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Article
Report number	arXiv:1407.4724 ; SLAC-PUB-16008
Title	Bootstrapping six-gluon scattering in planar ${\cal N}=4$ super-Yang-Mills theory
Author(s)	Dixon, Lance J (SLAC) ; Drummond, James M (Annecy, LAPTH ; CERN ; Southampton U.) ; Duhr, Claude (Durham U., IPPP) ; von Hippel, Matt (SUNY, Stony Brook) ; Pennington, Jeffrey (SLAC)
Publication	2014
Imprint	17 Jul 2014
Number of pages	15
Note	Comments: 15 pages, 3 figures, 2 tables; contribution to the proceedings of Loops and Legs in Quantum Field Theory, 27 April - 2 May 2014, Weimar, Germany
In:	PoS LL2014 (2014) 077
In:	12th DESY Workshop on Elementary Particle Physics: Loops and Legs in Quantum Field Theory, Weimar, Germany, 27 Apr - 2 May 2014, pp.077
DOI	10.22323/1.211.0077
Subject category	hep-th
Abstract	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 the level of amplitudes, not integrands, using boundary information. In the near-collinear limit, the dual picture of the amplitudes as Wilson loops leads to an operator product expansion which has been solved using integrability by Basso, Sever and Vieira. Factorization of the amplitudes in the multi-Regge limit provides additional boundary data. This bootstrap has been applied successfully through four loops for the maximally helicity violating (MHV) configuration of gluon helicities, and through three loops for the non-MHV case.
Copyright/License	publication: © 2014-2025 The Author(s) (License: CC-BY-NC-SA-4.0)

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