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Related papers: The Multi-Regge Limit from the Wilson Loop OPE

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We explore a direct connection between the collinear limit and the multi-Regge limit for scattering amplitudes in the N=4 super Yang-Mills theory. Starting with the collinear expansion for the six-gluon amplitude in the Euclidean kinematic…

High Energy Physics - Theory · Physics 2015-06-19 Yasuyuki Hatsuda

We analyse the OPE contribution of gluon bound states in the double scaling limit of the hexagonal Wilson loop in planar N=4 super Yang-Mills theory. We provide a systematic procedure for perturbatively resumming the contributions from…

High Energy Physics - Theory · Physics 2016-03-23 J. M. Drummond , G. Papathanasiou

We investigate the collinear and Regge behavior of the 2 -> 4 MHV amplitude in N = 4super Yang-Mills theory in the BFKL approach. The expression for the remainder function in the collinear kinematics proposed by Alday, Gaiotto, Maldacena,…

High Energy Physics - Theory · Physics 2011-04-26 J. Bartels , L. N. Lipatov , A. Prygarin

We present the four-loop remainder function for six-gluon scattering with maximal helicity violation in planar N=4 super-Yang-Mills theory, as an analytic function of three dual-conformal cross ratios. The function is constructed entirely…

High Energy Physics - Theory · Physics 2015-06-18 Lance J. Dixon , James M. Drummond , Claude Duhr , Jeffrey Pennington

We consider the hexagonal Wilson loop dual to the six-point MHV amplitude in planar N=4 super Yang-Mills theory. We apply constraints from the operator product expansion in the near-collinear limit to the symbol of the remainder function at…

High Energy Physics - Theory · Physics 2015-05-30 Lance J. Dixon , James M. Drummond , Johannes M. Henn

We present an all-orders formula for the six-point amplitude of planar maximally supersymmetric N=4 Yang-Mills theory in the leading-logarithmic approximation of multi-Regge kinematics. In the MHV helicity configuration, our results agree…

High Energy Physics - Theory · Physics 2015-06-11 Jeffrey Pennington

A novel way of computing high-order amplitudes in the multi-Regge limit of planar maximally supersymmetric Yang-Mills theory is presented. In this framework, we are able to obtain high-loop and high-leg results by an easy operation on known…

In the planar N=4 supersymmetric Yang-Mills theory, the conformal symmetry constrains multi-loop n-edged Wilson loops to be given in terms of the one-loop n-edged Wilson loop, augmented, for n greater than 6, by a function of conformally…

High Energy Physics - Theory · Physics 2014-11-20 Vittorio Del Duca , Claude Duhr , Vladimir A. Smirnov

We propose an all-loop expression for scattering amplitudes in planar N=4 super Yang-Mills theory in multi-Regge kinematics valid for all multiplicities, all helicity configurations and arbitrary logarithmic accuracy. Our expression is…

High Energy Physics - Theory · Physics 2020-12-16 V. Del Duca , S. Druc , J. M. Drummond , C. Duhr , F. Dulat , R. Marzucca , G. Papathanasiou , B. Verbeek

We present the three-loop remainder function, which describes the scattering of six gluons in the maximally-helicity-violating configuration in planar N=4 super-Yang-Mills theory, as a function of the three dual conformal cross ratios. The…

High Energy Physics - Theory · Physics 2015-06-16 Lance J. Dixon , James M. Drummond , Matt von Hippel , Jeffrey Pennington

We perform an analytic continuation of the two-loop remainder function for the six-point planar MHV amplitude in N=4 SUSY, found by Goncharov, Spradlin, Vergu and Volovich from the light-like Wilson loop representation. The remainder…

High Energy Physics - Theory · Physics 2011-03-23 L. N. Lipatov , A. Prygarin

We compute the symbol of the full-color two-loop five-particle amplitude in $\mathcal{N}=4$ super Yang-Mills, including all non-planar subleading-color terms. The amplitude is written in terms of permutations of Parke-Taylor tree-level…

High Energy Physics - Theory · Physics 2019-04-08 D. Chicherin , T. Gehrmann , J. M. Henn , P. Wasser , Y. Zhang , S. Zoia

It is shown that the four-gluon scattering amplitude for N=4 supersymmetric Yang-Mills theory in the planar limit can be written, in both the weak- and strong-coupling limits, as a reggeized amplitude, with a parent trajectory and an…

High Energy Physics - Theory · Physics 2008-11-26 Stephen G. Naculich , Howard J. Schnitzer

The multi-Regge limit of scattering amplitudes in strongly-coupled $\mathcal{N}=4$ super Yang-Mills is described by the large mass limit of a set of thermodynamic Bethe ansatz (TBA) equations. A non-trivial remainder function arises in this…

High Energy Physics - Theory · Physics 2022-01-11 Theresa Abl , Martin Sprenger

We review the Regge and multi-Regge limit of scattering amplitudes in gauge theory, focusing on QCD and its maximally supersymmetric cousin, planar ${\cal N}=4$ super-Yang-Mills theory. We identify the large logarithms that are developed in…

High Energy Physics - Theory · Physics 2023-01-11 Vittorio Del Duca , Lance J. Dixon

We compute all $2\to5$ gluon scattering amplitudes in planar $\mathcal{N}=4$ super-Yang-Mills theory in the multi-Regge limit that is sensitive to the non-trivial ("long") Regge cut. We provide the amplitudes through four loops and to all…

High Energy Physics - Theory · Physics 2022-01-19 Lance J. Dixon , Yu-Ting Liu , Julian Miczajka

Maximal helicity-violating scattering amplitudes in N=4 supersymmetric Yang-Mills theory are dual to Wilson loops on closed null polygons. We perform their operator product expansion analysis in two-dimensional kinematics in the…

High Energy Physics - Theory · Physics 2015-05-30 A. V. Belitsky

We describe the hexagon function bootstrap for solving for six-gluon scattering amplitudes in the large $N_c$ limit of ${\cal N}=4$ super-Yang-Mills theory. In this method, an ansatz for the finite part of these amplitudes is constrained at…

High Energy Physics - Theory · Physics 2014-07-28 Lance J. Dixon , James M. Drummond , Claude Duhr , Matt von Hippel , Jeffrey Pennington

This work is devoted to the six-gluon scattering amplitude in strongly coupled N=4 supersymmetric Yang-Mills theory. At weak coupling, an appropriate high energy limit of the so-called remainder function, i.e. of the deviation from the BDS…

High Energy Physics - Theory · Physics 2011-02-01 J. Bartels , J. Kotanski , V. Schomerus

We compute for the first time the two-loop corrections to arbitrary n-gon lightlike Wilson loops in N=4 supersymmetric Yang-Mills theory, using efficient numerical methods. The calculation is motivated by the remarkable agreement between…

High Energy Physics - Theory · Physics 2010-06-29 Charalampos Anastasiou , Andreas Brandhuber , Paul Heslop , Valentin V. Khoze , Bill Spence , Gabriele Travaglini
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