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Related papers: New definition of TMD parton densities

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Recent data from semi-inclusive deep inelastic scattering collected by the HERMES collaboration allow for the first time to discuss how the transverse-momentum dependence of unpolarized distribution and fragmentation functions is affected…

High Energy Physics - Phenomenology · Physics 2015-06-17 Andrea Signori , Alessandro Bacchetta , Marco Radici

We introduce transverse momentum dependent parton distribution functions (TMDs) for gluons with definite rank. The rank refers to the azimuthal dependence corresponding to the tensorial structure in transverse momenta multiplying universal…

High Energy Physics - Phenomenology · Physics 2013-06-28 M. G. A. Buffing , A. Mukherjee , P. J. Mulders

A new quantum mechanical notion -- Conditional Density Matrix -- is discussed and is applied to describe some physical processes. This notion is a natural generalization of von Neumann density matrix for such processes as divisions of…

Quantum Physics · Physics 2007-05-23 V. V. Belokurov , O. A. Khrustalev , V. A. Sadovnichy , O. D. Timofeevskaya

This paper introduces a new object called the momentum tensor. Together with the velocity tensor it forms a basis for establishing the tensorial picture of classical and relativistic mechanics. Some properties of the momentum tensor are…

General Physics · Physics 2011-02-07 Tomasz Lanczewski

By using the valon model, we calculate the Transverse Momentum Distribution functions, TMDs, inside the Nucleon. TMDs indicate the probability to find partons with spin aligned (anti- aligned) to the transversely polarized nucleon. The…

High Energy Physics - Phenomenology · Physics 2015-06-18 Z. Alizadeh Yazdi , F. Taghavi-Shahri , F. Arash , M. E. Zomorrodian

We study the parametrization of the energy-momentum tensor for the case of a proton in momentum space in terms of gravitational transverse momentum-dependent distributions (TMDs). These gravitational TMDs are investigated with the inclusion…

High Energy Physics - Phenomenology · Physics 2026-04-17 Navpreet Kaur , Shubham Sharma , Abi Jebarson A , Harleen Dahiya

We derive the transverse momentum dependent (TMD) factorization for heavy quark pair production in deep inelastic scattering, where the total transverse momentum is much smaller than the invariant mass of the pair. The factorization is…

High Energy Physics - Phenomenology · Physics 2015-06-17 Ruilin Zhu , Peng Sun , Feng Yuan

I discuss the factorization-compatible definitions of transverse-momentum-dependent (TMD) pion wave functions which are fundamental theory inputs entering QCD factorization formulae for many hard exclusive processes. I will first…

High Energy Physics - Phenomenology · Physics 2016-04-20 Yu-Ming Wang

We show transverse-momentum-dependent parton distribution functions (TMDs) for spin-1 hadrons including twist-3 and 4 functions by taking the decomposition of a quark correlation function in the Lorentz-invariant way with the conditions of…

High Energy Physics - Phenomenology · Physics 2021-08-04 S. Kumano , Qin-Tao Song

We have presented the leading twist quark transverse momentum-dependent parton distribution functions (TMDs) for the spin-1 heavy vector mesons $J/\psi$-meson and $\Upsilon$-meson using the overlap of the light-front wave functions. We have…

High Energy Physics - Phenomenology · Physics 2024-05-02 Satyajit Puhan , Harleen Dahiya

The recent formulation of the factorization theorem for transverse momentum spectra in terms of well-defined transverse momentum dependent distributions (TMDs), allows for a better understanding of the role of the perturbative and…

High Energy Physics - Phenomenology · Physics 2015-10-13 Umberto D'Alesio , Miguel G. Echevarria , Stefano Melis , Ignazio Scimemi

A shape of invariant differential cross section for hadron production as function of transverse momentum is analysed. The systematic analysis of the available data demonstrates a need for a modification of the parameterization traditionally…

High Energy Physics - Phenomenology · Physics 2010-08-04 A. A. Rostovtsev , A. A. Bylinkin

In this short note, we discuss constraints on the transverse momentum dependent factorization formulae coming from the causality properties for the hadronic tensor.

High Energy Physics - Phenomenology · Physics 2013-07-09 A. V. Efremov , A. A. Vladimirov

We present the distribution of unpolarized quarks in a transversely polarized proton in three-dimensional momentum space. Our results are based on consistent extractions of the unpolarized and Sivers transverse momentum dependent parton…

High Energy Physics - Phenomenology · Physics 2022-03-04 Alessandro Bacchetta , Filippo Delcarro , Cristian Pisano , Marco Radici

We present the first simultaneous global QCD analysis of unpolarized transverse momentum dependent (TMD) and collinear parton distribution functions (PDFs) in the proton. Our study incorporates data from deep-inelastic scattering,…

High Energy Physics - Phenomenology · Physics 2025-10-16 P. C. Barry , A. Prokudin , T. Anderson , C. Cocuzza , L. Gamberg , W. Melnitchouk , E. Moffat , D. Pitonyak , J. -W. Qiu , N. Sato , A. Vladimirov , R. M. Whitehill

Recently, the definitions of the Kimber-Martin-Ryskin-Watt (KMRW) unintegrated parton densities (UPDFs) have been discussed by several groups. In the first part of this manuscript, we remind the issues encountered with these definitions and…

High Energy Physics - Phenomenology · Physics 2024-07-30 Benjamin Guiot

Analytical expressions for the Transverse Momentum Dependent (TMD, or unintegrated) gluon and sea quark densities in nuclei are derived at leading order of QCD running coupling. The calculations are performed in the framework of the…

High Energy Physics - Phenomenology · Physics 2023-12-04 A. V. Lipatov , M. A. Malyshev , A. V. Kotikov , X. Chen

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

We present a short overview on the studies of transverse momentum dependent parton distribution functions of the nucleon. The aim of such studies is to provide a three dimensional imagining of the nucleon and a comprehensive description of…

High Energy Physics - Phenomenology · Physics 2015-06-25 Kai-bao Chen , Shu-yi Wei , Zuo-tang Liang

We compare recent, seemingly different, approaches to TMD-factorization (due to Echevarria, Idilbi, and Scimemi and to Collins), and show that they are the same, apart from an apparent difference in their definition of the \MSbar{}…

High Energy Physics - Phenomenology · Physics 2013-03-14 John C. Collins , Ted C. Rogers
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