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The leading twist transverse momentum dependent parton distribution functions h_{1L}^{\perp} and h_{1T}^\perp, which is sometimes called "pretzelosity," are studied. For h_{1L}^{\perp} we consider a "Wandzura-Wilczek-type" approximation,…

High Energy Physics - Phenomenology · Physics 2009-03-16 H. Avakian , A. V. Efremov , P. Schweitzer , A. Metz , T. Teckentrup

We explore the complete cross-section for the production of unpolarized hadrons in semi-inclusive deep-inelastic scattering up to power-suppressed $\mathcal{O}(1/Q^2)$ terms in the Wandzura-Wilczek-type (WW-type) approximation, which…

High Energy Physics - Phenomenology · Physics 2019-07-30 S. Bastami , H. Avakian , A. V. Efremov , A. Kotzinian , B. U. Musch , B. Parsamyan , A. Prokudin , M. Schlegel , G. Schnell , P. Schweitzer , K. Tezgin

Within the Basis Light-Front Quantization framework, we systematically investigate the subleading twist (twist-3) transverse-momentum-dependent parton distribution functions (TMDs) of the proton beyond the Wandzura-Wilczek (WW)…

High Energy Physics - Phenomenology · Physics 2025-01-22 Zhimin Zhu , Siqi Xu , Jiatong Wu , Hongyao Yu , Zhi Hu , Jiangshan Lan , Chandan Mondal , Xingbo Zhao , James P. Vary , BLFQ Collaboration

New Lorentz Invariance Relations (LIRs) were presented between twist-three Generalized Parton Distributions (GPDs) and transverse momentum, $k_T$, moments of twist-two Generalized Transverse Momentum-Dependent Distributions (GTMDs). By…

High Energy Physics - Phenomenology · Physics 2018-02-22 Simonetta Liuti , Michael Engelhardt , Abha Rajan

Transverse momentum dependent parton distribution functions (TMDPDFs) provide a unique probe of the three-dimensional spin structure of hadrons. We construct spin-dependent quasi-TMDPDFs that are amenable to lattice QCD calculations and…

High Energy Physics - Phenomenology · Physics 2020-10-02 Markus A. Ebert , Stella T. Schindler , Iain W. Stewart , Yong Zhao

In order to study twist-3 and transverse momentum dependent parton distributions, we use light-front time-ordered pQCD at order $\alpha_s$ to calculate various distribution functions for a dressed quark target. This study enables us to…

High Energy Physics - Phenomenology · Physics 2009-11-07 R. Kundu , A. Metz

We examine the QCD evolution of the helicity and transversity parton distribution functions when including also their dependence on transverse momentum. Using an appropriate definition of these polarized transverse momentum distributions…

High Energy Physics - Phenomenology · Physics 2015-06-15 Alessandro Bacchetta , Alexei Prokudin

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

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 2011-10-14 H. Avakian , A. V. Efremov , P. Schweitzer

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…

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

Phenomenological studies of transverse momentum dependent (TMD) parton distributions rely on the expansion in small values of the transverse separation of fields, where TMD parton distributions match onto collinear parton distribution…

High Energy Physics - Phenomenology · Physics 2023-09-07 Simone Rodini , Alessio Carmelo Alvaro , Barbara Pasquini

The 'pretzelosity' distribution is discussed. Theoretical properties, model results, and perspectives to access experimental information on this leading twist, transverse momentum dependent parton distribution function are reviewed. Its…

High Energy Physics - Phenomenology · Physics 2017-08-23 H. Avakian , A. V. Efremov , P. Schweitzer , F. Yuan

We derive relations between 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 of a…

High Energy Physics - Phenomenology · Physics 2011-05-10 A. V. Efremov , P. Schweitzer , O. V. Teryaev , P. Zavada

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 compute the contribution of twist-2 and twist-3 parton distribution functions to the small-$b$ expansion for transverse momentum dependent (TMD) distributions at all powers of $b$. The computation is done by the twist-decomposition…

High Energy Physics - Phenomenology · Physics 2020-08-06 Valentin Moos , Alexey Vladimirov

We advocate the existence of a new type of $k_\perp$-dependent functions. In contrast to the well-known Boer-Mulders function, the presented new functions can be associated with the collective alignment of quark spin vectors. Moreover, the…

High Energy Physics - Phenomenology · Physics 2023-06-30 I. V. Anikin

We calculate the matching of the transversity and pretzelosity transverse momentum dependent distributions (TMD) on transversity collinear distribution at the next-to-next-to-leading order (NNLO). We find that the matching coefficient for…

High Energy Physics - Phenomenology · Physics 2018-08-15 Daniel Gutierrez-Reyes , Ignazio Scimemi , Alexey Vladimirov

We review the study the Wandzura-Wilczek relation for the structure function g_2, with a particular attention on the connection with the framework of Transverse Momentum Dependent factorization. We emphasize that the relation is broken by…

High Energy Physics - Phenomenology · Physics 2009-05-20 Alberto Accardi , Alessandro Bacchetta , Marc Schlegel

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
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