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Related papers: Soft gluon cascades and BFKL equation

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We apply the Low's theorem to soft gluon emission from heavy quark scattering in the nonperturbative strongly interacting quark-gluon plasma (sQGP). The sQGP is described in terms of the dynamical quasi-particles and adjusted to reproduce…

Nuclear Theory · Physics 2023-02-22 Taesoo Song , Ilia Grishmanovskii , Olga Soloveva

We consider the radiation of a soft gluon ($g$) and a soft quark-antiquark ($q{\bar q}$) pair in QCD hard scattering. In the soft limit the scattering amplitude has a singular behaviour that is factorized and controlled by a soft current,…

High Energy Physics - Phenomenology · Physics 2023-02-01 Stefano Catani , Leandro Cieri , Dimitri Colferai , Francesco Coradeschi

The high energy (Regge) limit provides a playground for understanding all loop structures of scattering amplitudes, and plays an important role in the description of many phenomenologically relevant cross-sections. While well understood in…

High Energy Physics - Phenomenology · Physics 2024-09-02 Anjie Gao , Ian Moult , Sanjay Raman , Gregory Ridgway , Iain W. Stewart

We consider scattering amplitudes in string models in the Regge limit of high energies and fixed momentum transfers with the use of the unitarity in direct channels. Intermediate states are taken in the multi-Regge kinematics corresponding…

High Energy Physics - Phenomenology · Physics 2008-11-26 G. S. Danilov , L. N. Lipatov

The Balitsky-Fadin-Kuraev-Lipatov (BFKL) approach for the cross sections at high energy $\sqrt s$ in perturbative QCD is briefly reviewed. The role of gluon Reggeization in the derivation of the BFKL equation and its compatibility with…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Papa

The following topics in perturbative QCD are reviewed: recent theoretical progress in higher-order calculations; soft-gluon resummation for hard-scattering processes at large $E_T$ and high $x$; low-$x$ behaviour of structure functions and…

High Energy Physics - Phenomenology · Physics 2007-05-23 Stefano Catani

At small momentum transfer, the quark-gluon scattering cross section d{\sigma}/dt has a power-law divergence in the backward scattering region where the outgoing quark is nearly collinear to the incoming gluon. In this Regge limit |t|<< s,…

High Energy Physics - Phenomenology · Physics 2022-03-02 Arindam Bhattacharya , Aneesh V. Manohar , Matthew D. Schwartz

The reggeized gluon states, which are also called Reggeons, appear in the scattering amplitude of hadrons in Regge limit. The wave-function of Reggeons satisfy the BKP equation, which in multi-colour limit of Quantum Chromodynamics is…

High Energy Physics - Theory · Physics 2007-05-23 Jan Kotanski

We analyse the high-energy limit of the gluon-gluon scattering amplitude in QCD, and display an intriguing relation between the finite parts of the one-loop gluon impact factor and the finite parts of the two-loop Regge trajectory.

High Energy Physics - Phenomenology · Physics 2018-04-04 Vittorio Del Duca

In this paper we proceed with the study of the Pomeron spectrum, by solving numerically the BFKL equation with massive gluons and running coupling. The spectrum of Regge singularities is discrete and the leading Pomeron has a considerable…

High Energy Physics - Phenomenology · Physics 2016-11-15 Eugene Levin , Lev Lipatov , Marat Siddikov

We consider the Color Glass Condensate (CGC) at finite temperature, which would be relevant to the initial condition of relativistic heavy ion collisions and the energy loss of energetic partons in the quark-gluon plasma. In the weak source…

High Energy Physics - Phenomenology · Physics 2008-07-26 Kazuaki Ohnishi , Su Houng Lee

We discuss how the multi-Regge factorisation of QCD amplitudes can be used in the study of multi-jet processes at colliders. We describe how the next-to-leading logarithmic (NLL) BFKL evolution can be combined with energy and momentum…

High Energy Physics - Phenomenology · Physics 2017-08-23 Jeppe R. Andersen

An improved generalized suppression factor for gluon emission off a heavy quark is derived within perturbative QCD, which is valid for the full range of rapidity of the radiated gluon and also has no restriction on the scaled mass of the…

High Energy Physics - Phenomenology · Physics 2013-05-30 Raktim Abir , Carsten Greiner , Mauricio Martinez , Munshi G. Mustafa , Jan Uphoff

After a brief review of the BFKL approach to Regge processes in QCD and in supersymmetric (SUSY) gauge theories we propose a strategy for calculating the next-to-next-to-leading order corrections to the BFKL kernel. They can be obtained in…

High Energy Physics - Theory · Physics 2009-09-02 J. Bartels , L. N. Lipatov , A. Sabio Vera

We consider the (process-independent) Green function for the BFKL equation in the next-to-leading order approximation, with running coupling, and explain how, within the semi-classical approximation, it is related to Green function of the…

High Energy Physics - Phenomenology · Physics 2015-06-18 Henri Kowalski , Lev Lipatov , Douglas Ross

We propose the eikonal approximation as a simple and reliable tool to analyze relativistic high-energy processes, provided that the necessary subtleties are accounted for. An important subtlety is the need to include eikonal phases for a…

High Energy Physics - Theory · Physics 2015-05-20 Simon Caron-Huot

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

Soft gluon radiation induced by multiple scattering of a fast quark or gluon propagating through QCD matter is discussed. After revisiting the Landau-Pomeranchuk-Migdal effect in QED we show that large formation times of bremsstrahlung…

High Energy Physics - Phenomenology · Physics 2009-10-28 R. Baier , Yu. L. Dokshitzer , S. Peigné , D. Schiff

In this paper we encode the perturbative BFKL leading logarithmic resummation, relevant for the Regge limit behavior of QCD scattering amplitudes, in the IR-regulated effective action which satisfies exact functional renormalization group…

High Energy Physics - Phenomenology · Physics 2019-01-30 J. Bartels , C. Contreras , G. P. Vacca

We discuss the Wilson renormalization group approach to the effective action for low $x$ physics. It is shown that in the linearized, weak field regime the RG equation reduces to the BFKL equation for the evolution of the unintegrated gluon…

High Energy Physics - Phenomenology · Physics 2009-10-30 Jamal Jalilian-Marian , Alex Kovner , Andrei Leonidov , Heribert Weigert