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The four-pomeron vertex is studied in the perturbative QCD. Its dominating terms of the leading (zeroth and first) orders in the coupling constant and subdominant in the number of colors are constructed. The vertex consists of two terms,…

High Energy Physics - Phenomenology · Physics 2021-12-22 M. A. Braun

A formula to unitarize the leading-log BFKL-Pomeron amplitude is derived using a coherent property of two-body collision in the peripheral region. This procedure also allows an algebraic characterization of the Reggeon in QCD based on…

High Energy Physics - Phenomenology · Physics 2009-10-31 C. S. Lam

We study integrations over light-cone momenta in the high energy effective action of QCD. After a review of the effective action, we arrive on a regularization mechanism from matching with QCD diagrams, which we apply to a re-derivation of…

High Energy Physics - Phenomenology · Physics 2009-08-19 M. Hentschinski

We present an expression for the QCD amplitude for a general hard scattering process with any number of soft gluon emissions, to one-loop accuracy. The amplitude is written in two different but equivalent ways: as a product of operators…

High Energy Physics - Phenomenology · Physics 2016-06-01 René Ángeles-Martínez , Jeffrey R. Forshaw , Michael H. Seymour

This note highlights the predictive power of the 3-component Pomeron model designed by the authors ten years ago with a partial account of the multiplicity of Pomerons in QCD. The model is put to the test by comparing its predictions with…

High Energy Physics - Phenomenology · Physics 2015-06-12 V. A. Petrov , A. Prokudin

A new method is applied to solve the Baxter equation for the one dimensional system of noncompact spins. Dynamics of such an ensemble is equivalent to that of a set of reggeized gluons exchanged in the high energy limit of QCD amplitudes.…

High Energy Physics - Theory · Physics 2008-02-03 J. Wosiek , R. A. Janik

As an extension of the former study on 2-dimensional systems, we simulate phase behavior of polymer-grafted colloidal particles in 3 dimensions by molecular Monte Carlo technique in the canonical ensemble. We use a spherically symmetric…

Soft Condensed Matter · Physics 2014-04-02 Yuki Norizoe , Toshihiro Kawakatsu

In this paper we continue to pursue a goal of finding the effective theory for high energy interaction in QCD based on the colour dipole approach, for which the BFKL Pomeron Calculus gives a low energy limit. The two key problems, that we…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. ~Kozlov , E. ~Levin , A. ~Prygarin

We present an algorithm for the numerical calculation of one-loop QCD amplitudes. The algorithm consists of subtraction terms, approximating the soft, collinear and ultraviolet divergences of one-loop amplitudes and a method to deform the…

High Energy Physics - Phenomenology · Physics 2010-12-09 Sebastian Becker , Christian Reuschle , Stefan Weinzierl

The main goal of the paper is to show that we can treat the $1/N_c$ QCD corrections in the Pomeron calculus. We develop the one dimensional model which is a simplification of the QCD approach that includes $\pom \to 2 \pom$, $2 \pom \to…

High Energy Physics - Phenomenology · Physics 2024-10-30 Eugene Levin

In a first part, we generalize a theorem for an holomorphic $\times $ anti-holomorphic integrand, in the case of 2 dimensional Fourier transform. In the second part, we derive p-uple conformal integrals the integrand of which are linear…

Mathematical Physics · Physics 2009-10-31 J. S. Geronimo , H. Navelet

The QCD axion couplings of various invisible axion models are presented. In particular, the exact global symmetry U(1)$_{\rm PQ}$ in the superpotential is possible for the anomalous U(1) from string compactification, broken only by the…

High Energy Physics - Phenomenology · Physics 2016-06-03 Jihn E. Kim

We review recent advances towards the computation of string couplings. Duality symmetry, mirror symmetry, Picard-Fuchs equations, etc. are some of the tools.

High Energy Physics - Theory · Physics 2009-10-22 Albrecht Klemm , Stefan Theisen

We present on the use of on-shell recursion relations. These can be used not only for calculating tree amplitudes, including those with masses, but also to compute analytically the missing rational terms of one-loop QCD amplitudes. Combined…

High Energy Physics - Phenomenology · Physics 2017-08-23 Darren Forde

We investigate the occurrence of power terms in the running QCD coupling by analysing non-perturbative measurements of alpha_s (p) at low momenta obtained from the lattice three-gluon vertex. Our exploratory study provides some evidence for…

High Energy Physics - Phenomenology · Physics 2007-05-23 G. Burgio , F. Di Renzo , C. Parrinello , C. Pittori

The goal of this paper is to sum over a class of enhanced diagrams, and derive a new Pomeron Green function. It is found that this sum gives the Pomeron contribution to the scattering amplitude that decreases with energy. In other words, we…

High Energy Physics - Phenomenology · Physics 2015-06-03 E. Levin , J. Miller

We present examples of on-shell recurrence relations for determining rational functions appearing in one-loop QCD amplitudes. In particular, we give relations for one-loop QCD amplitudes with all legs of positive helicity, or with one leg…

High Energy Physics - Theory · Physics 2010-11-15 Zvi Bern , Lance J. Dixon , David A. Kosower

QCD string is formed at the distances larger than the confinement scale and can be described by the Polchinski--Strominger effective string theory with a nonpolynomial action, which has nevertheless a well-defined semiclassical expansion…

High Energy Physics - Theory · Physics 2011-01-26 Yuri Makeenko

An eikonalized elastic proton-proton and proton-antiproton scattering amplitude, based on the suggestion of a finite sum of ladder diagrams, calculated from QCD and the number of $s-$channel gluon rungs and correspondingly the powers of…

High Energy Physics - Phenomenology · Physics 2012-02-21 A. Lengyel , Z. Tarics

We present a novel analysis of diffractive DIS data, in which the input parton distributions of the Pomeron are parameterised using perturbative QCD expressions. In addition to the usual two-gluon model for the perturbative Pomeron, we…

High Energy Physics - Phenomenology · Physics 2007-05-23 G. Watt , A. D. Martin , M. G. Ryskin
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