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In this paper we proposed a solution to the longstanding problem of the CGC/saturation approach: the power-like fall of the scattering amplitudes at large $b$. This decrease leads to the violation of the Froissart theorem and makes the…

High Energy Physics - Phenomenology · Physics 2015-06-23 Eugene Levin

{In this paper we propose a new impact-parameter dependent CGC/saturation model. We introduce two new features in the model that make it consistent with what we know theoretically about the deep inelastic scattering. They are: the use of…

High Energy Physics - Phenomenology · Physics 2016-02-17 Carlos Contreras , Eugene Levin , Irina Potashnikova

This paper is the first attempt to build CGC/saturation model based on the next-to-leading order corrections to linear and non-linear evolution in QCD. We assume that the renormalization scale is the saturation momentum and found that the…

High Energy Physics - Phenomenology · Physics 2016-12-28 Carlos Contreras , Eugene Levin , Rodrigo Meneses , Irina Potashnikova

In this paper we proceed to study the high energy behavior of a scattering amplitudes in the Yang-Mills theory with the Higgs mechanism for the gauge boson mass. The spectrum of the $j$-plane singularities of the $t$-channel partial waves,…

High Energy Physics - Phenomenology · Physics 2016-01-20 Eugene Levin , Lev Lipatov , M. Siddikov

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

In this paper, we show (i) that the NLO corrections do not change the power-like decrease of the scattering amplitude at large impact parameter ($b^2 \,>\,r^2 \exp\left( 2\bar(\alpha}_S \eta(1 + 4 \bar{\alpha}_S)\right)$, where $r$ denotes…

High Energy Physics - Phenomenology · Physics 2019-10-23 Carlos Contreras , Eugene Levin , Rodrigo Meneses

In this paper we derive the high energy evolution equation in the Gribov-Zwanziger approach, for the confinement of quarks and gluons. We demonstrate that the new equation generates an exponential decrease of the scattering amplitude at…

High Energy Physics - Phenomenology · Physics 2021-01-27 E. Gotsman , E. Levin

In this paper we confront the CGC/saturation approach of Ref.~\cite{CLMS} with the experimental combined HERA data and obtain its parameters. The model includes two features that are in accordance with our theoretical knowledge of deep…

High Energy Physics - Phenomenology · Physics 2024-12-12 Michael Roa , José Garrido , Miguel Guevara

In this paper we solved the new evolution equation for high energy scattering amplitudethat stems from the Gribov-Zwanziger approach to the confinement of quarks and gluons. We found that (1) the energy dependence of the scattering…

High Energy Physics - Phenomenology · Physics 2021-05-26 E. Gotsman , Yu. Ivanov , E. Levin

In the paper we discussed the evolution equations for diffractive production in the framework of CGC/saturation approach, and found the analytical solutions for several kinematic regions. The most impressive features of these solutions are,…

High Energy Physics - Phenomenology · Physics 2018-07-04 Carlos Contreras , Eugene Levin , Rodrigo Meneses , Irina Potashnikova

In this talk, we present the CGC/saturation approach of Ref.[C.~Contreras, E.~Levin, R.~Meneses and M.~Sanhueza,Eur. Phys. J. C 80 (2020) no.11, 1029] and its parameters determined from the combined HERA data. This model features an…

High Energy Physics - Phenomenology · Physics 2024-12-23 José Garrido , Michael Roa , Miguel Guevara

We numerically analyze the Balitsky-Kovchegov equation with the full dependence on impact parameter b. We show that due to a particular b-dependence of the initial condition the amplitude decreases for large dipole sizes r. Thus the region…

High Energy Physics - Phenomenology · Physics 2008-11-26 K. Golec--Biernat , A. M. Stasto

We solve the CCFM equation numerically in the presence of a boundary condition which effectively incorporates the non-linear dynamics. We retain the full dependence of the unintegrated gluon distribution on the coherence scale, and extract…

High Energy Physics - Phenomenology · Physics 2014-11-21 Emil Avsar , Anna M. Stasto

In this paper we continue the development of a model for strong interactions at high energy, based on two ingredients: CGC/saturation approach and the BFKL Pomeron. In our approach, the unknown mechanism of confinement of quarks and gluons,…

High Energy Physics - Phenomenology · Physics 2015-05-20 E. Gotsman , E. Levin , U. Maor

In this paper we consider the influence of non-perturbative corrections on the large $ b $ (impact parameter) behavior of the BFKL amplitude. This is done in the framework of a model where such ``soft'' corrections are taken into account in…

High Energy Physics - Phenomenology · Physics 2009-11-10 Sergey Bondarenko

In this paper $\gamma^* - \gamma^*$ scattering with large, but more or less equal virtualities of two photons is discussed using BFKL dynamics, emphasizing the large impact parameter behavior ($b_t$) of the dipole-dipole amplitude. It is…

High Energy Physics - Phenomenology · Physics 2008-11-26 S. Bondarenko , M. Kozlov , E. Levin

We perform numerical studies of the BFKL and CCFM equations for the unintegrated gluon distribution supplemented with an absorptive boundary which mimics saturation. For the BFKL equation, this procedure yields the same results for the…

High Energy Physics - Phenomenology · Physics 2009-11-19 Emil Avsar , Edmond Iancu

In this paper we propose recurrence relations for the dipole densities in QCD, which allows us to find these densities from the solution to the BFKL equation. We resolve these relations in the diffusion approximation for the BFKL kernel.…

High Energy Physics - Phenomenology · Physics 2023-03-29 Eugene Levin

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…

High Energy Physics - Phenomenology · Physics 2012-04-13 Krzysztof Kutak , Krzysztof Golec-Biernat , Stanislaw Jadach , Maciej Skrzypek

We considerably extend our previous analysis of the implementation of an absorptive boundary condition, which mimics saturation effects, on the linear CCFM evolution. We present detailed results for the evolution of the unintegrated gluon…

High Energy Physics - Phenomenology · Physics 2009-11-16 Emil Avsar , Edmond Iancu
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