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I discuss radiative corrections to the BFKL equation for high energy cross sections in perturbative QCD. Due to the gluon Reggeization in the next-to-leading $\ln s$ approximation, the form of the BFKL equation remains unchanged and the…

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

We investigate the gluon Green's function in the high energy limit of QCD using a recently proposed iterative solution of the Balitsky-Fadin-Kuraev-Lipatov (BFKL) equation at next-to-leading logarithmic (NLL) accuracy. To establish the…

High Energy Physics - Phenomenology · Physics 2014-11-17 Jeppe R. Andersen , Agustin Sabio Vera

We obtain a simple analytic expression for the high energy $\gamma^* \gamma^*$ scattering cross section at the next-to-leading order in the logarithms-of-energy power counting. To this end we employ the eigenfunctions of the NLO BFKL…

High Energy Physics - Phenomenology · Physics 2015-06-19 Giovanni A. Chirilli , Yuri V. Kovchegov

The dipole form of the gluon part of the colour singlet BFKL kernel in the next-to-leading order (NLO) is obtained in the coordinate representation by direct transfer from the momentum representation, where the kernel was calculated before.…

High Energy Physics - Phenomenology · Physics 2008-11-26 V. S. Fadin , R. Fiore , A. V. Grabovsky , A. Papa

We determine the complete NLL running of the static potential associated with the locally 1/2 BPS Wilson loop in N=4 supersymmetric Yang-Mills theory. We present results for the SU(N_c) singlet as well as for the adjoint configuration and…

High Energy Physics - Theory · Physics 2012-12-10 Maximilian Stahlhofen

The link between BFKL physics and twist-two operators involves an analytical continuation in the spin of the operators away from the physical even integer values. Typically this is done only after obtaining an analytical result for integer…

High Energy Physics - Theory · Physics 2015-06-17 Romuald A. Janik

We discuss the high energy asymptotics in the next-to-leading (NLO) BFKL equation. We find a general solution for Green functions and consider two properties of the NLO BFKL kernel: running QCD coupling and large NLO corrections to the…

High Energy Physics - Phenomenology · Physics 2009-10-31 Eugene Levin

The lack of convergence of the convolution integrals appearing in next-to-leading-power (NLP) factorization theorems prevents the applications of existing methods to resum power-suppressed large logarithmic corrections in collider physics.…

High Energy Physics - Phenomenology · Physics 2022-08-10 M. Beneke , M. Garny , S. Jaskiewicz , J. Strohm , R. Szafron , L. Vernazza , J. Wang

We show that a resummation model for the evolution kernel at small x creates a bridge between the weak and strong couplings. The resummation model embodies DGLAP and BFKL anomalous dimensions at leading logarithmic orders, as well as a…

High Energy Physics - Phenomenology · Physics 2010-03-25 Anna M. Stasto

In the context of evolution equations and scattering amplitudes in the high energy limit of the N=4 super Yang-Mills theory we investigate in some detail the BFKL gluon Green function at next-to-leading order. In particular, we study its…

High Energy Physics - Theory · Physics 2015-06-15 F. Caporale , G. Chachamis , J. D. Madrigal , B. Murdaca , A Sabio Vera

The amplitude for the forward electroproduction of two light vector mesons can be written completely within perturbative QCD in the Regge limit with next-to-leading accuracy, thus providing the first example of a physical application of the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Dmitri Yu. Ivanov , Alessandro Papa

The present techniques for the perturbative solution of quantum spectral curve problems in N=4 SYM and ABJM models are limited to the situation when the states quantum numbers are given explicitly as some integer numbers. These techniques…

High Energy Physics - Theory · Physics 2018-07-17 R. N. Lee , A. I. Onishchenko

The procedure to improve the convergence in transverse momentum space of the NLL BFKL kernel using a w-shift is revisited. An accurate approximation to this shift only depending on transverse momenta is presented. This approximation is…

High Energy Physics - Phenomenology · Physics 2008-11-26 Agustin Sabio Vera

We present results for the NLO kernel of the BKP equations for composite states of three reggeized gluons in the Odderon channel, both in QCD and in N=4 SYM. The NLO kernel consists of the NLO BFKL kernel in the color octet representation…

High Energy Physics - Phenomenology · Physics 2015-06-11 J. Bartels , V. S. Fadin , L. N. Lipatov , G. P. Vacca

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 present approximations of varying degree of sophistication to the integral equations for the (gluon) structure functions of a hadron (``the partonic flux factor'') in a model valid in the Leading Log Approximation with a running coupling…

High Energy Physics - Phenomenology · Physics 2009-10-30 B. Andersson , G. Gustafson , H. Kharraziha

We apply numerical conformal bootstrap techniques to the four-point function of a Weyl spinor in 4d non-supersymmetric CFTs. We find universal bounds on operator dimensions and OPE coefficients, including bounds on operators in mixed…

High Energy Physics - Theory · Physics 2019-02-19 Denis Karateev , Petr Kravchuk , Marco Serone , Alessandro Vichi

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…

High Energy Physics - Phenomenology · Physics 2010-03-25 Simone Marzani , Richard D. Ball , Pietro Falgari , Stefano Forte

We discuss how the multi-Regge factorisation of QCD amplitudes can be used in the study of multi-jet processes at colliders. We describe how the next-to-leading logarithmic (NLL) BFKL evolution can be combined with energy and momentum…

High Energy Physics - Phenomenology · Physics 2017-08-23 Jeppe R. Andersen

The recently-proposed resummation procedure for anti-collinear logarithms in the JIMWLK kernel~\cite{Kovner:2023vsy} is studied in the linear (BFKL) regime in the fixed-coupling approximation. Simple closed form expressions for the resummed…

High Energy Physics - Phenomenology · Physics 2026-01-06 Alex Kovner , Michael Lublinsky , Maxim Nefedov , Vladimir Skokov
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