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The finite remainder function for planar, color-ordered, maximally helicity violating scattering processes in N=4 super Yang-Mills theory possesses a non-vanishing multi-Regge limit that depends on the choice of a Mandelstam region. We…

High Energy Physics - Theory · Physics 2023-02-22 Till Bargheer , Vsevolod Chestnov , Volker Schomerus

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 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 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 revisit the calculation of the six-gluon remainder function in planar $\mathcal{N} = 4$ super Yang-Mills theory from the strong coupling TBA in the multi-Regge limit and identify an infinite set of kinematically subleading terms. These…

High Energy Physics - Theory · Physics 2017-02-01 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 consider polygonal Wilson loops with null edges in conformal gauge theories. We derive an OPE-like expansion when several successive lines of the polygon are becoming aligned. The limit corresponds to a collinear, or multicollinear,…

High Energy Physics - Theory · Physics 2011-04-28 Luis F. Alday , Davide Gaiotto , Juan Maldacena , Amit Sever , Pedro Vieira

We consider the planar MHV amplitude in N=4 supersymmetric Yang-Mills theory for 2 -> 4 particle scattering at two and three loops in the Regge kinematics. We perform an analytic continuation of two-loop result for the remainder function…

High Energy Physics - Theory · Physics 2011-06-13 L. N. Lipatov , A. Prygarin

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 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 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 present an all-loop dispersion integral, well-defined to arbitrary logarithmic accuracy, describing the multi-Regge limit of the 2->5 amplitude in planar N=4 super Yang-Mills theory. It follows from factorization, dual conformal symmetry…

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

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

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…

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

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

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

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

A recent, integrability-based conjecture in the framework of the Wilson loop OPE for N=4 SYM theory, predicts the leading OPE contribution for the hexagon MHV remainder function and NMHV ratio function to all loops, in integral form. We…

High Energy Physics - Theory · Physics 2014-02-18 Georgios Papathanasiou

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
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