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High energy hard scattering in large $N_{c}$ limit can be described by the QCD dipole model. In this paper, single, double and triple BFKL pomeron exchange amplitudes are computed explicitly within the dipole model. Based on the…

High Energy Physics - Phenomenology · Physics 2010-03-25 Bo-Wen Xiao

In the hard pomeron theory with the number of colours Nc in the infinity limit the diffractive amplitude obtained in [3] is compared with the results found for Nc=3 in [1] and in the dipole approach in [5]. It is shown that the double…

High Energy Physics - Phenomenology · Physics 2011-07-18 M. A. Braun , G. P. Vacca

We utilize a novel method for the partial-wave unitarity recently suggested in [1] to analyse the hypergeometric Coon amplitude. In this approach we use a new type of harmonic numbers as a basis. Owing to the properties of the harmonic…

High Energy Physics - Theory · Physics 2024-04-30 Bo Wang

We review recent developments in the calculation of QCD loop amplitudes with several external legs, and their application to next-to-leading order jet production cross-sections. When a number of calculational tools are combined together ---…

High Energy Physics - Phenomenology · Physics 2007-05-23 Z. Bern , L. Dixon , D. A. Kosower , A. Signer

Ideas about a duality between gauge fields and strings have been around for many decades. During the last ten years, these ideas have taken a much more concrete mathematical form. String descriptions of the strongly coupled dynamics of…

High Energy Physics - Phenomenology · Physics 2008-11-26 Kasper Peeters , Marija Zamaklar

We discuss QCD evolution equations for two and three particle correlation functions of quarks and gluon fields in a hadron which describe development of the momentum distribution of a parton system with a change of the wave length of a…

High Energy Physics - Phenomenology · Physics 2017-08-23 A. V. Belitsky

I consider two cases where QCD string is described by an effective theory of long strings: the static potential and meson scattering amplitudes in the Regge regime. I show how they can be solved in the mean-field approximation, justified by…

High Energy Physics - Theory · Physics 2011-04-21 Yuri Makeenko

I review a recent progress in understanding of QCD Pomeron and its relation to exactly solvable models.

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

An algebraic approximation, of order $K$, of a polyhedron correlation function (CF) can be obtained from $\gamma\pp(r)$, its chord-length distribution (CLD), considering first, within the subinterval $[D_{i-1},\, D_i]$ of the full range of…

General Mathematics · Mathematics 2020-12-03 Salvino Ciccariello

We derive new QCD sum rules for the axial coupling constants by considering two-point correlation functions of the axial-vector currents in a one nucleon state. The QCD sum rules tell us that the axial coupling constants are expressed by…

High Energy Physics - Phenomenology · Physics 2009-10-31 T. Nishikawa , S. Saito , Y. Kondo

Double-slit experiments inferring the phase and the amplitude of the transmission coefficient performed at quantum dots (QD), in the Coulomb blockade regime, present anomalies at the phase changes depending on the number of electrons…

Mesoscale and Nanoscale Physics · Physics 2013-05-21 A. I. Mese , A. Bilekkaya , S. Arslan , S. Aktas , A. Siddiki

We report on recent experimental and theoretical developments in our understanding of the QCD running coupling \alpha_s in QCD's nonperturbative regime. They allow us to analytically compute the hadron mass spectrum, with \Lambda_s the only…

High Energy Physics - Phenomenology · Physics 2018-11-15 Alexandre Deur

The Regge behaviour of the scattering amplitudes in perturbative QCD is governed in the generalized leading logarithmic approximation by the contribution of the color--singlet compound states of Reggeized gluons. The interaction between…

High Energy Physics - Theory · Physics 2011-05-05 G. P. Korchemsky

The conformal invariance properties of the QCD Pomeron in the transverse plane allow us to give an explicit analytical expression for the solution of the BFKL equations both in the transverse coordinate and momentum spaces. This result is…

High Energy Physics - Phenomenology · Physics 2008-11-26 H. Navelet , R. Peschanski

Any loop QCD amplitude at full colour is constructed from kinematic and gauge-group building blocks. In a unitarity-based on-shell framework, both objects can be reconstructed from their respective counterparts in tree-level amplitudes.…

High Energy Physics - Phenomenology · Physics 2019-10-15 Alexander Ochirov , Ben Page

We investigate the quantum chromodynamics (QCD) corrections to hadronic final states in electron-positron collisions at $\mathcal{O}(\alpha_s^3)$ in the strong coupling constant $\alpha_s$. Namely, we analytically compute the total cross…

High Energy Physics - Phenomenology · Physics 2023-04-24 Petr Jakubčík , Matteo Marcoli , Giovanni Stagnitto

The frozen QCD coupling is a parameter often used as an effective fixed coupling. It is supposed to mimic both the running coupling effects and the lack of knowledge of alpha_s in the infrared region. Usually the value of the frozen…

High Energy Physics - Phenomenology · Physics 2013-02-21 B. I. Ermolaev , M. Greco , S. I. Troyan

Very recently, a lattice QCD collaboration has explored threshold pion electroproduction near the physical pion mass and has simulated the relevant multipole amplitudes. Different multipole amplitudes are usually entangled in experimental…

High Energy Physics - Phenomenology · Physics 2026-03-09 Yu Zhuge , Zhan-Wei Liu , Derek B. Leinweber , Anthony W. Thomas

A c++ implementation of the D_s-dimensional unitarity cut algorithm for the numerical evaluation of the virtual contribution to NLO QCD amplitudes is presented. The current version includes an arbitrary number of external gluons with…

High Energy Physics - Phenomenology · Physics 2008-12-17 A. Lazopoulos

Recently, string theory on some specific curved backgroud spacetime geometries has been conjectured to be equivalent to certain gauge theories (AdS/CFT correspondence). This correspondence may be used to investigate the non-perturbative…

High Energy Physics - Phenomenology · Physics 2007-05-23 Romuald A. Janik