution functions (TMDs) and the usual parton distribution functions (PDFs) in the 3D covariant parton model, which follow from Lorentz invariance and the assumption…

High Energy Physics - Phenomenology · Physics 2015-03-17 A. V. Efremov , P. Schweitzer , O. V. Teryaev , P. Zavada

Leading and subleading twist transverse momentum dependent parton distribution functions (TMDs) are studied in a quark model framework provided by the bag model. A complete set of relations among different TMDs is derived, and the question…

High Energy Physics - Phenomenology · Physics 2010-05-12 H. Avakian , A. V. Efremov , P. Schweitzer , F. Yuan

Transverse-momentum-dependent parton distribution and fragmentation functions describe the partonic structure of the nucleon in a three-dimensional momentum space. They are subjects of flourishing theoretical and experimental activity. They…

High Energy Physics - Phenomenology · Physics 2009-08-24 Alessandro Bacchetta

At hadron colliders, the differential cross section for $W$ production can be factorized and it is sensitive transverse momentum dependent distributions (TMD) for low boson transverse momentum. While, often, the corresponding…

High Energy Physics - Phenomenology · Physics 2021-06-02 Daniel Gutierrez-Reyes , Sergio Leal-Gomez , Ignazio Scimemi

We investigate the helicity dependent generalized parton distributions (GPDs) in momentum as well as transverse position (impact) spaces for up and down quarks in a proton when the momentum transfer in both the transverse and longitudinal…

High Energy Physics - Phenomenology · Physics 2017-09-28 Chandan Mondal

We present a completely gauge-invariant operator definition of transverse-momentum-dependent parton densities (TMD), supplied with longitudinal lightlike gauge links as well as transverse gauge links at lightcone infinity. Within this…

High Energy Physics - Phenomenology · Physics 2011-11-30 I. O. Cherednikov , N. G. Stefanis

Transverse-momentum-dependent parton distribution functions are analyzed in semi-inclusive deep inelastic scattering at low transverse momentum using soft-collinear effective theory. The transverse-momentum-dependent parton distribution…

High Energy Physics - Phenomenology · Physics 2007-11-29 Junegone Chay

We reconsider the evolution equations for transverse momentum dependent distributions recently proposed by us and recast them in a form which allows the comparison with results recently appeared in the literature. We show under which…

High Energy Physics - Phenomenology · Physics 2018-05-09 Federico Alberto Ceccopieri , Luca Trentadue

The effective cross section of double parton scattering in high-energy hadron collisions has been measured in proton--proton collisions, with significant variation among final-state observables, contrary to the idea of a universal value.…

High Energy Physics - Phenomenology · Physics 2026-05-14 Joao Vitor C. Lovato , Edgar Huayra , Emmanuel G. de Oliveira

Three-body decay functions in space-like parton branches are implemented to evaluate transverse-momentum-dependent (TMD) parton distribution functions in the next-to-leading logarithmic (NLL) order of quantum chromodynamics (QCD).…

High Energy Physics - Phenomenology · Physics 2015-04-08 Hidekazu Tanaka

Comparing the respective structures of the correlators defining generalized and transverse momentum dependent parton distributions, one finds possible relations between these two objects. Although it looks like the relations found do not…

High Energy Physics - Phenomenology · Physics 2007-11-01 S. Meissner , A. Metz , M. Schlegel , K. Goeke

We study the transverse momentum spectrum of hadrons in jets. By measuring the transverse momentum with respect to a judiciously chosen axis, we find that this observable is insensitive to (the recoil of) soft radiation. Furthermore, for…

High Energy Physics - Phenomenology · Physics 2019-02-11 Duff Neill , Ignazio Scimemi , Wouter J. Waalewijn

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

We present a calculation of the leading-twist (twist-2) generalized transverse momentum distributions (GTMDs) for unpolarized and longitudinally polarized gluons in the proton, using a recently developed light-front gluon spectator model…

High Energy Physics - Phenomenology · Physics 2025-12-23 Dipankar Chakrabarti , Bheemsehan Gurjar , Asmita Mukherjee , Kauship Saha