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We present a short overview on transverse momentum dependent parton distribution and fragmentation functions, giving their partonic interpretation and ways to access them. We then discuss the issue of their universality and its connection…

High Energy Physics - Phenomenology · Physics 2022-03-02 Umberto D'Alesio

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

In this section, we discuss some basic features of transverse momentum dependent, or unintegrated, parton distribution functions. In particular, when these correlation functions are combined in a factorization formulae with hard processes…

High Energy Physics - Phenomenology · Physics 2011-02-23 P. J. Mulders , T. C. Rogers

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

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

I review TMD factorization and evolution theorems, with an emphasis on the treatment by Collins and originating in the Collins-Soper-Sterman (CSS) formalism. I summarize basic results while attempting to trace their development over that…

High Energy Physics - Phenomenology · Physics 2016-07-20 Ted C. Rogers

Central to understanding the nonpertubative, intrinsic partonic nature of hadron structure are the concepts of transverse momentum dependent (TMD) parton distribution and fragmentation functions. A TMD factorization approach to the…

High Energy Physics - Phenomenology · Physics 2022-08-17 J. O. Gonzalez-Hernandez , T. C. Rogers , N. Sato

The unpolarised transverse momentum dependent distribution and fragmentation functions are extracted from HERMES and COMPASS experimental measurements of SIDIS multiplicities for charged hadron production. The data are grouped into…

High Energy Physics - Phenomenology · Physics 2015-06-18 M. Anselmino , M. Boglione , J. O. Gonzalez H. , S. Melis , A. Prokudin

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

Our knowledge on the three-dimensional momentum structure of hadrons is encoded in the Transverse Momentum Dependent partonic distribution and fragmentation functions (TMDs). A brief and updated review of the TMDs and of the processes in…

High Energy Physics - Phenomenology · Physics 2015-05-30 M. Boglione

We consider the definition of unpolarized transverse-momentum-dependent parton distribution functions while staying on-the-light-cone. By imposing a requirement of identical treatment of two collinear sectors, our approach, compatible with…

High Energy Physics - Phenomenology · Physics 2015-06-11 Miguel G. Echevarria , Ahmad Idilbi , Ignazio Scimemi

We discuss the structure of rapidity divergences that are presented in the soft factors of transverse momentum dependent (TMD) factorization theorems. To provide the discussion on the most general level we consider soft factors for…

High Energy Physics - Phenomenology · Physics 2017-09-29 Alexey Vladimirov

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…

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 discuss the state-of-the-art of the theory of transverse-momentum dependent parton densities (TMD)s, paying special attention to their renormalization properties, the structure of the gauge links in the operator definition, and the role…

High Energy Physics - Phenomenology · Physics 2017-08-23 I. O. Cherednikov , N. G. Stefanis

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 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 study the transverse momentum dependent (TMD) parton distributions at small-x in a consistent framework that takes into account the TMD evolution and small-x evolution simultaneously. The small-x evolution effects are included by…

High Energy Physics - Phenomenology · Physics 2017-06-28 Bo-Wen Xiao , Feng Yuan , Jian Zhou

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

We establish robust relations between Transverse Momentum Dependent distributions (TMDs) and collinear distributions. We define weighted integrals of TMDs that we call Transverse Momentum Moments (TMMs) and prove that TMMs are equal to…

High Energy Physics - Phenomenology · Physics 2025-01-27 Oscar del Rio , Alexei Prokudin , Ignazio Scimemi , Alexey Vladimirov
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