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Different approaches to the problem of a gauge-invariant operator definition of transverse-momentum dependent parton densities (TMDs) are reviewed and compared from the point of view of their compatibility with the operator definition of…

High Energy Physics - Phenomenology · Physics 2011-12-06 Igor O. Cherednikov

We compute the quark and gluon transverse momentum dependent parton distribution functions at next-to-next-to-next-to-leading order (N$^3$LO) in perturbative QCD. Our calculation is based on an expansion of the differential Higgs boson and…

High Energy Physics - Phenomenology · Physics 2020-10-28 Markus A. Ebert , Bernhard Mistlberger , Gherardo Vita

The partonic transverse momentum, k_t distribution plays a crucial role in driving high-energy hadron interactions. If k_t is limited we have old fashioned Regge Theory. If k_t increases with energy the interaction may be described by…

High Energy Physics - Phenomenology · Physics 2014-10-01 V. A. Khoze , A. D. Martin , M. G. Ryskin

We study the leading-twist time-reversal even transverse momentum dependent parton distribution functions (TMDs) of light and heavy vector mesons, i.e., the $\rho$, $J/\psi$ and $\Upsilon$. We employ the leading Fock-state light front wave…

High Energy Physics - Phenomenology · Physics 2022-08-17 Chao Shi , Jicheng Li , Ming Li , Xurong Chen , Wenbao Jia

We analyze the Sivers asymmetry in light-cone gauge. The average transverse momentum of the quark distribution is related to the correlation between the quark distribution and the transverse component of the gauge field at $x^-\pm \infty$.…

High Energy Physics - Phenomenology · Physics 2009-11-10 Matthias Burkardt

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

Two main frameworks for defining transverse momentum dependent (TMD) parton densities are the Collins-Soper-Sterman (CSS) formalism, and the Parton Branching (PB) approach. While PB-TMDs have an explicit dependence on a single scale which…

High Energy Physics - Phenomenology · Physics 2023-09-21 Armando Bermudez Martinez

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 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 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

We study the transverse momentum dependent (TMD) parton distributions in the newly proposed quasi-parton distribution function framework in Euclidean space. A soft factor subtraction is found to be essential to make the TMDs calculable on…

High Energy Physics - Phenomenology · Physics 2015-04-16 Xiangdong Ji , Peng Sun , Xiaonu Xiong , Feng Yuan

Charged hadron differential distributions from muon-induced deep inelastic scattering, DIS, on a $^6$LiD target are presented as function of the DIS variables $x_{Bj}$, $Q^2$, $W^2$ and the hadron variables $p_T$ and $z$. They can be used…

High Energy Physics - Experiment · Physics 2010-08-31 Jean-Francois Rajotte

We present some recently obtained results on transverse-momentum dependent parton distribution functions (TMD PDFs), the latter being important ingredients for the description of semi-inclusive hadronic processes. Special attention is payed…

High Energy Physics - Phenomenology · Physics 2008-11-27 I. O. Cherednikov , N. G. Stefanis

Approximate relations among transverse momentum dependent quark distribution functions are established in the framework of the QCD parton model. The validity of such results survives QCD evolution effects, owing to the Politzer theorem on…

High Energy Physics - Phenomenology · Physics 2011-08-01 Elvio Di Salvo

Soft-gluon resolution scales characterize parton branching Monte Carlo implementations of the evolution equations for parton distribution functions in Quantum Chromodynamics (QCD). We examine scenarios with dynamical, i.e., branching-scale…

High Energy Physics - Phenomenology · Physics 2025-07-11 F. Hautmann , L. Keersmaekers , A. Lelek , S. Sadeghi Barzani , S. Taheri Monfared

We study Euclidean formulations of the transverse-momentum-dependent (TMD) soft function, which is a cross section for soft gluon radiations involving color charges moving in two conjugate lightcone directions in quantum chromodynamics. We…

High Energy Physics - Phenomenology · Physics 2020-06-24 Xiangdong Ji , Yizhuang Liu , Yu-Sheng Liu

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

Quarkonium production at low transverse momentum in hadron collisions can be used to extract Transverse-Momentum-Dependent(TMD) gluon distribution functions, if TMD factorization holds there. We show that TMD factorization for the case of…

High Energy Physics - Phenomenology · Physics 2015-06-19 J. P. Ma , J. X. Wang , S. Zhao

We investigate the leading-twist transverse momentum-dependent distribution functions (TMDs) for a physical electron, a spin-1/2 composite system consisting of a bare electron and a photon, using the Basis Light-front Quantization (BLFQ)…

High Energy Physics - Phenomenology · Physics 2021-02-10 Zhi Hu , Siqi Xu , Chandan Mondal , Xingbo Zhao , James P. Vary

Being the "mother distributions" of all types of two-parton correlation functions, generalized transverse momentum dependent parton distributions (GTMDs) have attracted a lot of attention over the last years. We argue that exclusive double…

High Energy Physics - Phenomenology · Physics 2018-03-01 Shohini Bhattacharya , Andreas Metz , Vikash Kumar Ojha , Jeng-Yuan Tsai , Jian Zhou