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Related papers: BFKL and CCFM evolutions with saturation boundary

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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

The dependence of the subprocess cross section for dijet production at fixed transverse momentum on the (large) rapidity separation Delta y of the dijets can be used to test for `BFKL physics', i.e. the presence of higher--order (alphas…

High Energy Physics - Phenomenology · Physics 2009-10-31 Lynne H. Orr , W. J. Stirling

High-fidelity Monte Carlo simulations and complex inverse problems, such as mapping smeared experimental observations to ground-truth states, are computationally intensive yet essential for robust data analysis. Conditional Flow Matching…

Machine Learning · Computer Science 2026-04-03 Zeyu Xia , Tyler Kim , Trevor Reed , Judy Fox , Geoffrey Fox , Adam Szczepaniak

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…

High Energy Physics - Phenomenology · Physics 2015-06-23 Yuri V. Kovchegov

Contributions from gluon interactions, which are non-leading in high-energy semi-hard processes, are studied and represented in terms of reggeon exchanges. Unlike the leading gluonic reggeon, related to the BFKL pomeron, the non-leading…

High Energy Physics - Phenomenology · Physics 2008-11-26 R. Kirschner , L. Szymanowski

We study the role of the non-perturbative input to the transverse momentum dependent (TMD) gluon density in hard processes at the LHC. We derive the input TMD gluon distribution at low scale mu0^2 ~ 1 GeV^2 from the fit of the inclusive…

High Energy Physics - Phenomenology · Physics 2016-02-03 A. A. Grinyuk , A. V. Lipatov , G. I. Lykasov , N. P. Zotov

We propose an evolution equation for unintegrated gluon densities that is valid for large values of the QCD coupling constant $\bar{\alpha} _s$. Our approach is based on the linear resummation model introduced by Sta\'{s}to. We generalize…

High Energy Physics - Phenomenology · Physics 2014-02-04 Krzysztof Kutak , Piotr Surówka

In this paper we consider Cronin momentum behaviour for $p+A$, $d+A$ and $A+A$ collisions in saturation model. Our analysis shows that Cronin momentum behavior at different rapidities and energies, can be related with scaling law using…

Nuclear Theory · Physics 2007-05-23 V. A. Abramovsky , N. V. Prikhod'ko

The gluon and quark production in the quasi-multi-Regge kinematics is considered. The differential cross section for different helicity states is calculated. The dimensional regularization is used to remove the infrared divergencies in the…

High Energy Physics - Phenomenology · Physics 2009-10-28 V. S. Fadin , L. N. Lipatov

The kernel of the BFKL equation for non-zero momentum transfer is found at next-to-leading order. It is presented in various forms depending on the regularization of the infrared singularities in "virtual" and "real" parts of the kernel.…

High Energy Physics - Phenomenology · Physics 2010-11-05 V. S. Fadin , R. Fiore

Deep generative models have recently been applied to physical systems governed by partial differential equations (PDEs), offering scalable simulation and uncertainty-aware inference. However, enforcing physical constraints, such as…

Machine Learning · Computer Science 2025-11-27 Utkarsh Utkarsh , Pengfei Cai , Alan Edelman , Rafael Gomez-Bombarelli , Christopher Vincent Rackauckas

We study, to all orders in perturbative QCD, the universal behavior of the saturation momentum $Q_s(L)$ controlling the transverse momentum distribution of a fast parton propagating through a dense QCD medium with large size $L$. Due to the…

High Energy Physics - Phenomenology · Physics 2023-07-26 Paul Caucal , Yacine Mehtar-Tani

The flow matching has rapidly become a dominant paradigm in classical generative modeling, offering an efficient way to interpolate between two complex distributions. We extend this idea to the quantum realm and introduce the Quantum Flow…

Quantum Physics · Physics 2026-02-03 Zidong Cui , Pan Zhang , Ying Tang

In this paper we continue to pursue a goal of finding an effective theory for high energy interaction in QCD based on the colour dipole approach, for which the BFKL Pomeron Calculus gives a low energy limit. The key problem, that we try to…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. Kozlov , E. Levin , A. Prygarin

We propose the eikonal approximation as a simple and reliable tool to analyze relativistic high-energy processes, provided that the necessary subtleties are accounted for. An important subtlety is the need to include eikonal phases for a…

High Energy Physics - Theory · Physics 2015-05-20 Simon Caron-Huot

By making use of the hybrid collinear and high-energy factorization, where the BFKL resummation of leading and next-to-leading energy logarithms is combined with the standard description in terms of collinear parton densities, we compare…

High Energy Physics - Phenomenology · Physics 2022-12-07 Francesco Giovanni Celiberto , Alessandro Papa

We investigate the structure of charmonium, bottomonium, and $\rm B_c$ meson systems within the Basis Light-Front Quantization (BLFQ) approach, including both the quark-antiquark ($|q\bar{q}\rangle$) and quark-antiquark-gluon…

High Energy Physics - Phenomenology · Physics 2026-03-10 Jiatong Wu , Hengfei Zhao , Kaiyu Fu , Zhi Hu , Xingbo Zhao , James P. Vary

The nonlinear boson diffusion equation is taken as a basis to account for the fast thermalization of gluons in the initial stages of relativistic heavy-ion collisions. For constant drift and diffusion coefficients with schematic initial…

High Energy Physics - Phenomenology · Physics 2025-11-25 J. Rössler , G. Wolschin

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 calculate running coupling corrections for the lowest-order gluon production cross section in high energy hadronic and nuclear scattering using the BLM scale-setting prescription. In the final answer for the cross section the three…

High Energy Physics - Phenomenology · Physics 2011-01-17 W. A. Horowitz , Yuri V. Kovchegov