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We develop a new systematic procedure for the Regge limit in perturbative QCD to arbitrary logarithmic order. The formalism relies on the IR structure and the gauge symmetry of the theory. We identify leading regions in loop momentum space…

High Energy Physics - Phenomenology · Physics 2009-11-10 Tibor Kucs

The eikonal approximation is an ideal tool to extract classical observables in gauge theory and gravity directly from scattering amplitudes. Here we consider effective theories of gravity where in addition to the Einstein-Hilbert term we…

High Energy Physics - Theory · Physics 2020-08-26 Manuel Accettulli Huber , Andreas Brandhuber , Stefano De Angelis , Gabriele Travaglini

We review the theoretical approaches for investigations of the high energy hadron-hadron scattering in the Regge kinematics. It is demonstrated, that the gluon in QCD is reggeized and the Pomeron is a composite state of the reggeized…

High Energy Physics - Theory · Physics 2008-10-22 L. N. Lipatov

This work is devoted to the six-gluon scattering amplitude in strongly coupled N=4 supersymmetric Yang-Mills theory. At weak coupling, an appropriate high energy limit of the so-called remainder function, i.e. of the deviation from the BDS…

High Energy Physics - Theory · Physics 2011-02-01 J. Bartels , J. Kotanski , V. Schomerus

Our aim is to show how the reggeization of the gluon, encoded in the bootstrap property of the BFKL kernel, permits to calculate the interaction kernel in the octet colour channel in the forward and non forward direction, for the quark…

High Energy Physics - Phenomenology · Physics 2016-11-23 G. P. Vacca

Contributions from gluon interactions, which are non-leading in high-energy semi-hard processes, are studied and represented in terms of reggeon exchanges. Unlike the leading gluonic reggeon, related to the BFKL pomeron, the non-leading…

High Energy Physics - Phenomenology · Physics 2008-11-26 R. Kirschner , L. Szymanowski

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

A truncated BFKL series is studied and applied to hadronic processes. The proton-(anti)proton cross sections are described with good agreement with data and in a way consistent with the unitarity bound. The elastic scattering amplitude is…

High Energy Physics - Phenomenology · Physics 2009-10-31 M. B. Gay Ducati , M. V. T. Machado

We consider the perturbative (weak field) limit of the small $x$ QCD evolution equation for quadrupole, the normalized trace of four Wilson lines in the fundamental representation, which appears in di-hadron angular correlation in high…

High Energy Physics - Phenomenology · Physics 2013-05-30 Jamal Jalilian-Marian

In this note we derive Dyson-Schwinger hierarchy of the equations for the correlators of reggeized gluon fields in the framework of Lipatov's high energy QCD effective action formalism, \cite{LipatovEff,Our1,Our2,Our3,Our4}. The explicit…

High Energy Physics - Theory · Physics 2019-01-30 S. Bondarenko , S. Pozdnyakov

In this contribution a recently proposed iterative procedure is used to study the BFKL gluon Green's function at next-to-leading order. This is done in QCD and in N=4 supersymmetric Yang-Mills theory. The study includes an analysis of the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Agustin Sabio Vera

We study unequal rapidity correlators in the stochastic Langevin picture of Jalilian-Marian - Iancu - McLerran - Weigert - Leonidov - Kovner (JIMWLK) evolution in the Color Glass Condensate effective field theory. By separately evolving the…

High Energy Physics - Phenomenology · Physics 2019-10-22 Tuomas Lappi , Andrecia Ramnath

We discuss the duality symmetry of the linear(BFKL) and the non-linear(BK) high energy evolutions in the multicolor limit. We show that the usual color dipole picture is dual to the forward reggeized gluon formulation. The presented…

High Energy Physics - Phenomenology · Physics 2009-12-15 Alex Prygarin

We compute next to eikonal (NE) and next to next to eikonal (NNE) corrections to the Lipatov vertex due to a finite target thickness. These arise from electric field insertions into the eikonal Wilson lines. We then derive a…

High Energy Physics - Phenomenology · Physics 2016-10-26 Tolga Altinoluk , Adrian Dumitru

Analysing the asymptotic behaviour of the quark-quark elastic scattering amplitude at high energy and fixed transferred momentum and assuming that gluon is reggeized, we obtain the evolution equation for the gluon Regge trajectory in QCD.…

High Energy Physics - Phenomenology · Physics 2009-10-28 I. A. Korchemskaya , G. P. Korchemsky

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

In the present work, the scattering between a light scalar particle $\phi$ and a heavy scalar $\sigma$ in the eikonal limit is considered, for gravity scenarios containing higher order derivatives, such as the ones studied in…

General Relativity and Quantum Cosmology · Physics 2026-01-08 L. Lanosa , O. Santillan

We address here the problem of describing both the total and the elastic proton-proton cross-section, through the four outstanding features of hadron scattering: (i) the optical point; (ii) the forward peak, (iii) the dip and (iv) the…

High Energy Physics - Phenomenology · Physics 2014-04-01 Giulia Pancheri , Daniel A. Fagundes , A. Grau , O. Shekhovtsova , Yogendra N. Srivastava

We investigate the impact of so called kinematic constraint on gluon evolution at small $x$. Implanting the constraint on the real emission term of gluon ladder diagram, we obtain an integro-differential form of BFKL equation. Later we…

High Energy Physics - Phenomenology · Physics 2020-04-22 P. Phukan , M. Lalune , J. K. Sarma

We present the first estimate of the gluon-gluon fusion process, gg->4f, in the high energy domain as a probe of the electroweak symmetry breaking mechanism (EWSB). We consider the exact matrix element at $O(\alpha_s\alpha_{em}^2)$, and we…

High Energy Physics - Phenomenology · Physics 2008-11-26 E. Accomando