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It has been proposed that the energy evolution of QCD amplitudes in the high-energy regime falls in the universality class of reaction-diffusion processes. We review the arguments for this correspondence, and we explain how it enables one…

High Energy Physics - Phenomenology · Physics 2007-09-07 S. Munier

Perturbative solutions for unpolarized QED parton distribution and fragmentation functions are presented explicitly in the next-to-leading logarithmic approximation. The scheme of iterative solution of QED evolution equations is described…

High Energy Physics - Phenomenology · Physics 2023-09-06 A. B. Arbuzov , U. E. Voznaya

We present an analytical solution for the evolution of parton distributions incorporating mixed-order QCD $\otimes$ QED corrections, addressing both polarized and unpolarized cases. Using the Altarelli-Parisi kernels extended to mixed…

High Energy Physics - Phenomenology · Physics 2026-02-16 Daniel de Florian , Lucas Palma Conte

We consider deeply inelastic scattering at very high energies in the saturation regime. The emerging picture corresponds to the propagation of a dipole, the quark-antiquark pair, in a shock wave color field of the target. We use the…

High Energy Physics - Phenomenology · Physics 2014-11-17 I. I. Balitsky , A. V. Belitsky

The problem of the one dimensional electro-diffusion of ions in a strong binary electrolyte is considered. In such a system the solute dissociates completely into two species of ions with unlike charges. The mathematical description…

Chemical Physics · Physics 2012-03-28 Sandip Ghosal , Zhen Chen

We review the status of QCD at hadron colliders with emphasis on precision predictions and the latest theoretical developments for cross sections calculations to higher orders. We include an overview of our current information on parton…

High Energy Physics - Phenomenology · Physics 2008-11-26 S. Moch

This thesis discusses the phenomenological parton recombination approach to describe hadronization in heavy ion collisions. The very good agreement to RHIC data for the flow coefficients v_2 and v_4 is shown and extrapolations are used to…

Nuclear Theory · Physics 2009-01-26 Daniel Krieg

We determine the time evolution of the colour screening mass in high energy nuclear collisions, as provided by the parton cascade model. Using our result, we discuss the onset of deconfinement and the onset of quarkonium suppression in a…

High Energy Physics - Phenomenology · Physics 2016-08-15 Helmut Satz , Dinesh Kumar Srivastava

The non-linear evolution of dense partonic systems has been suggested as one of the novel physics mechanisms relevant to the dynamics of hadron-nucleus and nucleus-nucleus collisions at collider energies. Here we study to what extent the…

High Energy Physics - Phenomenology · Physics 2009-11-10 Javier L. Albacete , Nestor Armesto , Alex Kovner , Carlos A. Salgado , Urs Achim Wiedemann

We discuss QCD evolution equations for two and three particle correlation functions of quarks and gluon fields in a hadron which describe development of the momentum distribution of a parton system with a change of the wave length of a…

High Energy Physics - Phenomenology · Physics 2017-08-23 A. V. Belitsky

When computed to next-to-leading order in perturbative QCD, the non-linear Balitsky-Kovchegov (BK) equation for the high-energy evolution of the dipole-hadron scattering appears to be unstable. We show that this instability can be avoided…

High Energy Physics - Phenomenology · Physics 2021-02-03 B. Ducloué , E. Iancu , A. H. Mueller , G. Soyez , D. N. Triantafyllopoulos

Multiple interactions of quarks and gluons in high-energy heavy-ion collisions may give rise to interesting phemomena of color charges propagating in high-density QCD matter. We study the dynamics of multi-parton systems produced in…

Nuclear Theory · Physics 2009-10-31 Dinesh K. Srivastava , Klaus Geiger

A pQCD-based model for parton production and equilibration in ultrarelativistic heavy-ion collisions is reviewed. The model combines pQCD processes including initial and final state radiations together with string phenomenology for…

High Energy Physics - Phenomenology · Physics 2015-06-25 Xin-Nian Wang

A nonlinear inequality is formulated in the paper. An estimate of the rate of growth/decay of solutions to this inequality is obtained. This inequality is of interest in a study of dynamical systems and nonlinear evolution equations. It can…

Classical Analysis and ODEs · Mathematics 2010-01-29 N. S. Hoang , A. G. Ramm

In the QCD the small~$x$ evolution of the interacting pomerons and odderons is studied with all angular momenta $l$ taken into account. The resulting system of coupled nonlinear evolution equations is formulated in the momentum space and…

High Energy Physics - Phenomenology · Physics 2020-05-25 M. A. Braun

In this lecture we review recent progress in various aspects of non-equilibrium QFT with respect to relativistic heavy ion collisions. As a first and rather general study we summarize our (numerical) investigations for a dissipative quantum…

High Energy Physics - Phenomenology · Physics 2007-05-23 C. Greiner , S. Juchem , Z. Xu

The Fortran package QCD-PEGASUS is presented. This program provides fast, flexible and accurate solutions of the evolution equations for unpolarized and polarized parton distributions of hadrons in perturbative QCD. The evolution is…

High Energy Physics - Phenomenology · Physics 2014-11-17 A. Vogt

Parton cascade models have been surprisingly successful in describing heavy-ion reactions at RHIC energies -- surprising because in spite of their QCD bells and whistles, they essentially embody classical many-particle dynamics. The…

High Energy Physics - Phenomenology · Physics 2007-05-23 Cornelius C. Noack

Perturbative QCD-based models of parton production and equilibration in ultrarelativistic heavy ion collisions are reviewed with an emphasis on the treatment of quantum interference effects. Uncertainties in the initial parton production…

High Energy Physics - Phenomenology · Physics 2014-11-17 Xin-Nian Wang

It is useful to describe a leading order parton shower as the solution of a linear equation that specifies how the state of the partons evolves. This description involves an essential approximation of a strong ordering of virtualities as…

High Energy Physics - Phenomenology · Physics 2008-05-29 Zoltan Nagy , Davison E. Soper