A simple collinear limit of scattering amplitudes at strong coupling

Abstract

Collinear limit usually provides strong constraints for scattering amplitudes. At strong coupling, collinear limit of the amplitudes in N=4 SYM is related to the large mass limit of the corresponding Y system. In this paper, we consider a special case in which all mass parameters are taken to be large, which corresponds to a multi-double-collinear limit in which a n-side polygon becomes pentagons. This limit provides a useful constraint for amplitudes, in particular, can be used to fix the periods part for the case of 4K gluons, which is the last missing piece of full amplitudes.

v3: 22 pages, comments and a new subsection 5.1 added, typos fixed

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Cited by in corpus (17)

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• The Cosmic Galois Group and Extended Steinmann Relations for Planar $\mathcal{N}=4$ SYM Amplitudes
• Y-system for form factors at strong coupling in AdS5 and with multi-operator insertions in AdS3
• How tropical are seven- and eight-particle amplitudes?
• Folding Amplitudes into Form Factors: An Antipodal Duality
• Bootstrapping a Stress-Tensor Form Factor through Eight Loops
• Singularities of eight- and nine-particle amplitudes from cluster algebras and tropical geometry
• The Sklyanin Bracket and Cluster Adjacency at All Multiplicity
• Cluster Algebras and the Subalgebra Constructibility of the Seven-Particle Remainder Function
• Multi-Regge Limit of the n-Gluon Bubble Ansatz
• Algebraic branch points at all loop orders from positive kinematics and wall crossing
• The Two-Loop Remainder Function for Eight and Nine Particles
• Null-polygonal minimal surfaces in AdS_4 from perturbed W minimal models
• The SAGEX Review on Scattering Amplitudes, Chapter 5: Analytic Bootstraps for Scattering Amplitudes and Beyond
• Antipodal Symmetry of Two-Loop MHV Amplitudes
• Exploring Reggeon bound states in strongly-coupled $\mathcal{N}=4$ super Yang-Mills
• A short review on TBA equation and scattering amplitude/Wilson loop duality