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We analytically solve the full next-to-leading logarithmic Balitsky-Kovchegov equation in the saturation regime, which includes corrections from quark and gluon loops, and large double transverse logarithms. The analytic result for the…

High Energy Physics - Phenomenology · Physics 2017-06-28 Wenchang Xiang , Shaohong Cai , Daicui Zhou

We show that the Balitsky-JIMWLK equations proposed to describe non-linear evolution in QCD at high energy fail to include the effects of fluctuations in the gluon number, and thus to correctly describe both the low density regime and the…

High Energy Physics - Phenomenology · Physics 2011-01-25 E. Iancu , D. N. Triantafyllopoulos

We study the impact of the QCD DGLAP evolution on the geometric scaling of the gluon distributions which is expected to hold at small x within the saturation models. To this aim we solve the DGLAP evolution equations with the initial…

High Energy Physics - Phenomenology · Physics 2014-11-17 J. Kwiecinski , A. M. Stasto

We consider the perturbative description of saturation based on the nonlinear QCD evolution equation of Balitsky and Kovchegov (BK). Although the nonlinear corrections lead to saturation of the scattering amplitude locally in impact…

High Energy Physics - Phenomenology · Physics 2009-11-07 Alexander Kovner , Urs Achim Wiedemann

Gluon distributions of colliding hadrons saturate as a result of the non-linear evolution equations of QCD. As a consequence there exists the so called saturation momentum, which is related to the gluon density per unit rapidity per…

High Energy Physics - Phenomenology · Physics 2016-05-20 Michal Praszalowicz

We discuss the distinct approaches for high density QCD (hdQCD) in the asymptotic regime of large values of parton density. We derive the AGL equation for running coupling constant and obtain the asymptotic solution, demonstrating that the…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. B. Gay Ducati , V. P. Gonçalves

The non-linear evolution of dense partonic systems has been suggested as one of the novel physics mechanisms relevant to the dynamics of hadron-nucleus and nucleus-nucleus collisions at collider energies. Here we study to what extent the…

High Energy Physics - Phenomenology · Physics 2009-11-10 Javier L. Albacete , Nestor Armesto , Alex Kovner , Carlos A. Salgado , Urs Achim Wiedemann

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

We study how much gluon shadowing can be perturbatively generated through the modified QCD evolution in heavy nuclei. The evolution of small-$x$ gluons is investigated within the semiclassical approximation. The method of characteristics is…

Nuclear Theory · Physics 2010-11-01 K. J. Eskola , Jianwei Qiu , Xin-Nian Wang

A new approach to global QCD analysis is developed. The main ingredients are two QCD-based evolution equations. The first one is the Balitsky-Kovchegov nonlinear equation, which sums higher twists while preserving unitarity. The second…

High Energy Physics - Phenomenology · Physics 2014-11-17 E. Gotsman , E. Levin , M. Lublinsky , U. Maor

An analytical study with respect to the nonlinear corrections for the nuclear gluon distribution function in the next-to-leading order approximation at small $x$ is presented. We consider the nonlinear corrections to the nuclear gluon…

High Energy Physics - Phenomenology · Physics 2024-02-08 G. R. Boroun , B. Rezaei , F. Abdi

In order to get an estimate of the homogeneity of the distribution of matter in a fast hadron or nucleus, we compute the correlations of the saturation scales Q_s between different points in impact-parameter space, in some specific…

High Energy Physics - Phenomenology · Physics 2010-05-19 A. H. Mueller , S. Munier

We perform a global fit to the structure function F_2 measured in lepton-proton experiments at small values of Bjorken-x, x\le 0.01, for all experimentally available values of Q^2, 0.045 GeV^2\le Q^2 \le 800 GeV^2. We show that the recent…

High Energy Physics - Phenomenology · Physics 2009-09-01 J. L. Albacete , N. Armesto , J. G. Milhano , C. A. Salgado

We present the numerical solution of the non-linear evolution equation for DIS on nuclei for $x = 10^{-2} \div 10^{-7}$. We demonstrate that the solution to the non-linear evolution equation is quite different from the Glauber - Mueller…

High Energy Physics - Phenomenology · Physics 2014-11-17 E. Levin , M. Lublinsky

In a previous publication, we have constructed a set of non-linear evolution equations for dipole scattering amplitudes in QCD at high energy, which extends the Balitsky-JIMWLK hierarchy by including the effects of fluctuations in the gluon…

High Energy Physics - Phenomenology · Physics 2011-01-25 E. Iancu , D. N. Triantafyllopoulos

In this paper the semi-classical approach to the solution of non-linear evolution equation is developed. We found the solution in the entire kinematic region to the non-linear evolution equation that governs the dynamics in the high parton…

High Energy Physics - Phenomenology · Physics 2008-12-22 S. Bondarenko , M. Kozlov , E. Levin

A new approach to high energy evolution based on a linear equation for QCD generating functional is developed. This approach opens a possibility for systematic study of correlations inside targets, and, in particular, inside realistic…

High Energy Physics - Phenomenology · Physics 2010-11-30 E. Levin , M. Lublinsky

A numerical solution is presented for the non-linear evolution equation that governs the dynamics of high parton density QCD. It is shown that thesolution falls off as $e^{-b/R}$ at large values of the impact parameter $b$. The power-like…

High Energy Physics - Phenomenology · Physics 2009-11-10 E. ~Gotsman , M. ~Kozlov , E. ~Levin , U. Maor , E. ~Naftali

Transverse momentum integrated multiplicities in the central region of pp collisions at LHC energies satisfy Koba-Nielsen-Olesen scaling. We attempt to relate this finding to multiplicity distributions of soft gluons. KNO scaling emerges if…

High Energy Physics - Phenomenology · Physics 2012-09-20 Adrian Dumitru , Elena Petreska

I give a physical discussion of the influence of particle number fluctuations on the high energy evolution in QCD. I emphasize the event-by-event description and the correspondence with the problem of `fluctuating pulled fronts' in…

High Energy Physics - Phenomenology · Physics 2009-11-11 Edmond Iancu