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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

Higher-twist transverse momentum dependent parton distribution functions (TMDs) are a valuable probe of the quark-gluon dynamics in the nucleon, and play a vital role for the explanation of sizable azimuthal asymmetries in hadron production…

High Energy Physics - Phenomenology · Physics 2015-06-23 C. Lorcé , B. Pasquini , P. Schweitzer

A new type of parametrization for parton distribution functions in a proton, based on their $Q^2$-evolution at large and small $x$ values, is constructed. In our analysis, the valence and nonsinglet parts obey the Gross-Llewellyn-Smith and…

High Energy Physics - Phenomenology · Physics 2022-11-01 N. A. Abdulov , A. V. Kotikov , A. V. Lipatov

We give an overview of the current status of perturbative QCD factorization theorems in processes that involve transverse momentum dependent (TMD) parton distribution functions (PDFs) and fragmentation functions (FF). We enumerate those…

High Energy Physics - Phenomenology · Physics 2011-07-21 S. M. Aybat , T. C. Rogers

Azimuthal asymmetries in high-energy processes, most pronounced showing up in combination with single or double (transverse) spin asymmetries, can be understood with the help of transverse momentum dependent (TMD) parton distribution and…

High Energy Physics - Phenomenology · Physics 2015-06-11 M. G. A. Buffing , P. J. Mulders

The hadronization of a high-energy parton is described by fragmentation functions which are introduced through QCD factorizations. While the hadronization mechanism per se remains uknown, fragmentation functions can still be investigated…

High Energy Physics - Phenomenology · Physics 2023-07-07 Kai-Bao Chen , Tianbo Liu , Yu-Kun Song , Shu-Yi Wei

We present a review of current Transverse Momentum Dependent (TMD) phenomenology focusing our attention on the unpolarized TMD parton distribution function and the Sivers function. The paper introduces and comments about the new…

High Energy Physics - Phenomenology · Physics 2015-06-23 Stefano Melis

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 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

The parton branching method is crucial for Monte Carlo generators, which are essential for high-energy physics predictions. We examine the impact of soft gluons on inclusive collinear and Transverse Momentum Dependent (TMD) parton…

High Energy Physics - Phenomenology · Physics 2024-10-10 S. Taheri Monfared

I review some open questions relating to the large transverse momentum divergences in transverse moments of transverse momentum dependent (TMD) parton correlation func- tions. I also explain, in an abbreviated and summarized form, recent…

High Energy Physics - Phenomenology · Physics 2021-02-03 Ted Rogers

We review the current status of collinear and Transverse Momentum Dependent densities based on the Parton Branching method. We investigate the performance of the PB-TMD evolution as well as PB-TMD parton shower with different configurations…

High Energy Physics - Phenomenology · Physics 2021-11-01 S. Taheri Monfared , H. Jung

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

The extension of the statistical parton distributions to include their transverse momentum dependence (TMD) is revisited by considering that the proton target has a finite longitudinal momentum. The TMD will be generated by means of a…

High Energy Physics - Phenomenology · Physics 2015-06-15 Claude Bourrely , Franco Buccella , Jacques Soffer

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

We propose a new framework for transverse-momentum dependent parton distribution functions, based on a generalized conception of gauge invariance which includes into the Wilson lines the Pauli term $\sim F^{\mu\nu}[\gamma_\mu, \gamma_\nu]$.…

High Energy Physics - Phenomenology · Physics 2014-11-20 I. O. Cherednikov , A. I. Karanikas , N. G. Stefanis

We develop a method of transverse momentum dependent (TMD) operator expansion that yields the TMD factorization theorem on the operator level. The TMD operators are systematically ordered with respect to TMD-twist, which allows a certain…

High Energy Physics - Phenomenology · Physics 2022-02-09 Alexey Vladimirov , Valentin Moos , Ignazio Scimemi

The interplay between the small x limit of QCD amplitudes and QCD factorization at moderate x has been studied extensively in recent years. It was finally shown that semiclassical formulations of small x physics can have the form of an…

High Energy Physics - Phenomenology · Physics 2021-05-19 Renaud Boussarie , Yacine Mehtar-Tani

Transverse-momentum dependent parton distributions (TMDs) are studied in the framework of quark models. In particular, quark model relations among TMDs are reviewed and their physical origin is discussed in terms of rotational-symmetry…

High Energy Physics - Phenomenology · Physics 2015-05-28 Cedric Lorce , Barbara Pasquini

With a consistent definition of transverse-momentum-dependent(TMD) light-cone wave function of $B$-meson, we show that the amplitude of the radiative leptonic B-decay can be factorized at one-loop level as a convolution with the wave…

High Energy Physics - Phenomenology · Physics 2009-11-11 J. P. Ma , Q. Wang