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Related papers: The non-forward BFKL equation and infrared effects

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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

We perform a detailed analysis of the different forms of the kinematical constraint imposed on the low $x$ evolution that appear in the literature. We find that all of them generate the same leading anti-collinear poles in Mellin space…

High Energy Physics - Phenomenology · Physics 2019-09-04 Michal Deak , Krzysztof Kutak , Wanchen Li , Anna M. Staśto

In a number of physical situations, from polarons to Dirac liquids and to non-Fermi liquids, one encounters the "beyond quasiparticles" regime, in which the inelastic scattering rate exceeds the thermal energy of quasiparticles. Transport…

Strongly Correlated Electrons · Physics 2019-08-15 Andrey S. Mishchenko , Lode Pollet , Nikolay V. Prokof'ev , Abhishek Kumar , Dmitrii L. Maslov , Naoto Nagaosa

We derive the solution of the NLO BFKL equation by constructing its eigenfunctions perturbatively, using an expansion around the LO BFKL (conformal) eigenfunctions. This method can be used to construct a solution of the BFKL equation with…

High Energy Physics - Phenomenology · Physics 2015-06-15 Giovanni A. Chirilli , Yuri V. Kovchegov

We discuss the significance of the next-to-leading order term in the BFKL equation on the energy dependence of diffractive processes controlled by the perturbative QCD pomeron. It is shown that whereas the large negative corrections do…

High Energy Physics - Phenomenology · Physics 2008-11-26 D. A. Ross

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

A feasible mechanism of unitarization of amplitudes of deep inelastic scattering at small values of Bjorken $x$ is the gluon fusion. However, its efficiency depends crucially on the vacuum color screening effect which accompanies the…

High Energy Physics - Phenomenology · Physics 2015-06-04 R. Fiore , P. V. Sasorov , V. R. Zoller

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

The production in hadron-hadron collisions of jet pairs with large rapidity separation and comparable modest transverse momentum is, in principle, described by the perturbative QCD BFKL equation. The measurement of such jet pairs appears…

High Energy Physics - Phenomenology · Physics 2009-10-31 Lynne H. Orr , W. J. Stirling

We show that a growth of the proton-proton total cross section with energy can be entirely attributed to the purely perturbative mechanism. The infrared regularization at rather short distances, $R_c\simeq 0.3$ fm, allows to extend the BFKL…

High Energy Physics - Phenomenology · Physics 2015-06-19 R. Fiore , N. N. Nikolaev , V. R. Zoller

We perform a detailed analysis of the total inelastic cross-section for gamma*gamma* collisions. Different contributions coming from the quark box diagram, reggeons, the soft and hard pomeron are included. The QCD pomeron contribution…

High Energy Physics - Phenomenology · Physics 2009-01-07 J. Kwiecinski , L. Motyka

In most non-perturbative methods in hadron physics the calculations are started with a correlation function in terms of some interpolating and transition currents in $ x $-space. For simplicity, the calculations are then transformed to the…

High Energy Physics - Phenomenology · Physics 2018-10-17 K. Azizi , A. R. Olamaei , S. Rostami

Of late, the field of BFKL physics has been the subject of significant developments. The calculation of the NLL terms was recently completed, and they turned out to be very large. Techniques have been proposed to resum these corrections.…

High Energy Physics - Phenomenology · Physics 2014-11-17 Gavin P. Salam

We have modeled the simultaneous first-order Fermi shock acceleration of protons, electrons, and helium nuclei by relativistic shocks. By parameterizing the particle diffusion, our steady-state Monte Carlo simulation allows us to follow…

High Energy Astrophysical Phenomena · Physics 2015-07-15 Donald C. Warren , Donald C. Ellison , Andrei M. Bykov , Shiu-Hang Lee

In the framework of analytic approach to QCD the nonperturbative contributions in running coupling of strong interaction up to 4-loop order are obtained in an explicit form. For all $Q>\Lambda$ they are shown to be represented in the form…

High Energy Physics - Phenomenology · Physics 2009-11-07 Aleksey I. Alekseev

We argue that collider observables such as hadron number flux can be matched onto a linear combination of detectors/light-ray operators in perturbative QCD. The spectrum of detectors in QCD is subtle, due to recombination between the DGLAP…

High Energy Physics - Theory · Physics 2025-12-16 Cyuan-Han Chang , Hao Chen , David Simmons-Duffin , Hua Xing Zhu

Unitarity corrections to the BFKL evolution at next to leading order determine a new component of the evolution kernel which is shown to possess conformal invariance properties. Expressions for the complete spectrum of the new component and…

High Energy Physics - Phenomenology · Physics 2007-05-23 Claudio Coriano' , Alan R. White

We provide a combinatorial formula for the expansion of immaculate noncommutative symmetric functions into complete homogeneous noncommutative symmetric functions. To do this, we introduce generalizations of Ferrers diagrams which we call…

Combinatorics · Mathematics 2023-10-09 Edward E Allen , Sarah K Mason

We consider the QCD scattering amplitudes at high energies sqrt{s} and fixed momentum transfers sqrt{-t} in the leading logarithmic approximation at a non-zero temperature T in the t-channel. It is shown that the BFKL Hamiltonian has the…

High Energy Physics - Phenomenology · Physics 2011-07-19 H. J. de Vega , L. N. Lipatov

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
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