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We suggest a modified form of a unitarized BFKL equation imposing the so-called kinematic constraint on the gluon evolution in multi-Regge kinematics. The underlying nonlinear effects on the gluon evolution are investigated by solving the…

High Energy Physics - Phenomenology · Physics 2019-06-14 P. Phukan , M. Lalung , J. K. Sarma

Solutions of the target-rapidity Balitsky-Kovchegov (BK) equation are studied considering, for the first time, the complete impact-parameter dependence, including the orientation of the dipole with respect to the impact-parameter vector. In…

High Energy Physics - Phenomenology · Physics 2023-12-01 J. Cepila , J. G. Contreras , M. Vaculciak

We propose a phenomenological study of the Balitsky-Fadin-Kuraev-Lipatov (BFKL) approach applied to the data on the proton structure function F_2 measured at HERA in the small-x_{Bjorken} region. In a first part we use a simplified…

High Energy Physics - Phenomenology · Physics 2008-11-26 R. Peschanski , C. Royon , L. Schoeffel

We compute the gluon distribution in deep inelastic scattering at small x by solving numerically the angular ordering evolution equation. The leading order contribution, obtained by neglecting angular ordering, satisfies the BFKL equation.…

High Energy Physics - Phenomenology · Physics 2009-10-30 G. Bottazzi , G. Marchesini , G. P. Salam , M. Scorletti

I examine the solution of the BFKL equation with NLO corrections relevant for deep inelastic scattering. Particular emphasis is placed on the part played by the running of the coupling. It is shown that the solution factorizes into a part…

High Energy Physics - Phenomenology · Physics 2009-10-31 R. S. Thorne

We consider a system of evolution equations for quark and gluon structure functions satisfying the leading-logarithmic behaviour due to both QCD collinear $ \left(LLQ^2 \right) $ and infrared $ (LL1/x) $ singularities. We show that these…

High Energy Physics - Phenomenology · Physics 2008-11-26 R. Peschanski , S. Wallon

The ultrahigh energy neutrino-nucleon cross sections are computed taking into account different phenomenological implementations of the non-linear QCD dynamic s. Based on the color dipole framework, the results for the saturation model…

High Energy Physics - Phenomenology · Physics 2014-11-17 M. V. T. Machado

We develop a new method for proving hypocoercivity for a large class of linear kinetic equations with only one conservation law. Local mass conservation is assumed at the level of the collision kernel, while transport involves a confining…

Analysis of PDEs · Mathematics 2010-05-11 Jean Dolbeault , Clément Mouhot , Christian Schmeiser

In the paper we discuss possible approaches to the problem of the rigorous derivation of quantum kinetic equations from underlying many-particle dynamics. For the description of a many-particle evolution we construct solutions of the Cauchy…

Quantum Physics · Physics 2010-10-05 V. I. Gerasimenko

The inclusive production at the LHC of a charged light hadron and of a jet, featuring a wide separation in rapidity, is suggested as a new probe process for the investigation of the BFKL mechanism of resummation of energy logarithms in the…

High Energy Physics - Phenomenology · Physics 2020-08-05 Andrèe Dafne Bolognino , Francesco Giovanni Celiberto , Dmitry Yu. Ivanov , Mohammed M. A. Mohammed , Alessandro Papa

Recent investigations of electroweak radiative corrections have revealed the importance of higher order contributions in high energy processes, where the size of typical corrections can exceed those associated with QCD considerably. Beyond…

High Energy Physics - Phenomenology · Physics 2011-09-13 Michael Melles

A new approach to high energy evolution based on a linear equation for QCD generating functional is developed. This approach opens a possibility for systematic study of correlations inside targets, and, in particular, inside realistic…

High Energy Physics - Phenomenology · Physics 2010-11-30 E. Levin , M. Lublinsky

We study jet physics in the high energy regime of QCD. Based on the NLO BFKL equation, we construct a vertex for the production of a jet at central rapidity in k_T-factorization. A jet algorithm is introduced, and we take special care of…

High Energy Physics - Phenomenology · Physics 2007-05-23 Florian Schwennsen

The next-to-leading order (NLO) corrections to the BFKL equation in the BLM optimal scale setting are briefly discussed. A striking feature of the BLM approach is rather weak Q^2-dependence of the Pomeron intercept, which might indicate an…

High Energy Physics - Phenomenology · Physics 2016-11-23 Victor T. Kim , Lev N. Lipatov , Grigorii B. Pivovarov

In these lectures we discuss the Balitsky, Fadin, Kuraev, and Lipatov (BFKL) theory, which resums the leading logarithmic contributions to the radiative corrections to parton scattering in the high-energy limit, and we apply it to hadronic…

High Energy Physics - Phenomenology · Physics 2016-09-01 Vittorio Del Duca

A review of some theoretical aspects of small x QCD physics is given, with a particular emphasis to the relation between the BFKL and the colour dipole approaches. The nonlinear evolution equations one may construct, as a better…

High Energy Physics - Phenomenology · Physics 2007-05-23 G. P. Vacca

The inclusive hadroproduction of two heavy quarks, featuring a large separation in rapidity, is proposed as a novel probe channel of the Balitsky-Fadin-Kuraev-Lipatov (BFKL) approach. In a theoretical setup which includes full resummation…

High Energy Physics - Phenomenology · Physics 2020-12-02 Andrèe Dafne Bolognino , Francesco Giovanni Celiberto , Michael Fucilla , Dmitry Yu. Ivanov , Alessandro Papa

We analytically solve the full next-to-leading logarithmic Balitsky-Kovchegov equation in the saturation regime, which includes corrections from quark and gluon loops, and large double transverse logarithms. The analytic result for the…

High Energy Physics - Phenomenology · Physics 2017-06-28 Wenchang Xiang , Shaohong Cai , Daicui Zhou

Starting from a rewiev of DGLAP and BFKL evolution equations for small-x processes, a sistematic study is performed in order to understand the limits of both the formulations and to improve them in a unique framework, which aims to cover…

High Energy Physics - Phenomenology · Physics 2007-05-23 D. Colferai

Left-Right (LR) models are extensions of the Standard Model where left-right symmetry is restored at high energies, and which are strongly constrained by kaon mixing described in the framework of the $|\Delta S|=2$ effective Hamiltonian. We…

High Energy Physics - Phenomenology · Physics 2016-09-21 Véronique Bernard , Sébastien Descotes-Genon , Luiz Vale Silva