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Parton branching solutions of QCD evolution equations have recently been studied to construct both collinear and transverse momentum dependent (TMD) parton distributions. In this formalism, a soft-gluon resolution scale is introduced to…

High Energy Physics - Phenomenology · Physics 2022-07-28 S. Sadeghi Barzani

The parton quasi-distribution functions (QDFs) of Ji have been found by Radyushkin to be directly related to the transverse momentum distributions (TMDs), to the pseudo-distributions, and to the Ioffe-time distributions (ITDs). This makes…

High Energy Physics - Phenomenology · Physics 2018-03-07 Wojciech Broniowski , Enrique Ruiz Arriola

The role of transverse momentum of quarks in semi-inclusive leptoproduction will be discussed. It involves generalized distribution and fragmentation functions which depend on both the longitudinal lightcone momentum fraction of the quarks…

High Energy Physics - Phenomenology · Physics 2007-05-23 R. Jakob , A. Kotzinian , P. J. Mulders , J. Rodrigues

We present a short overview on the studies of transverse momentum dependent parton distribution functions of the nucleon. The aim of such studies is to provide a three dimensional imagining of the nucleon and a comprehensive description of…

High Energy Physics - Phenomenology · Physics 2015-06-25 Kai-bao Chen , Shu-yi Wei , Zuo-tang Liang

We present a solution of the DGLAP evolution equations, written in terms of Sudakov form factors to describe the branching and no-branching probabilities, using a parton branching Monte Carlo method. We demonstrate numerically that this…

High Energy Physics - Phenomenology · Physics 2017-10-12 Aleksandra Lelek

We discuss the evolution of the eight leading twist transverse momentum dependent parton distribution functions, which turns out to be universal and spin independent. By using the highest order perturbatively calculable ingredients at our…

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

We present two Monte Carlo algorithms of the Markovian type which solve the modified QCD evolution equations at the NLO level. The modifications with respect to the standard DGLAP evolution concern the argument of the strong coupling…

High Energy Physics - Phenomenology · Physics 2009-03-24 P. Stoklosa , W. Placzek , M. Skrzypek

This paper is devoted to studying a system of coupled nonlinear first order history-dependent evolution inclusions in the framework of evolution triples of spaces. The multivalued terms are of the Clarke subgradient or of the convex…

Analysis of PDEs · Mathematics 2023-09-12 S. Migorski

In this contribution TMD evolution of azimuthal asymmetries, in particular of the Sivers and double Collins asymmetries, is addressed. A comparison of the scale dependence is made between asymmetries described with TMD factorization at low…

High Energy Physics - Phenomenology · Physics 2015-06-16 Daniel Boer

We survey the current phenomenological status of semi-inclusive deep inelastic scattering at moderate hard scales and in the limit of very large transverse momentum. As the transverse momentum becomes comparable to or larger than the…

High Energy Physics - Phenomenology · Physics 2018-12-19 J. O. Gonzalez-Hernandez , T. C. Rogers , N. Sato , B. Wang

The factorization theorems for transverse momentum distributions of dilepton/boson production, recently formulated by Collins and Echevarria-Idilbi-Scimemi in terms of well-defined transverse momentum dependent distributions (TMDs), allows…

High Energy Physics - Phenomenology · Physics 2015-06-22 Umberto D'Alesio , Miguel G. Echevarria , Stefano Melis , Ignazio Scimemi

We study the evolution behavior of generalized parton distributions at small longitudinal momentum fraction. Particular attention is paid to the ratio of a generalized parton distribution and its forward limit, to the mixing between quarks…

High Energy Physics - Phenomenology · Physics 2008-11-26 Markus Diehl , Wolfgang Kugler

QCD is analysed with two light-front continuum dimensions and two transverse lattice dimensions. In the limit of large number of colours and strong transverse gauge coupling, the contributions of light-front and transverse directions…

High Energy Physics - Lattice · Physics 2009-11-10 Apoorva Patel , Raghunath Ratabole

We report on the first global analysis of transverse momentum dependent helicity distributions of the proton. The analysis is performed at next-to-leading order with the evolution factor at next-to-next-to-leading-logarithmic accuracy.…

High Energy Physics - Phenomenology · Physics 2025-04-01 Ke Yang , Tianbo Liu , Peng Sun , Yuxiang Zhao , Bo-Qiang Ma

We discuss a possible explanation of the 25 year old mystery of the large transverse spin asymmetries found in many semi-inclusive hadron-hadron reactions. We obtain the first reliable information about the transverse polarized quark…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. Boglione , E. Leader

We discuss different operator definitions of the transverse-momentum dependent (TMD) parton densities from the point of view of their renormalization-group (RG) properties and UV evolution. We also consider the structure of the gauge links…

High Energy Physics - Phenomenology · Physics 2011-04-04 I. O. Cherednikov , N. G. Stefanis

We consider the extension of the statistical parton distributions to include their transverse momentum dependence, by using two different methods, one is based on our quantum statistical approach, the other on a relativistic covariant…

High Energy Physics - Phenomenology · Physics 2011-04-28 Claude Bourrely , Franco Buccella , Jacques Soffer

To study the heavy quark production processes, we use the transverse momentum dependent (TMD, or unintegrated) gluon distribution function in a proton obtained recently using the Kimber-Martin-Ryskin prescription from the Bessel-inspired…

High Energy Physics - Phenomenology · Physics 2021-10-04 A. V. Kotikov , A. V. Lipatov , P. Zhang

This paper is devoted to the study of generalised time-fractional evolution equations involving Caputo type derivatives. Using analytical methods and probabilistic arguments we obtain well-posedness results and stochastic representations…

Analysis of PDEs · Mathematics 2022-05-03 M. E. Hernández-Hernández , V. N. Kolokoltsov , L. Toniazzi

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
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