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Scattering amplitudes in maximally supersymmetric gauge theory receive a dual description in terms of the expectation value of the super Wilson loop stretched on a null polygonal contour. This makes the analysis amenable to nonperturbative…

High Energy Physics - Theory · Physics 2015-12-09 A. V. Belitsky

We analyze the near-collinear limit of the null polygonal hexagon super Wilson loop in the planar N = 4 superYang-Mills theory. We focus on its Grassmann components which are dual to next-to-maximal helicity-violating (NMHV) scattering…

High Energy Physics - Theory · Physics 2017-09-06 A. V. Belitsky

Pentagon Operator Product Expansion provides a non-perturbative framework for analysis of scattering amplitudes in planar maximally supersymmetric gauge theory building up on their duality to null polygonal super Wilson loop and…

High Energy Physics - Theory · Physics 2016-09-21 A. V. Belitsky

The Operator Product Expansion approach to scattering amplitudes in maximally supersymmetric gauge theory operates in terms of pentagon transitions for excitations propagating on a color flux tube. These obey a set of axioms which allow one…

High Energy Physics - Theory · Physics 2016-12-21 A. V. Belitsky

We analyze the pentagon transitions involving arbitrarily many flux-tube gluonic excitations and bound states thereof in planar N=4 Super-Yang-Mills theory. We derive all-loop expressions for all these transitions by factorization and…

High Energy Physics - Theory · Physics 2015-06-22 Benjamin Basso , Amit Sever , Pedro Vieira

We extend the hexagon function bootstrap to the next-to-maximally-helicity-violating (NMHV) configuration for six-point scattering in planar ${\cal N}=4$ super-Yang-Mills theory at three loops. Constraints from the $\bar{Q}$ differential…

High Energy Physics - Theory · Physics 2014-11-13 Lance J. Dixon , Matt von Hippel

Form factors in planar $\mathcal{N}=4$ super-Yang-Mills theory have a dual description in terms of periodic Wilson loops. This duality maps the multi-collinear expansion of the former to an operator product expansion of the latter. The…

High Energy Physics - Theory · Physics 2022-03-24 Amit Sever , Alexander G. Tumanov , Matthias Wilhelm

The Pentagon Operator Product Expansion represents polygonal Wilson loops in planar $\mathcal{N}=4$ super Yang-Mills in terms of a series of flux tube excitations for finite coupling. We demonstrate how to re-sum this series at the one loop…

High Energy Physics - Theory · Physics 2016-09-27 Ho Tat Lam , Matt von Hippel

We address the near-collinear expansion of NMHV six-particle scattering amplitudes at strong value of 't Hooft coupling in planar maximally supersymmetric Yang-Mills theory. We complement recent studies of this observable within the context…

High Energy Physics - Theory · Physics 2016-09-21 A. V. Belitsky

The form factor program for the regularized space-time S-matrix in planar maximally supersymmetric gauge theory, known as the pentagon operator product expansion, is formulated in terms of flux-tube excitations propagating on a dual…

High Energy Physics - Theory · Physics 2018-03-14 A. V. Belitsky

We propose an operator product expansion for planar form factors of local operators in $\mathcal{N}=4$ SYM theory. This expansion is based on the dual conformal symmetry of these objects or, equivalently, the conformal symmetry of their…

High Energy Physics - Theory · Physics 2021-06-22 Amit Sever , Alexander G. Tumanov , Matthias Wilhelm

We elaborate on a non-perturbative formulation of scattering amplitudes/null polygonal Wilson loops in planar N=4 Super-Yang-Mills theory. The construction is based on a decomposition of the Wilson loop into elementary building blocks named…

High Energy Physics - Theory · Physics 2015-06-16 Benjamin Basso , Amit Sever , Pedro Vieira

Scattering amplitudes in maximally supersymmetric gauge theory are dual to super-Wilson loops on null polygonal contours. The operator product expansion for the latter revealed that their dynamics is governed by the evolution of…

High Energy Physics - Theory · Physics 2015-06-18 A. V. Belitsky , S. E. Derkachov , A. N Manashov

We present the general flux tube integrand for MHV and non-MHV amplitudes, in planar N = 4 SYM theory, up to a group theoretical rational factor. We find that the MHV and non-MHV cases only differ by simple form factors which we derive.…

High Energy Physics - Theory · Physics 2016-07-26 Benjamin Basso , Joao Caetano , Lucia Cordova , Amit Sever , Pedro Vieira

The Operator Product Expansion for null polygonal Wilson loop in planar maximally supersymmetric Yang-Mills theory runs systematically in terms of multiparticle pentagon transitions which encode the physics of excitations propagating on the…

High Energy Physics - Theory · Physics 2018-03-14 A. V. Belitsky

We propose a dual Wilson loop description for the MHV super form factors of half-BPS operators in planar $\mathcal{N}=4$ super-Yang-Mills theory. In this description, the local operators are represented by on-shell states, made out of…

High Energy Physics - Theory · Physics 2024-05-24 Benjamin Basso , Alexander G. Tumanov

We discuss the origin of the Wilson polygon - MHV amplitude duality at the perturbative level. It is shown that the duality for the MHV amplitudes at one-loop level can be proven upon the peculiar change of variables in Feynman…

High Energy Physics - Theory · Physics 2010-12-17 A. Gorsky , A. Zhiboedov

We present the technique for resummation of flux tube excitations series arising in pentagon operator expansion program for polygonal Wilson loops in N=4 SYM. Here we restrict ourselves with contributions of one-particle effective states…

High Energy Physics - Theory · Physics 2020-07-08 L. V. Bork , A. I. Onishchenko

We extend the Operator Product Expansion for Null Polygon Wilson loops to the Mason-Skinner-Caron-Huot super loop, dual to non MHV gluon amplitudes. We explain how the known tree level amplitudes can be promoted into an infinite amount of…

High Energy Physics - Theory · Physics 2015-05-30 Amit Sever , Pedro Vieira , Tianheng Wang

We derive the two loop expressions for polygonal Wilson loops by starting from the one loop expressions and applying an operator product expansion. We do this for polygonal Wilson loops in R^{1,1} and find a result in agreement with…

High Energy Physics - Theory · Physics 2015-03-17 Davide Gaiotto , Juan Maldacena , Amit Sever , Pedro Vieira
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