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The conservation of the intrinsic transverse momentum during parton fragmentation imposes non-trivial constraints on T-odd fragmentation functions. These significantly enhance the differences between the favoured and unfavoured…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. Schaefer , O. V. Teryaev

We study parton-branching solutions of QCD evolution equations and present a method to construct both collinear and transverse momentum dependent (TMD) parton densities from this approach. We work with next-to-leading-order (NLO) accuracy…

High Energy Physics - Phenomenology · Physics 2018-02-14 F. Hautmann , H. Jung , A. Lelek , V. Radescu , R. Zlebcik

The CASCADE3 Monte Carlo event generator based on Transverse Momentum Dependent (TMD) parton densities is described. Hard processes which are generated in collinear factorization with LO multileg or NLO parton level generators are extended…

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 review quark model calculations of the transverse momentum dependent parton distributions (TMDs). For the T-even TMDs, we discuss the physical origin of model relations which hold in a large class of quark models. For the T-odd TMDs we…

High Energy Physics - Phenomenology · Physics 2017-08-23 B. Pasquini , C. Lorce'

In order to describe the hadronization of polarized quarks, we discuss an extension of the quark-jet model to transverse momentum dependent fragmentation functions. The description is based on a product ansatz, where each factor in the…

Nuclear Theory · Physics 2016-08-10 W. Bentz , A. Kotzinian , H. H. Matevosyan , Y. Ninomiya , A. W. Thomas , K. Yazaki

We introduce transverse momentum dependent parton distribution functions (TMDs) for gluons with definite rank. The rank refers to the azimuthal dependence corresponding to the tensorial structure in transverse momenta multiplying universal…

High Energy Physics - Phenomenology · Physics 2013-06-28 M. G. A. Buffing , A. Mukherjee , P. J. Mulders

Piecewise Deterministic Monte Carlo algorithms enable simulation from a posterior distribution, whilst only needing to access a sub-sample of data at each iteration. We show how they can be implemented in settings where the parameters live…

Transverse momentum dependent (TMD) parton distribution functions (PDFs), TMDs for short, are defined as the Fourier transform of matrix elements of nonlocal combinations of quark and gluon fields. The nonlocality is bridged by gauge links,…

High Energy Physics - Phenomenology · Physics 2015-09-30 D. Boer , M. G. A. Buffing , P. J. Mulders

The role of soft gluons in inclusive collinear parton densities as well as in Transverse Momentum Dependent (TMD) parton densities is discussed. Applying the Parton-Branching (PBM) method, the so-called non-perturbative Sudakov form factor…

High Energy Physics - Phenomenology · Physics 2024-05-24 H. Jung

We present a method for the numerical computation of Fourier-Bessel transforms on a finite or infinite interval. The function to be transformed needs to be evaluated on a grid of points that is independent of the argument of the Bessel…

High Energy Physics - Phenomenology · Physics 2024-08-21 Markus Diehl , Oskar Grocholski

We present a summary of a recent workshop held at Duke University on Partonic Transverse Momentum in Hadrons: Quark Spin-Orbit Correlations and Quark-Gluon Interactions. The transverse momentum dependent parton distribution functions…

The effective cross section of double parton scattering in high-energy hadron collisions has been measured in proton--proton collisions, with significant variation among final-state observables, contrary to the idea of a universal value.…

High Energy Physics - Phenomenology · Physics 2026-05-14 Joao Vitor C. Lovato , Edgar Huayra , Emmanuel G. de Oliveira

We formulate the statistics of the discrete multicomponent fragmentation event using a methodology borrowed from statistical mechanics. We generate the ensemble of all feasible distributions that can be formed when a single integer…

Statistical Mechanics · Physics 2020-07-03 Themis Matsoukas

We present a perturbative calculation of the transverse parton distribution functions in all partonic channels up to next-to-next-to-leading order based on a gauge invariant operator definition. We demonstrate for the first time that such a…

High Energy Physics - Phenomenology · Physics 2014-01-08 Thomas Gehrmann , Thomas Luebbert , Li Lin Yang

We investigate the predictive power of transverse-momentum-dependent (TMD) distributions as a function of the light-cone momentum fraction $x$ and the hard scale $Q$ defined by the process. We apply the saddle point approximation to the…

High Energy Physics - Phenomenology · Physics 2020-07-03 Manvir Grewal , Zhong-Bo Kang , Jian-Wei Qiu , Andrea Signori

We have investigated the pseudo-scalar meson structure in the form of transverse momentum-dependent parton distribution functions (TMDs) in the light-front based holographic model and quark model. Starting from leading order, we have…

High Energy Physics - Phenomenology · Physics 2024-05-02 Satyajit Puhan , Shubham Sharma , Navpreet Kaur , Narinder Kumar , Harleen Dahiya

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 the usual factorization theorems, which give predictions only for inclusive cross sections, there is considerable freedom in the choice of the scheme to define the parton distribution functions. These theorems do not directly apply to…

High Energy Physics - Phenomenology · Physics 2009-11-07 John C. Collins , Xiaomin Zu

Transverse momentum dependent parton distribution functions, also abbreviated as TMDs, offer a three-dimensional picture of hadrons by taking the intrinsic transverse momentum of the parton into consideration. Hence, they are very important…

High Energy Physics - Phenomenology · Physics 2021-12-03 Xiao Liu , Wenjuan Mao , Xiaoyu Wang , Bo-Qiang Ma
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