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This article gives an introduction to transverse momentum dependent (TMD) parton distribution functions and their use in shower Monte Carlo event generators for high-energy hadron collisions, and describes recent progress in the treatment…

High Energy Physics - Phenomenology · Physics 2012-05-30 F. Hautmann , M. Hentschinski , H. Jung

We investigate the transverse momentum dependent (TMD) quark and gluon distribution functions in the modified chiral quark model ($\chi QM$). Calculations of the TMD quark and gluon densities, using the modified $\chi QM$ are done for the…

High Energy Physics - Phenomenology · Physics 2014-06-30 H. Nematollahi , M. M. Yazdanpannah , A. Mirjalili

I discuss the recent implementation of medium-modified splitting functions within the HERWIG angular-ordered parton shower algorithm and present a few results on transverse momentum, energy and angular distributions.

High Energy Physics - Phenomenology · Physics 2010-11-19 Gennaro Corcella

The concepts and methods of factorization using transverse-momentum-dependent (TMD) parton densities and/or fragmentation functions are summarized.

High Energy Physics - Phenomenology · Physics 2015-06-16 John Collins

We introduce operator definitions for virtual photon fragmentation functions, which are needed for reliable calculations of Drell-Yan transverse momentum ($Q_T$) distributions when $Q_T$ is much larger than the invariant mass $Q$. We derive…

High Energy Physics - Phenomenology · Physics 2009-11-07 Jianwei Qiu , Xiaofei Zhang

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

Within the framework of the constituent quark model, it is shown that the single hadron fragmentation function of a parton can be expressed as a convolution of shower diquark or triquark distribution function and quark recombination…

Nuclear Theory · Physics 2014-11-18 Abhijit Majumder , Enke Wang , Xin-Nian Wang

Transverse momentum dependent distribution and fragmentation functions of unpolarized quarks inside unpolarized protons are extracted, for the first time, through a simultaneous analysis of semi-inclusive deep-inelastic scattering,…

High Energy Physics - Phenomenology · Physics 2018-01-26 Cristian Pisano , Alessandro Bacchetta , Filippo Delcarro , Marco Radici , Andrea Signori

The role of transverse momentum of quarks in semi-inclusive leptoproduction will be discussed. It involves generalized distribution and fragmentation functions which depend on both the longitudinal lightcone momentum fraction of the quarks…

High Energy Physics - Phenomenology · Physics 2007-05-23 R. Jakob , A. Kotzinian , P. J. Mulders , J. Rodrigues

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 transverse momentum-dependent fragmentation functions (TMD FFs) of heavy (bottom and charm) quarks, which we recently introduced, are universal building blocks that enter predictions for a large number of observables involving…

High Energy Physics - Phenomenology · Physics 2025-03-04 Rebecca von Kuk , Johannes K. L. Michel , Zhiquan Sun

We present the third-order contributions to the quark-gluon and gluon-quark timelike splitting functions for the evolution of fragmentation functions in perturbative QCD. These quantities have been derived by studying physical evolution…

High Energy Physics - Phenomenology · Physics 2015-05-28 A. A. Almasy , A. Vogt , S. Moch

We present a global analysis of Sivers functions, transversity distribution functions, and Collins fragmentation functions within the transverse momentum dependent factorization. This analysis encompasses the latest data from semi-inclusive…

High Energy Physics - Phenomenology · Physics 2024-12-25 Chunhua Zeng , Hongxin Dong , Tianbo Liue , Peng Sun , Yuxiang Zhao

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 discuss the fact that $k_t$-factorization calculations for heavy-quark production include only the $gg\rightarrow Q\bar{Q}$ contribution. The cases of fixed-flavor-number scheme and variable-flavor-number scheme calculations are analyzed…

High Energy Physics - Phenomenology · Physics 2019-04-10 Benjamin Guiot

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 report the first calculation of the simplest but most fundamental transverse momentum dependent (TMD) distribution of quarks in the nucleon, i.e. the time-reversal-even unpolarized TMD quark and antiquark distribution with isoscalar…

High Energy Physics - Phenomenology · Physics 2009-07-30 M. Wakamatsu

To resolve the current ambiguity in the splitting function corresponding to the quark transversity distribution $h_1(x)$, we calculate $h_1(x)$ for a dressed quark in light-front Hamiltonian perturbation theory. Our result agrees with the…

High Energy Physics - Phenomenology · Physics 2009-11-07 Asmita Mukherjee , Dipankar Chakrabarti

The transverse nucleon spin can be transferred to the quarks and gluons in several ways. In the factorizing, hard scattering processes to be considered, these are parameterized at leading twist by the transversity distribution function and…

High Energy Physics - Phenomenology · Physics 2009-11-07 Daniel Boer

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