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We discuss ongoing progress towards precise characterizations of parton distributions at fixed transverse momentum, focusing on matrix elements in coordinate space and the treatment of endpoint singularities.

High Energy Physics - Phenomenology · Physics 2007-08-10 F. Hautmann

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

Extracting information on the three-dimensional structure of hadrons from transverse-momentum data is a challenging task, requiring the separation of perturbative contributions under QCD control from genuinely non-perturbative effects,…

High Energy Physics - Phenomenology · Physics 2025-09-09 Andrea Simonelli

I give an account of the definitions of parton densities, both the conventional ones, integrated over parton transverse momentum, and unintegrated transverse-momentum-dependent densities. The aim is to get a precise and correct definition…

High Energy Physics - Phenomenology · Physics 2007-05-23 John C. Collins

We develop convergent variational perturbation theory for quantum statistical density matrices. The theory is applicable to polynomial as well as nonpolynomial interactions. Illustrating the power of the theory, we calculate the…

Quantum Physics · Physics 2009-10-31 M. Bachmann , H. Kleinert , A. Pelster

In this talk, we summarize how QCD evolution can be exploited to improve the treatment of transverse momentum dependent (TMD) parton distribution and fragmentation functions. The methods allow existing non-perturbative fits to be turned…

High Energy Physics - Phenomenology · Physics 2011-10-28 S. Mert Aybat , Ted C. Rogers

We consider the definition of a transverse-momentum-dependent parton distribution function (TMDPDF) and its evolution properties given a factorization theorem of Drell- Yan lepton pair production with a non-vanishing transverse momentum. We…

High Energy Physics - Phenomenology · Physics 2015-06-17 Miguel G. Echevarria , Ahmad Idilbi , Ignazio Scimemi

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

We discuss the renormalization of gauge-invariant transverse-momentum dependent (TMD), i.e., unintegrated, parton distribution functions (PDFs) and carry out the calculation of their anomalous dimension at one loop. We show that in the…

High Energy Physics - Phenomenology · Physics 2008-10-01 N. G. Stefanis , I. O. Cherednikov

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…

Following previous work [1], we propose to analyze the rapidity dependence of transverse momentum and transverse-momentum multiplicity correlations. We demonstrate that the orthogonal polynomial expansion of the latter has the potential to…

High Energy Physics - Phenomenology · Physics 2017-10-03 Adam Bzdak

The transverse-momentum dependent quark distributions are studied in the limit of the large number of colors Nc. The leading orders of Nc are determined for all twist-2 distributions including the T-odd functions. The isospin structure of…

High Energy Physics - Phenomenology · Physics 2007-05-23 P. V. Pobylitsa

This talk provides a short overview of the phenomenology of transverse momentum depedent distribution and fragmention functions, focussing on the most recent phenomenological developments in the study of their scale evolution and energy…

High Energy Physics - Phenomenology · Physics 2015-06-17 M. Boglione

The cross section for transverse momentum dependent double parton scattering involves transverse momentum dependent double parton distributions (DTMDs). In the region of perturbative transverse momentum the DTMDs can be matched onto…

High Energy Physics - Phenomenology · Physics 2016-11-02 Maarten G. A. Buffing , Markus Diehl , Tomas Kasemets

We study the effects of quantum corrections on transverse momentum broadening of a fast parton passing through dense QCD matter. We show that, at leading logarithmic accuracy the broadening distribution tends at late times or equivalently…

High Energy Physics - Phenomenology · Physics 2022-10-05 Paul Caucal , Yacine Mehtar-Tani

We are interested in the transverse-momentum ($q_T$) distribution of a diphoton pair produced in hadron collisions. We resum the logarithmically-enhanced perturbative QCD contributions at small values of $q_T$ up to next-to-next-to-leading…

High Energy Physics - Phenomenology · Physics 2015-10-21 Leandro Cieri

We consider the problems of gauge invariance, path-dependence and treatment of overlapping UV/rapidity divergences peculiar to the transverse-momentum dependent parton distribution functions (TMDs). For different formulations of the TMDs…

High Energy Physics - Phenomenology · Physics 2012-06-27 I. O. Cherednikov

In QCD, the similarity of multiplicity distributions is violated i) by the running of the strong coupling constant alpha_s and ii) by the self-similar nature of parton cascades. It will be shown that the data collapsing behavior of P_n onto…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. Hegyi

Measurements of single transverse spin asymmetries in high energy inclusive processes have always shown unexpected and challenging results. Several cases are considered and discussed within a QCD approach which couples perturbative dynamics…

High Energy Physics - Phenomenology · Physics 2009-11-07 Mauro Anselmino

A consistent and intuitive description of the twist-4 corrections to the hadron structure functions is presented in a QCD-improved parton model using time-ordered perturbative theory, where the collinear singularities are naturally…

High Energy Physics - Phenomenology · Physics 2009-10-31 Wei Zhu , Hongwei Xiong , Jianhong Ruan