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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

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

Transverse momentum dependent (TMD) parton distribution functions (PDFs), TMDs for short, are defined as the Fourier transform of matrix elements of nonlocal combinations of quark and gluon fields. The nonlocality is bridged by gauge links,…

High Energy Physics - Phenomenology · Physics 2015-09-30 D. Boer , M. G. A. Buffing , P. J. Mulders

Transverse Momentum Dependent (TMD) parton distribution functions (PDFs), in short referred to as TMDs, also take into account the transverse momentum (pT) of the partons. Just as the pT-integrated analogues we want to link them to quark…

High Energy Physics - Phenomenology · Physics 2015-06-17 M. G. A. Buffing , P. J. Mulders , A. Mukherjee

Transverse momentum dependent parton distributions (TMDPDFs) which appear in factorized cross sections involve infinite Wilson lines with edges on or close to the light-cone. Since these TMDPDFs are not directly calculable with a Euclidean…

High Energy Physics - Phenomenology · Physics 2019-09-11 Markus A. Ebert , Iain W. Stewart , Yong Zhao

This report attempts to capture the essential workings of gauge links (Wilson lines) inside gauge-invariant formulations of parton distribution functions in QCD and gain some deeper insight into their key (renormalization) properties. We…

High Energy Physics - Phenomenology · Physics 2013-03-25 N. G. Stefanis

We discuss the structure of rapidity divergences that are presented in the soft factors of transverse momentum dependent (TMD) factorization theorems. To provide the discussion on the most general level we consider soft factors for…

High Energy Physics - Phenomenology · Physics 2017-09-29 Alexey Vladimirov

We show that transverse-momentum-dependent parton distribution functions (TMDPDFs), important non-perturbative quantities for describing the properties of hadrons in high-energy scattering processes such as Drell-Yan and semi-inclusive…

High Energy Physics - Phenomenology · Physics 2020-12-30 Xiangdong Ji , Yizhuang Liu , Yu-Sheng Liu

Transverse-momentum-dependent parton distribution functions (TMDs) were investigated at the twists 3 and 4 for spin-1 hadrons in addition to the twist-2 ones. They were found by studying all the possible decomposition of a quark correlation…

High Energy Physics - Phenomenology · Physics 2023-01-18 S. Kumano , Qin-Tao Song

We discuss the unintegrated parton distribution functions (UPDFs) introduced by Kimber, Martin and Ryskin (KMR), which are frequently used in phenomenological analyses of hard processes with transverse momenta of partons taken into account.…

High Energy Physics - Phenomenology · Physics 2018-05-09 Krzysztof Golec-Biernat , Anna M. Stasto

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

We consider the definition of a transverse-momentum-dependent parton distribution function (TMDPDF) and its evolution properties given a factorization theorem of Drell- Yan lepton pair production with a non-vanishing transverse momentum. We…

High Energy Physics - Phenomenology · Physics 2015-06-17 Miguel G. Echevarria , Ahmad Idilbi , Ignazio Scimemi

The un-integrated parton distribution functions (uPDFs) obtained from a CCFM evolution are studied in terms of the intrinsic transverse momentum distribution at low scales. The uPDFs are studied for variations of the renormalization and…

High Energy Physics - Phenomenology · Physics 2007-05-23 Hannes Jung

We have investigated the unpolarized valence quark generalized parton distribution functions (GPDs) and parton distribution functions (PDFs) for heavy spin-$0$, $B$- and $D$-mesons in the light-front quark model (LFQM). PDFs have been…

High Energy Physics - Phenomenology · Physics 2024-08-16 Satyajit Puhan , Harleen Dahiya

With a consistent definition of transverse-momentum dependent (TMD) light-cone wave function, we show that the amplitude for the process $\gamma^* \pi^0 \to\gamma$ can be factorized when the virtuality of the initial photon is large. In…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. P. Ma , Q. Wang

We apply the joint threshold and transverse momentum dependent (TMD) factorization theorem to introduce new threshold-TMD distribution functions, including threshold-TMD parton distribution functions (PDFs) and fragmentation functions…

High Energy Physics - Phenomenology · Physics 2024-06-06 Zhong-Bo Kang , Kajal Samanta , Ding Yu Shao , Yang-Li Zeng

The focus of this talk is on the transverse components of parton momenta. Like for collinear parton distribution functions (PDFs), we are also in the case of transverse momentum dependent (TMD) PDFs, talking about forward matrix elements.…

High Energy Physics - Phenomenology · Physics 2015-11-18 P. J. Mulders

We calculate the perturbative corrections in the strong coupling to the unpolarized quark transverse-momentum dependent parton distribution function (TMDPDF) operator within a background-field framework, extending the approach of Ref. [1].…

High Energy Physics - Phenomenology · Physics 2025-07-01 Swagato Mukherjee , Vladimir V. Skokov , Andrey Tarasov , Shaswat Tiwari

In this section, we discuss some basic features of transverse momentum dependent, or unintegrated, parton distribution functions. In particular, when these correlation functions are combined in a factorization formulae with hard processes…

High Energy Physics - Phenomenology · Physics 2011-02-23 P. J. Mulders , T. C. Rogers

The current status of the theoretical understanding of the transverse-momentum dependent parton densities (TMDs) is discussed. Special attention is payed to the difference between the operator definitions of TMDs proposed so far, the…

High Energy Physics - Phenomenology · Physics 2011-02-07 I. O. Cherednikov