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Related papers: The Balitsky-Kovchegov equation for dipole gluon d…

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We analyse the momentum space triple Pomeron vertex in perturbative QCD. In addition to the standard form of this vertex which is used in the context of total cross-sections at high energies and in the QCD reggeon field theory, there exists…

High Energy Physics - Phenomenology · Physics 2011-09-13 J. Bartels , M. Braun , G. P. Vacca

In the present work we explore for the first time the general structure and properties of the nonperturbative quark-gluon vertex in the complex plane. Specifically, we focus on the transversely-projected quark-gluon vertex that emerges from…

High Energy Physics - Phenomenology · Physics 2026-05-08 M. N. Ferreira , A. S. Miramontes , J. M. Morgado , J. Papavassiliou

Equation for the sum of BFKL pomeron fan diagrams is rederived by direct summation and solved numerically for rapidities $y\leq 50$. At high rapidities y>20 the resulting cross-sections for the scattering of a longitudinally polarized…

High Energy Physics - Phenomenology · Physics 2011-09-13 M. A. Braun

The $k_{\perp}$ dependent gluon distribution is calculated accounting for the resummation of small~$x$ effects due to the Lipatov equation. It is represented by a convolution of a gluon density in the collinear limit and a universal…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. Blümlein

Three-nucleon scattering equations with irreducible three-nucleon force are solved in momentum-space. The Coulomb interaction between the two protons is included using the method of screening and renormalization. The need for the…

Nuclear Theory · Physics 2010-05-07 A. Deltuva

It is proposed to consider the fast thermalization of gluons in relativistic heavy-ion collisions as a diffusion process in momentum space. Closed-form analytical solutions of a nonlinear boson diffusion equation (NBDE) with constant drift…

High Energy Physics - Phenomenology · Physics 2022-04-08 Georg Wolschin

The $k_{\perp}$ dependent gluon distribution for protons, pions,and photons is calculated accounting for the resummation of small~$x$ effects due to the Lipatov equation. It is represented by a convolution of a gluon density in the…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. Blümlein

A leading order determination of the gluon density in the proton has been performed in the fractional momentum range $1.9 \cdot 10^{-3} < x_{g/p} < 0.18$ by measuring multi-jet events from boson-gluon fusion in deep-inelastic scattering…

High Energy Physics - Experiment · Physics 2012-08-27 H1 Collaboration

In the high-energy limit of QCD, scattering off nucleons and nuclei can be described in terms of Wilson-line correlators whose energy dependence is perturbative. The energy dependence of the two-point correlator, called the dipole…

High Energy Physics - Phenomenology · Physics 2026-03-13 Meisen Gao , Zhong-Bo Kang , Jani Penttala , Ding Yu Shao

In this work we present dipole scattering amplitudes, including the dependence on the impact-parameter, for a variety of nuclear targets of interest for the electron-ion colliders (EICs) being currently designed. These amplitudes are…

High Energy Physics - Phenomenology · Physics 2020-10-21 J. Cepila , J. G. Contreras , M. Matas

The next-to-leading order (NLO) Balitsky-Kovchegov (BK) equation describing the high-energy evolution of the scattering between a dilute projectile and a dense target suffers from instabilities unless it is supplemented by a proper…

High Energy Physics - Phenomenology · Physics 2019-05-01 B. Ducloué , E. Iancu , A. H. Mueller , G. Soyez , D. N. Triantafyllopoulos

We present the general derivation of the full nonperturbative equation that governs the momentum evolution of the dynamically generated gluon mass, in the Landau gauge. The gluon mass originates from the inclusion of longitudinally coupled…

High Energy Physics - Phenomenology · Physics 2013-01-18 Joannis Papavassiliou , David Ibanez

Phenomenological models of the dipole cross section that enters in the description of for instance deep inelastic scattering at very high energies have had considerable success in describing the available small-x data in both the saturation…

High Energy Physics - Phenomenology · Physics 2008-11-26 Daniel Boer , Andre Utermann , Erik Wessels

We study inclusive and diffractive dijet production in electron-proton and electron-nucleus collisions within the Color Glass Condensate effective field theory. We compute dijet cross sections differentially in both mean dijet transverse…

Nuclear Theory · Physics 2020-08-11 Heikki Mäntysaari , Niklas Mueller , Farid Salazar , Björn Schenke

The forward scattering amplitude of a small dipole at high energies is given in the mean field approximation by the Balitsky-Kovchegov (BK) evolution equation. It requires an initial condition $N(r; x_0)$ describing the scattering of a…

High Energy Physics - Phenomenology · Physics 2023-06-27 Adrian Dumitru , Heikki Mäntysaari , Risto Paatelainen

An analysis of twist composition of Balitsky-Kovchegov (BK) amplitude is performed in the double logarithmic limit. In this limit the BK evolution of color dipole -- proton scattering is equivalent to BFKL evolution which follows from…

High Energy Physics - Phenomenology · Physics 2015-06-23 Leszek Motyka , Mariusz Sadzikowski

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

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 present an extension to the Poisson-Boltzmann model where the dipolar features of solvent molecules are taken explicitly into account. The formulation is derived at mean-field level and can be extended to any order in a systematic…

Soft Condensed Matter · Physics 2012-01-31 Ariel Abrashkin , David Andelman , Henri Orland

Effects of non-linear small-x evolution of the gluon distribution given by the Balitsky-Kovchegov equation are analyzed within the collinear approximation framework. We perform a twist decomposition of the proton structure functions F2 and…

High Energy Physics - Phenomenology · Physics 2023-12-08 Leszek Motyka , Mariusz Sadzikowski