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Related papers: TMD theory, factorization and evolution

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Dynamic mode decomposition (DMD) has become a powerful data-driven method for analyzing the spatiotemporal dynamics of complex, high-dimensional systems. However, conventional DMD methods are limited to matrix-based formulations, which…

Systems and Control · Electrical Eng. & Systems 2025-08-05 Ziqin He , Mengqi Hu , Yifei Lou , Can Chen

The QCD evolution of the unpolarized Transverse Momentum Dependent (TMD) distribution functions and of the Sivers functions have been discussed in recent papers. Following such results we reconsider previous extractions of the Sivers…

High Energy Physics - Phenomenology · Physics 2013-05-30 M. Anselmino , M. Boglione , S. Melis

Transverse-momentum dependent (TMD) light-cone wave functions of a light meson are important ingredients in the TMD QCD factorization of exclusive processes. This factorization allows one conveniently resum Sudakov logarithms appearing in…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. P. Ma , Q. Wang

We derive a factorization theorem for Drell-Yan process at low q_T using effective field theory methods. In this theorem all the obtained quantities are gauge invariant and the special role of the soft function--and its subtraction…

High Energy Physics - Phenomenology · Physics 2015-06-03 Miguel G. Echevarria , Ahmad Idilbi , Ignazio Scimemi

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 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

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

We examine some of the complications involved when combining (matching) TMD factorization with collinear factorization to allow accurate predictions over the whole range of measured transverse momentum in a process like Drell-Yan. Then we…

High Energy Physics - Phenomenology · Physics 2017-02-02 J. Collins , L. Gamberg , A. Prokudin , T. C. Rogers , N. Sato , B. Wang

Different approaches to define transverse-momentum dependent parton distribution functions are considered from the point of view of their renormalization-group properties. The associated one-loop anomalous dimensions of these quantities are…

High Energy Physics - Phenomenology · Physics 2009-11-06 I. O. Cherednikov , N. G. Stefanis

In this review, we describe the status of transverse momentum dependence (TMD) in double parton scattering (DPS). The different regions of TMD DPS are discussed, and expressions given for the DPS cross section contributions that make use of…

High Energy Physics - Phenomenology · Physics 2019-02-18 Jonathan R. Gaunt , Tomas Kasemets

We study a transverse momentum dependent (TMD) factorization framework for the processes of di-jet and heavy meson pair production in deep-inelastic-scattering in an electron-proton collider, considering the measurement of the transverse…

High Energy Physics - Phenomenology · Physics 2021-02-03 Rafael F. del Castillo , Miguel G. Echevarria , Yiannis Makris , Ignazio Scimemi

We present a comprehensive analysis and extraction of the unpolarized transverse momentum dependent (TMD) parton distribution functions, which are fundamental constituents of the TMD factorization theorem. We provide a general review of the…

High Energy Physics - Phenomenology · Physics 2018-03-14 Ignazio Scimemi , Alexey Vladimirov

We perform a re-analysis of Belle data for the transverse $\Lambda$ and $\bar\Lambda$ polarization in $e^+ e^-$ annihilation processes within a transverse momentum dependent (TMD) factorization approach. We consider two data sets, one…

High Energy Physics - Phenomenology · Physics 2022-12-28 Umberto D'Alesio , Leonard Gamberg , Francesco Murgia , Marco Zaccheddu

The transverse-momentum-dependent (TMD) soft function is a key ingredient in QCD factorization of Drell-Yan and other processes with relatively small transverse momentum. We present a lattice QCD study of this function at moderately large…

High Energy Physics - Lattice · Physics 2020-11-11 Qi-An Zhang , Jun Hua , Yikai Huo , Xiangdong Ji , Yizhuang Liu , Yu-Sheng Liu , Maximilian Schlemmer , Andreas Schäfer , Peng Sun , Wei Wang , Yi-Bo Yang

This is intend to provide an overview of the theoretical and phenomenological parts of the TMD (Transverse Momentum Dependent parton distribution and fragmentation functions) studies. By comparing with the theoretical framework that we have…

High Energy Physics - Phenomenology · Physics 2016-03-23 Zuo-tang Liang

Transverse Momentum Dependent (TMD) parton distribution functions (PDFs), in short referred to as TMDs, also take into account the transverse momentum (pT) of the partons. Just as the pT-integrated analogues we want to link them to quark…

High Energy Physics - Phenomenology · Physics 2015-06-17 M. G. A. Buffing , P. J. Mulders , A. Mukherjee

The operator definition of generalised transverse-momentum-dependent (GTMD) distributions is exploited to compute for the first time the full set of one-loop corrections to the off-forward matching functions. These functions allow one to…

High Energy Physics - Phenomenology · Physics 2022-11-09 Valerio Bertone

We construct an improved implementation for combining transverse-momentum-dependent (TMD) factorization and collinear factorization. TMD factorization is suitable for low transverse momentum physics, while collinear factorization is…

High Energy Physics - Phenomenology · Physics 2016-08-17 J. Collins , L. Gamberg , A. Prokudin , T. C. Rogers , N. Sato , B. Wang

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 collinear factorization theorem, combined with finite-order calculations in perturbative QCD, provides a powerful framework to obtain predictions for many collider observables. However, for observables which involve multiple energy…

High Energy Physics - Phenomenology · Physics 2022-02-03 Aleksandra Lelek