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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…

高能物理 - 唯象学 · 物理学 2007-05-23 V. S. Fadin , V. T. Kim , L. N. Lipatov , G. B. Pivovarov

We developed a general non-perturbative framework for the BFKL spectrum of planar N=4 SYM, based on the Quantum Spectral Curve (QSC). It allows one to study the spectrum in the whole generality, extending previously known methods to…

高能物理 - 理论 · 物理学 2018-08-15 Mikhail Alfimov , Nikolay Gromov , Grigory Sizov

We present a small x resummation for the GLAP anomalous dimension and its corresponding dual BFKL kernel, which includes all the available perturbative information and nonperturbative constraints. Specifically, it includes all the…

高能物理 - 唯象学 · 物理学 2010-03-25 Guido Altarelli , Richard D. Ball , Stefano Forte

We determine an approximate expression for the O(alpha_s^3) contribution chi_2 to the kernel of the BFKL equation, which includes all collinear and anticollinear singular contributions. This is derived using recent results on the relation…

高能物理 - 唯象学 · 物理学 2010-03-25 Simone Marzani , Richard D. Ball , Pietro Falgari , Stefano Forte

We consider a `color density matrix' in gauge theory. We argue that it systematically resums large logarithms originating from wide-angle soft radiation, sometimes referred to as non-global logarithms, to all logarithmic orders. We…

高能物理 - 唯象学 · 物理学 2018-03-06 Simon Caron-Huot

We present a recent determination of an approximate expression for the O(alpha_s^3) contribution chi_2 to the kernel of the BFKL equation. This includes all collinear and anticollinear singular contributions and is derived using duality…

高能物理 - 唯象学 · 物理学 2007-08-30 S. Marzani , R. D. Ball , P. Falgari , S. Forte

We study in the BFKL approach the total hadronic cross section for the collision of two virtual photons for energies in the range of LEP2 and in the range of future linear colliders. The BFKL resummation is done at the next-to-leading order…

高能物理 - 唯象学 · 物理学 2008-12-18 Francesco Caporale , Dmitry Yu. Ivanov , Alessandro Papa

We propose a modified Balitskii-Fadin-Kuraev-Lipatov equation from the viewpoint of the resummation technique, which satisfies the unitarity bound. The idea is to relax the strong rapidity ordering and to restrict phase space for real gluon…

高能物理 - 唯象学 · 物理学 2009-10-30 Hsiang-nan Li

We solve the BFKL equation in the leading logarithmic approximation numerically in the Yang-Mills theory with the Higgs mechanism for the vector boson mass generation. It can be considered as a model for the amplitude with the correct…

高能物理 - 唯象学 · 物理学 2014-04-23 Eugene Levin , Lev Lipatov , Marat Siddikov

We propose a matrix evolution equation in (x,kt)-space for flavour singlet, unintegrated quark and gluon densities, which generalizes DGLAP and BFKL equations in the relevant limits. The matrix evolution kernel is constructed so as to…

高能物理 - 唯象学 · 物理学 2010-03-25 M. Ciafaloni , D. Colferai , G. P. Salam , A. M. Stasto

We propose a new method to test the (resummed) next-to-leading-order BFKL evolution kernels using the Mellin transformed j-moments of the proton structure function F_2.

高能物理 - 唯象学 · 物理学 2014-11-17 R. Peschanski

We consider the quark beam function that describes collinear initial-state radiation that is constrained by a veto on reconstructed jets. As the veto is imposed on the transverse momenta of the jets, the beam function is subject to rapidity…

高能物理 - 唯象学 · 物理学 2023-02-01 Guido Bell , Kevin Brune , Goutam Das , Marcel Wald

We analyze a modification of the BFKL kernel for the adjoint representation of the colour group in the maximally supersymmetric (N=4) Yang-Mills theory in the limit of a large number of colours, related to the modification of the…

高能物理 - 理论 · 物理学 2016-05-25 V. S. Fadin , R. Fiore

We study the anomalous dimensions and coefficient functions generated by the BFKL equation in 4+2 epsilon dimensions, by investigating both running coupling effects, and the inclusion of the full next-to-leading kernel. After generalising…

高能物理 - 唯象学 · 物理学 2009-11-11 M. Ciafaloni , D. Colferai

The use of the BFKL kernel improved by the inclusion of subleading terms generated by renormalization group (RG) analysis has been suggested to cure the instabilities in the behavior of the BFKL Green's function in the next-to-leading…

高能物理 - 唯象学 · 物理学 2008-11-26 Francesco Caporale , Alessandro Papa , Agustin Sabio Vera

The solution to the non-forward BFKL equation in the Leading Logarithmic approximation is expressed in terms of a sum of iterations of its kernel directly in transverse momentum and rapidity space. Several studies of the non-forward…

高能物理 - 唯象学 · 物理学 2009-11-10 Jeppe R. Andersen , Agustin Sabio Vera

We present a theoretical study of the azimuthal decorrelation $\delta\phi$ and transverse momentum imbalance $q_T$ in dijet production at the LHC, offering intriguing insights into the dynamics of quantum chromodynamics. We define the jet…

高能物理 - 唯象学 · 物理学 2026-02-25 Rong-Jun Fu , Rudi Rahn , Ding Yu Shao , Wouter J. Waalewijn , Bin Wu

Higher collision energies at future colliders may eventually lead to the falsification of standard fixed-order perturbation theory and linear evolutions due to non-linear structure of QCD at small-x. New physics researches that is strictly…

高能物理 - 唯象学 · 物理学 2023-02-14 I. Hos , S. Kuday , H. Saygın

We consider the powers of leading order eigenvalue of the Balitsky-Fadin-Kuraev-Lipatov~(BFKL) equation at zero conformal spin. Using reflection identities of harmonic sums we demonstrate how involved generalized polygamma functions are…

高能物理 - 理论 · 物理学 2023-07-25 Mohammad Joubat , Claudelle Capasia Madjuogang Sandeu , Alex Prygarin

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…

高能物理 - 唯象学 · 物理学 2010-04-06 A. V. Kotikov , L. N. Lipatov