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Related papers: NNLO BFKL Pomeron eigenvalue in N=4 SYM

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Using the methods of the recently proposed Quantum Spectral Curve (QSC) originating from integrability of ${\cal N}=4$ Super--Yang-Mills theory we analytically continue the scaling dimensions of twist-2 operators and reproduce the so-called…

High Energy Physics - Theory · Physics 2015-08-06 Mikhail Alfimov , Nikolay Gromov , Vladimir Kazakov

We find the eigenvalue of the kernel of BFKL equation in the next-to-next-to-leading logarithm approximation in the planar N=4 SM theory from the constraints, coming from the six-loop anomalous dimension of twist-2 operators and known…

High Energy Physics - Theory · Physics 2015-08-13 V. N. Velizhanin

We find the eigenvalue of the kernel of BFKL equation in the next-to-next-to-next-to-leading logarithm approximation (NNNLLA) in the planar N=4 SYM theory by using the quantum spectral curve to compute values at fixed spin, and…

High Energy Physics - Theory · Physics 2021-06-14 V. N. Velizhanin

On the basis of a renormalization group analysis of the kernel and of the solutions of the BFKL equation with subleading corrections, we propose and calculate a novel expansion of a properly defined effective eigenvalue function. We argue…

High Energy Physics - Phenomenology · Physics 2009-10-31 M. Ciafaloni , D. Colferai

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

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 2007-05-23 Victor T. Kim , Lev N. Lipatov , Grigorii B. Pivovarov

In this lecture the next-to-leading order (NLO) corrections to the QCD Pomeron intercept obtained from the Balitsky-Fadin-Kuraev-Lipatov (BFKL) equation are discussed. It is shown that the BFKL Pomeron intercept when evaluated in…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. S. Fadin , V. T. Kim , L. N. Lipatov , G. B. Pivovarov

We present a general formula for the amplitude of forward exclusive hadronic processes in the semihard regime of perturbative Quantum Chromodynamics (QCD), by means of the {\em next-to-leading order} eigenfunctions of the…

High Energy Physics - Phenomenology · Physics 2025-09-29 Ada Polizzi , Michael Fucilla , Alessandro Papa

We review the result for the BFKL Pomeron intercept at N=4 Supersymmetric Yang-Mills model in the form of the inverse coupling expansion $j_0=2-2\lambda^{-1/2}-\lambda^{-1} + 1/4 \, \lambda^{-3/2} + 2(3\zeta_3+1) \, \lambda^{-2}…

High Energy Physics - Theory · Physics 2015-02-26 A. V. Kotikov

We discuss a residual freedom of the next-to-leading BFKL eigenvalue that originates from ambiguity in redistributing the next-to-leading~(NLO) corrections between the adjoint BFKL eigenvalue and eigenfunctions in planar $\mathcal{N}=4$…

High Energy Physics - Theory · Physics 2016-08-24 Sergey Bondarenko , Alex Prygarin

It is shown that the next-to-leading order (NLO) corrections to the QCD Pomeron intercept obtained from the BFKL equation, when evaluated in non-Abelian physical renormalization schemes with BLM optimal scale setting do not exhibit the…

High Energy Physics - Phenomenology · Physics 2009-09-11 Stanley J. Brodsky , Victor S. Fadin , Victor T. Kim , Lev N. Lipatov , Grigorii B. Pivovarov

We review the applications of the Quantum Spectral Curve (QSC) method to the Regge (BFKL) limit in N=4 supersymmetric Yang-Mills theory. QSC, based on quantum integrability of the AdS$_5$/CFT$_4$ duality, was initially developed as a tool…

High Energy Physics - Theory · Physics 2020-03-20 Mikhail Alfimov , Nikolay Gromov , Vladimir Kazakov

The Balitsky-Fadin-Kuraev-Lipatov equation in the next-to-leading logarithmic approximation is solved using an iterative method. We derive the solution for forward scattering with all conformal spins. A discussion of the infrared finiteness…

High Energy Physics - Phenomenology · Physics 2009-11-10 Jeppe R. Andersen , Agustin Sabio Vera

We show the result for the BFKL Pomeron intercept at N=4 Supersymmetric Yang-Mills model in the form of the inverse coupling expansion j0=2-2 lambda**(-1/2)- lambda**(-1) + 1/4 lambda**(-3/2) + 2(1+3zeta3) lambda**(-2) + O(lambda**(-5/2)),…

High Energy Physics - Theory · Physics 2015-06-11 A. V. Kotikov , L. N. Lipatov

We solve the Balitsky-Fadin-Kuraev-Lipatov equation in the next-to-leading logarithmic approximation for forward scattering with all conformal spins using an iterative method.

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

We revisit the next-to-leading order~(NLO) correction to the eigenvalue of the BFKL equation in the adjoint representation and investigate its properties in analogy with the singlet BFKL in planar $\mathcal{N}=4$ super Yang-Mills…

High Energy Physics - Theory · Physics 2015-10-27 S. Bondarenko , A. Prygarin

We complete the calculation of the next-to-leading kernel of the BFKL equation, by disentangling its energy-scale dependent part from the impact factor corrections in large-k dijet production. Using the irreducible part previously…

High Energy Physics - Phenomenology · Physics 2009-10-31 Marcello Ciafaloni , Gianni Camici

The kernel of the BFKL equation for non-zero momentum transfer is found at next-to-leading order. It is presented in various forms depending on the regularization of the infrared singularities in "virtual" and "real" parts of the kernel.…

High Energy Physics - Phenomenology · Physics 2010-11-05 V. S. Fadin , R. Fiore

The representation of the total cross section at high energy $\sqrt s$ in the next-to-leading $\ln s$ approximation is given with definition of the impact factors and explicit expression for the BFKL kernel. The estimate of the Pomeron…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. S. Fadin

We study next-to-leading corrections to the integral kernel of the BFKL equation for high energy cross-sections in QCD and in supersymmetric gauge theories. The eigenvalue of the BFKL kernel is calculated in an analytic form as a function…

High Energy Physics - Phenomenology · Physics 2010-04-06 A. V. Kotikov , L. N. Lipatov
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