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The high-energy factorization and the associated B-JIMWLK or BK evolution equations are presented, using the example of DIS structure functions. The necessity of taking gluon saturation into account is discussed, and also the various…

高能物理 - 唯象学 · 物理学 2015-05-30 Guillaume Beuf

High-energy evolution equations, such as the BFKL, BK or JIMWLK equations, aim at resumming the high-energy (next-to-)leading logarithms appearing in QCD perturbative series. However, the standard derivations of those equations are…

高能物理 - 唯象学 · 物理学 2014-04-30 Guillaume Beuf

We investigate the effects of the saturation boundary on small-x evolution at the next-to-leading order accuracy and beyond. We demonstrate that the instabilities of the next-to-leading order BFKL evolution are not cured by the presence of…

高能物理 - 唯象学 · 物理学 2015-05-28 E. Avsar , A. M. Stasto , D. N. Triantafyllopoulos , D. Zaslavsky

We perform analysis of the small x non-linear evolution equation formulated in momentum space supplemented by higher order terms. The equation is defined in wide range of transverse momentum and longitudinal momentum fraction extending…

高能物理 - 唯象学 · 物理学 2025-06-03 Krzysztof Kutak , Wanchen Li , Anna Stasto , Robert Straka

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…

高能物理 - 唯象学 · 物理学 2015-06-19 E. G. de Oliveira , A. D. Martin , M. G. Ryskin

Progresses towards the calculation and the understanding of NLO/NLL contributions to Deep Inelastic Scattering at low x with gluon saturation are being reviewed.

高能物理 - 唯象学 · 物理学 2015-06-03 Guillaume Beuf

The higher-order perturbative corrections, beyond leading logarithmic accuracy, to the BFKL evolution in QCD at high energy are well known to suffer from a severe lack-of-convergence problem, due to radiative corrections enhanced by double…

高能物理 - 唯象学 · 物理学 2015-06-23 E. Iancu , J. D. Madrigal , A. H. Mueller , G. Soyez , D. N. Triantafyllopoulos

We propose a modified Balitskii-Fadin-Kuraev-Lipatov equation from the viewpoint of the resummation technique, which satisfies the unitarity bound. The idea is to relax the strong rapidity ordering and to restrict phase space for real gluon…

高能物理 - 唯象学 · 物理学 2009-10-30 Hsiang-nan Li

We investigate the impact of so called kinematic constraint on gluon evolution at small $x$. Implanting the constraint on the real emission term of gluon ladder diagram, we obtain an integro-differential form of BFKL equation. Later we…

高能物理 - 唯象学 · 物理学 2020-04-22 P. Phukan , M. Lalune , J. K. Sarma

The corrections of the gluon fusion to the BFKL equation in a unified partonic framework are studied. This modified BFKL equation predicts a stronger shadowing, which suppresses the gluon density and even leads to the gluon disappearance…

高能物理 - 唯象学 · 物理学 2016-03-10 Wei Zhu , Zhenqi Shen , Jianhong Ruan

Motivated by the regime of QCD explored nowadays at LHC, where both the total energy of collision and momenta transfers are high, we investigate evolution equations of high energy factorization. In order to study such effects like parton…

高能物理 - 唯象学 · 物理学 2012-04-13 Krzysztof Kutak , Krzysztof Golec-Biernat , Stanislaw Jadach , Maciej Skrzypek

We show that the evolution equations in QCD predict geometric scaling for quark and gluon distribution functions in a large kinematical window, which extends above the saturation scale up to momenta $Q^2$ of order $100 {\rm GeV}^2$. For…

高能物理 - 唯象学 · 物理学 2014-11-17 E. Iancu , K. Itakura , L. McLerran

Linear and non-linear QCD evolutions at high energy suffer from severe issues related to convergence, due to higher order corrections enhanced by large double and single transverse logarithms. We resum double logarithms to all orders by…

高能物理 - 唯象学 · 物理学 2015-09-29 E. Iancu , J. D. Madrigal , A. H. Mueller , G. Soyez , D. N. Triantafyllopoulos

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…

高能物理 - 唯象学 · 物理学 2016-05-20 Michal Praszalowicz

We show that the inclusion of parton density effects in the perturbative small-x evolution reduces the strength of the powerlike growth of total hadronic cross sections.

高能物理 - 唯象学 · 物理学 2009-11-07 Alexander Kovner , Urs Achim Wiedemann

The small-$x$ deep inelastic scattering in the saturation region is governed by the non-linear evolution of Wilson-line operators. In the leading logarithmic approximation it is given by the BK equation for the evolution of color dipoles.…

高能物理 - 唯象学 · 物理学 2008-11-26 Ian Balitsky , Giovanni A. Chirilli

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…

高能物理 - 唯象学 · 物理学 2009-11-11 Emil Avsar , Gosta Gustafson , Leif Lonnblad

Saturation of gluon distribution is a consequence of the non-linear evolution equations of QCD. Saturation implies the existence of so called saturation momentum which is defined as a gluon density per unit rapidity per transverse area. At…

高能物理 - 唯象学 · 物理学 2015-10-29 Michal Praszalowicz

The CCFM equation and its extended form with a quadratic term (KGBJS equation) are solved with fixed and running coupling constant. The solution of the KGBJS equation is compared to gluon densities resulting from the CCFM and BK equations.…

高能物理 - 唯象学 · 物理学 2013-11-13 Krzysztof Kutak , Dawid Toton

We present a short overview of saturation physics followed by a summary of the recent progress in our understanding of nonlinear small-$x$ evolution. Topics include McLerran-Venugopalan model, Glauber-Mueller approximation, nonlinear…

高能物理 - 唯象学 · 物理学 2015-06-23 Yuri V. Kovchegov
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