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We derive the leading order matching of the quark generated polarized transverse momentum dependent (TMD) distributions onto the collinear functions at small values of the transverse distance. Starting from the very definition of the TMD…

High Energy Physics - Phenomenology · Physics 2018-10-17 Ignazio Scimemi , Alexey Vladimirov

We present the first next-to-next-to-next-to-leading order (N$^3$LO) calculation of the twist-2 matching coefficients for transverse momentum dependent (TMD) quark transversity parton distribution and fragmentation functions in QCD. This…

High Energy Physics - Phenomenology · Physics 2026-02-03 Yu Jiao Zhu

The transverse momentum dependent parton distribution/fragmentation functions (TMDs) are essential in the factorization of a number of processes like Drell-Yan scattering, vector boson production, semi-inclusive deep inelastic scattering,…

High Energy Physics - Phenomenology · Physics 2018-06-05 Miguel G. Echevarria , Ignazio Scimemi , Alexey Vladimirov

We study parton-branching solutions of QCD evolution equations and present a method to construct both collinear and transverse momentum dependent (TMD) parton densities from this approach. We work with next-to-leading-order (NLO) accuracy…

High Energy Physics - Phenomenology · Physics 2018-02-14 F. Hautmann , H. Jung , A. Lelek , V. Radescu , R. Zlebcik

We provide a concise overview on transverse momentum dependent (TMD) parton distribution functions, their application to topical issues in high-energy physics phenomenology, and their theoretical connections with QCD resummation, evolution…

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

Transverse parton momentum dependent distribution functions (TMDs) of the nucleon are studied in a covariant model, which describes the intrinsic motion of partons in terms of a covariant momentum distribution. The consistency of the…

High Energy Physics - Phenomenology · Physics 2009-09-02 A. V. Efremov , P. Schweitzer , O. V. Teryaev , P. Zavada

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 compute the tree-level and one-loop matching relations for leading power gluon transverse momentum dependent parton distribution functions. At tree-level, working within the spinor formalism, we focus on twist-2 and twist-3…

High Energy Physics - Phenomenology · Physics 2026-05-11 Alessio Carmelo Alvaro , Nanako Kato , Barbara Pasquini , Cristian Pisano , Simone Rodini

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 review quark model calculations of the transverse momentum dependent parton distributions (TMDs). For the T-even TMDs, we discuss the physical origin of model relations which hold in a large class of quark models. For the T-odd TMDs we…

High Energy Physics - Phenomenology · Physics 2017-08-23 B. Pasquini , C. Lorce'

Transverse Momentum Dependent (TMD) parton distribution functions (PDFs) also take into account the transverse momentum ($p_T$) of the partons. The $p_T$-integrated analogues can be linked directly to quark and gluon matrix elements using…

High Energy Physics - Phenomenology · Physics 2014-04-02 P. J. Mulders , M. G. A. Buffing

We report a calculation of the perturbative matching coefficients for the transverse-momentum-dependent parton distribution functions for quark at the next-to-next-to-next-to-leading order in QCD, which involves calculation of non-standard…

High Energy Physics - Phenomenology · Physics 2020-06-12 Ming-xing Luo , Tong-Zhi Yang , Hua Xing Zhu , Yu Jiao Zhu

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

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

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

The covariant parton model is generalized to describe quark correlators in a systematic way. Previous results are reproduced for the T-even leading-twist transverse momentum dependent parton distribution functions (TMDs), and for the first…

High Energy Physics - Phenomenology · Physics 2021-02-03 S. Bastami , A. V. Efremov , P. Schweitzer , O. V. Teryaev , P. Zavada

We investigate the transverse momentum dependent parton distributions (TMDs) in the quasi-parton-distribution framework. The long standing hurdle of the so-called pinch pole singularity from the space-like gauge links in the TMD definitions…

High Energy Physics - Phenomenology · Physics 2019-06-12 Xiangdong Ji , Lu-Chang Jin , Feng Yuan , Jian-Hui Zhang , Yong Zhao

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 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
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