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We present main elements of the construction of unintegrated double parton distribution functions which depend on transverse momenta of partons. We follow the method proposed by Kimber, Martin and Ryskin for a construction of unintegrated…

High Energy Physics - Phenomenology · Physics 2017-04-05 Krzysztof Golec-Biernat , Anna Stasto

Following an earlier derivation by Catani-de Florian-Grazzini (2000) on the scheme dependence in the Collins-Soper-Sterman (CSS) resummation formalism in hard scattering processes, we investigate the scheme dependence of the Transverse…

High Energy Physics - Phenomenology · Physics 2015-10-07 Alexei Prokudin , Peng Sun , Feng Yuan

We present the determination of Transverse Momentum Dependent (TMD) parton distributions from Monte Carlo parton showers. We investigate the effective TMD distributions obtained from the PYTHIA8 and HERWIG6 parton showers and compare them…

High Energy Physics - Phenomenology · Physics 2019-07-23 Melanie Schmitz , Francesco Hautmann , Hannes Jung , Sara Taheri Monfared

This handbook provides a comprehensive review of transverse-momentum-dependent parton distribution functions and fragmentation functions, commonly referred to as transverse momentum distributions (TMDs). TMDs describe the distribution of…

We review some of the features of the evolutions equations for transverse momentum dependent parton distributions recently proposed by us. We briefly describe the new ingredients entering the equations and their relationship with ordinary…

High Energy Physics - Phenomenology · Physics 2010-11-19 Federico Alberto Ceccopieri

Transverse momentum dependent (TMD) distribution and fragmentation functions are described as Fourier transforms of matrix elementscontaining nonlocal combinations of quark and gluon fields. These matrix elements also contain a gauge link…

High Energy Physics - Phenomenology · Physics 2022-03-02 P. J. Mulders , M. G. A. Buffing , A. Mukherjee

Momentum sum rules for fragmentation functions are considered. In particular, we give a general proof of the Sch\"afer-Teryaev sum rule for the transverse momentum dependent Collins function. We also argue that corresponding sum rules for…

High Energy Physics - Phenomenology · Physics 2012-07-11 S. Meissner , A. Metz , D. Pitonyak

We present detailed numerical analysis of the unintegrated double gluon distribution which includes the dependence on the transverse momenta of partons. The unintegrated double gluon distribution was obtained following the…

High Energy Physics - Phenomenology · Physics 2018-03-14 Edgar Elias , Krzysztof Golec-Biernat , Anna M. Stasto

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

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

Using soft collinear effective field theory, we derive the factorization theorem for the quasi-transverse-momentum-dependent (quasi-TMD) operator. We check the factorization theorem at one-loop level and compute the corresponding…

High Energy Physics - Phenomenology · Physics 2020-05-06 Alexey A. Vladimirov , Andreas Schäfer

Transverse-momentum-dependent distributions (TMDs) are central in high-energy physics from both theoretical and phenomenological points of view. In this manual we introduce the library, TMDlib, of fits and parameterisations for…

High Energy Physics - Phenomenology · Physics 2015-06-22 F. Hautmann , H. Jung , M. Krämer , P. J. Mulders , E. R. Nocera , T. C. Rogers , A. Signori

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

We present first observations of the transversity parton distribution based on an analysis of pion-pair production in deep inelastic scattering off transversely polarized targets. The extraction of transversity relies on the knowledge of…

High Energy Physics - Phenomenology · Physics 2011-10-27 Alessandro Bacchetta , A. Courtoy , Marco Radici

When more than one hadron takes part in a hard process, an extended set of quark distribution and fragmentation functions becomes relevant. In this talk, the derivation of Soffer-like bounds for these functions, in the case of a spin-1/2…

High Energy Physics - Phenomenology · Physics 2015-06-25 A. Henneman

Parametrizing TMD parton densities and fragmentation functions in ways that consistently match their large transverse momentum behavior in standard collinear factorization has remained notoriously difficult. We show how the problem is…

High Energy Physics - Phenomenology · Physics 2023-06-07 J. O. Gonzalez-Hernandez , T. Rainaldi , T. C. Rogers

All the leading-twist parton distribution functions are calculated in a spectator model of the nucleon, using scalar and axial-vector diquarks. Single gluon rescattering is used to generate T-odd distribution functions. Different choices…

High Energy Physics - Phenomenology · Physics 2009-01-14 A. Bacchetta , F. Conti , M. Radici

I present some results about transverse momentum dependent distribution and fragmentation functions. Firstly I illustrate a simple model, with predictive power about the energy behavior, for T-odd, chiral odd functions. Moreover I propose a…

High Energy Physics - Phenomenology · Physics 2008-11-26 E. Di Salvo

In this work, we calculate a broad class of parton distributions - including parton distribution functions (PDFs), transverse-momentum-dependent distributions (TMDs), generalized parton distributions (GPDs), generalized…

High Energy Physics - Phenomenology · Physics 2026-05-29 Shohini Bhattacharya , Chuan-Qi He , Zhong-Bo Kang , Diego Padilla , Jani Penttala

Transverse momentum dependent parton distribution functions (TMDPDFs) encode information about the intrinsic motion of quarks inside the nucleon. They are important non-perturbative ingredients in our understanding of, e.g., azimuthal…

High Energy Physics - Lattice · Physics 2008-11-11 Bernhard U. Musch , Philipp Hägler , Andreas Schäfer , Dru B. Renner , John W. Negele , LHPC Collaboration