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Misprints and numerical coefficients corrected, a bit of phenomenology and one figure added. The case for the linear evolution of the unitarized structure functions made stronger.

High Energy Physics - Phenomenology · Physics 2014-11-17 N. N. Nikolaev , B. G. Zakharov

In QCD hard scattering cross sections, the color content of the underlying hard scattering evolves with a factorization scale. This evolution is controlled by an anomalous dimension matrix, specific to each hard-scattering reaction.…

High Energy Physics - Phenomenology · Physics 2014-11-17 Nikolaos Kidonakis , Gianluca Oderda , George Sterman

Evolution equations for multiplicities in QCD cascades can, both in the parton and dipole picture, be used to estimate corrections beyond the formal accuracy of the modified leading log approximation (MLLA). The differences between the two…

High Energy Physics - Phenomenology · Physics 2016-09-06 Patrik Eden

A crossover involving three-fermion clusters is relevant to the hadron-quark crossover, which, if occurring in a neutron star, could naturally reproduce the dense-matter equation of state recently deduced from simultaneous observations of…

High Energy Physics - Phenomenology · Physics 2025-07-28 Hiroyuki Tajima , Kei Iida , Toru Kojo , Haozhao Liang

We study parton-branching solutions of QCD evolution equations and present a method to construct both collinear and transverse momentum dependent (TMD) parton densities from this approach. We work with next-to-leading-order (NLO) accuracy…

High Energy Physics - Phenomenology · Physics 2018-02-14 F. Hautmann , H. Jung , A. Lelek , V. Radescu , R. Zlebcik

We explore the properties of the QCD high energy evolution in the limit of a dilute target. Using the recently established property of selfduality of the evolution operator (hep-ph/0502119), we show how to properly define the target gluon…

High Energy Physics - Phenomenology · Physics 2009-11-11 Alex Kovner , Michael Lublinsky

Considering the Balitsky-Kovchegov QCD evolution equation in full momentum space, we derive the travelling wave solutions expressing the nonlinear saturation constraints on the dipole scattering amplitude at non-zero momentum transfer. A…

High Energy Physics - Phenomenology · Physics 2007-06-12 Robi Peschanski , Cyrille Marquet , Gregory Soyez

The Balitsky-Kovchegov equation describes the high-energy growth of gauge theory scattering amplitudes as well as nonlinear saturation effects which stop it. We obtain the three-loop corrections to this equation in planar $\mathcal{N}=4$…

High Energy Physics - Phenomenology · Physics 2018-03-06 Simon Caron-Huot , Matti Herranen

Evolution of spatially anisotropic perturbation created in the system formed after Relativistic Heavy Ion Collisions has been studied. The microscopic evolution of the fluctuations has been examined within the ambit of Boltzmann Transport…

Nuclear Theory · Physics 2018-03-19 Golam Sarwar , Jan-e Alam

We compute the next-to-next-to-leading order (NNLO) contributions to the three splitting functions governing the evolution of unpolarized non-singlet combinations of quark densities in perturbative QCD. Our results agree with all partial…

High Energy Physics - Phenomenology · Physics 2008-11-26 S. Moch , J. A. M. Vermaseren , A. Vogt

We indicate that the random aperiodic oscillation of the gluon distributions in a modified Balisky--Fadin--Kuraev--Lipatov (BFKL) equation has positive Lyapunov exponents. This first example of chaos in QCD evolution equations, raises the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Wei Zhu , Zhenqi Shen , Jianhong Ruan

We determined the effects of the first nonlinear corrections to the gluon distribution using the solution of the QCD nonlinear Dokshitzer-Gribov-Lipatov-Altarelli-Parisi (NLDGLAP) evolution equation at small x. By using a Laplace-transform…

High Energy Physics - Phenomenology · Physics 2014-02-05 G. R. Boroun , S. Zarrin

We discuss the significance of the next-to-leading order term in the BFKL equation on the energy dependence of diffractive processes controlled by the perturbative QCD pomeron. It is shown that whereas the large negative corrections do…

High Energy Physics - Phenomenology · Physics 2008-11-26 D. A. Ross

Within the framework of a (1+1)--dimensional model which mimics high energy QCD, we study the behavior of the cross sections for inclusive and diffractive deep inelastic $\gamma^*h$ scattering cross sections. We analyze the cases of both…

High Energy Physics - Phenomenology · Physics 2012-09-28 M. B. Gay Ducati , E. G. de Oliveira , J. T. de Santana Amaral

Mueller's dipole formulation of onium-onium scattering is used to study unitarity corrections to the BFKL power growth at high energies. After a short discussion of the spatial distribution of colour dipoles in a heavy quarkonium and the…

High Energy Physics - Phenomenology · Physics 2009-10-28 G. P. Salam

We present nonlinear (NL) and higher twist (HT) corrections to the color dipole model (CDM) bounds at low values of $x$ and $Q^{2}$ using the parameterization method. Consistency between the bounds at this region describe that a transition…

High Energy Physics - Phenomenology · Physics 2021-10-12 G. R. Boroun , B. Rezaei

We consider high energy scattering in the effective theory of the Color Glass Condensate. The most convenient degrees of freedom are Wilson lines encoding multiple gluon exchanges, whose evolution with energy follows the JIMWLK equation.…

High Energy Physics - Phenomenology · Physics 2026-04-30 T. Lappi , D. N. Triantafyllopoulos

Parity-odd four-point correlation functions, or trispectra, of cosmic matter density fields provide a unique probe of fundamental symmetries in cosmology. Trispectra of primordial matter density fluctuations produced in the early universe…

Cosmology and Nongalactic Astrophysics · Physics 2025-10-08 Sha Azyzy , Drew Jamieson , Eiichiro Komatsu , Toshiki Kurita

The initial-state radiation of soft colour dipoles produced together with a single QCD Pomeron exchange (BFKL) in onium-onium scattering is calculated in the framework of Mueller's approach. The resulting dipole production grows with…

High Energy Physics - Phenomenology · Physics 2016-09-01 A. Bialas , R. Peschanski

The parton distributions in the proton are evaluated dynamically using a nonlinear QCD evolution equation - the DGLAP equation with twist-4 (the GLR-MQ-ZSR) corrections - starting from a low scale $\mu^2$, where the nucleon consists of…

High Energy Physics - Phenomenology · Physics 2014-09-11 Xurong Chen , Jianhong Ruan , Rong Wang , Pengming Zhang , Wei Zhu