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We report that the saturation/CGC model of gluon distribution is unstable under action of the chaotic solution in a nonlinear QCD evolution equation, and it evolves to the distribution with a sharp peak at the critical momentum. We find…

High Energy Physics - Phenomenology · Physics 2017-03-08 Wei Zhu , Jiangshan Lan

It is shown in this paper that the QCD equations for dipole density have the natural solution: the 'fan' diagrams of the Pomeron calculus. We found the dipole densities comparing the analytic solution to the Balitsky-Kovchegov (BK) equation…

High Energy Physics - Phenomenology · Physics 2026-02-04 Eugene Levin

We show how it is possible to rewrite the BFKL equation for the unintegrated gluon distribution, in terms of integrated gluons, similar to that used in DGLAP. We add to our equation the next-to-leading log terms which provide exact…

High Energy Physics - Phenomenology · Physics 2015-06-19 E. G. de Oliveira , A. D. Martin , M. G. Ryskin

Important corrections to BFKL evolution are obtained from non-leading contributions and from non-linear effects due to unitarisation or saturation. It has been difficult to estimate the relative importance of these effects, as NLO effects…

High Energy Physics - Phenomenology · Physics 2009-11-11 Emil Avsar , Gosta Gustafson , Leif Lonnblad

I present a simplified model for the gluon Green's function governing high-energy QCD dynamics, in arbitrary space-time dimensions. The BFKL integral equation (either with or without running coupling) reduces to a second order differential…

High Energy Physics - Phenomenology · Physics 2009-02-18 Dimitri Colferai

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 propose a new unified evolution equation for parton distribution functions appropriate for both large and small Bjorken variables $x$, which is an improved version of the Ciafaloni-Catani-Fiorani-Marchesini equation. In this new equation…

High Energy Physics - Phenomenology · Physics 2014-11-17 Jyh-Liong Lim , Hsiang-nan Li

The AGL equation includes all multiple pomeron exchanges in the double logarithmic approximation (DLA) limit, leading to an unitarized gluon distribution in the small $x$ regime. This equation was originally obtained using the…

High Energy Physics - Phenomenology · Physics 2009-10-31 M. B. Gay Ducati , V. P. Gonçalves

We introduce a nonperturbative interaction for light-cone fluctuations containing quarks and gluons. The $\bar qq$ interaction squeezes the transverse size of these fluctuations in the photon and one does not need to simulate this effect…

High Energy Physics - Phenomenology · Physics 2011-05-05 B. Z. Kopeliovich , A. Schaefer , A. V. Tarasov

The AGL equation includes all multiple pomeron exchanges in the double logarithmic approximation (DLA) limit, leading to an unitarized gluon distribution in the small x regime. This equation was originally obtained using the Glauber-Mueller…

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

Resummations of soft gluon emissions play an important role in many applications of QCD, among them jet observables and small x saturation effects. Banfi, Marchesini, and Smye have derived an evolution equation for non-global jet…

High Energy Physics - Phenomenology · Physics 2009-11-10 Heribert Weigert

We introduce a Wilson line distribution function bar{W}_tau(v) to study gluon saturation at small Feynman x_F, or large tau=ln(1/x_F). This new distribution can be obtained from the distribution W_tau(alpha) of the Color Glass Condensate…

High Energy Physics - Phenomenology · Physics 2009-11-07 C. S. Lam , Gregory Mahlon , Wei Zhu

Although at small Bjorken x gluons originated from different nucleons in a nucleus overlap in the longitudinal direction, most of them are still well separated in the transverse plane, therefore cannot fuse. For this reason the gluon…

High Energy Physics - Phenomenology · Physics 2010-02-15 B. Z. Kopeliovich , E. Levin , I. K. Potashnikova , Ivan Schmidt

Kwiecinski, Martin, Stasto [13] argue for inclusion of DGLAP terms into BFKL evolution of unintegrated gluon density. The equation was reformulated by Oliveira, Martin, Ryskin [6] employing the opening angle {\theta} = k/xp as the evolution…

High Energy Physics - Phenomenology · Physics 2015-03-11 Dawid Toton

It is usually assumed -- following the parton model -- that the leading-twist structure functions measured in deep inelastic lepton-proton scattering are simply the probability distributions for finding quarks and gluons in the target…

High Energy Physics - Phenomenology · Physics 2009-09-11 S. J. Brodsky

The Abelian decomposition of QCD reveals two types of gluons: color-neutral ``neurons" and color-carrying ``chromons". This classification does not alter the overall properties of QCD, but the investigation of different types of gluon…

High Energy Physics - Phenomenology · Physics 2024-01-23 Yirui Yang , Wei Kou , Xiaopeng Wang , Yanbing Cai , Xurong Chen

We study the phase space distributions of gluons inside a nucleon/nucleus in the small-$x$ regime including the gluon saturation effect. This can be done by using the relation between the gluon Wigner distribution and the dipole S-matrix at…

High Energy Physics - Phenomenology · Physics 2016-12-07 Yoshikazu Hagiwara , Yoshitaka Hatta , Takahiro Ueda

Semi-inclusive hadron-production processes are becoming important in high-energy hadron reactions. They are used for investigating properties of quark-hadron matters in heavy-ion collisions, for finding the origin of nucleon spin in…

High Energy Physics - Phenomenology · Physics 2015-05-28 M. Hirai , S. Kumano

A systematic expansion in opacity, $L/\lambda$, is used to clarify the non-linear behavior of induced gluon radiation in quark-gluon plasmas. The inclusive differential gluon distribution is calculated up to second order in opacity and…

Nuclear Theory · Physics 2016-09-08 M. Gyulassy , P. Levai , I. Vitev

In this paper we present solutions of evolution equations for inclusive distribution of gluons as produced by jet traversing quark-gluon plasma. We reformulate the original equations in such a form that the virtual and unresolved-real…

High Energy Physics - Phenomenology · Physics 2019-05-01 K. Kutak , W. Placzek , R. Straka