Eliminating spurious poles from gauge-theoretic amplitudes

Abstract

This note addresses the problem of spurious poles in gauge-theoretic scattering amplitudes. New twistor coordinates for the momenta are introduced, based on the concept of dual conformal invariance. The cancellation of spurious poles for a class of NMHV amplitudes is greatly simplified in these coordinates. The poles are eliminated altogether by defining a new type of twistor integral, dual to twistor diagrams as previously studied, and considerably simpler. The geometric features indicate a supersymmetric extension of the formalism at least to all NMHV amplitudes, allowing the dihedral symmetry of the super-amplitude to be made manifest. More generally, the definition of `momentum-twistor' coordinates suggests a powerful new approach to the study of scattering amplitudes.

28 pages, 5 figures

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• The super-correlator/super-amplitude duality: Part I
• Unification of Residues and Grassmannian Dualities
• More on Soft Theorems: Trees, Loops and Strings
• Positive Amplitudes In The Amplituhedron
• The Yangian origin of the Grassmannian integral
• Yangians, Grassmannians and T-duality
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• Dual Conformal Properties of Six-Dimensional Maximal Super Yang-Mills Amplitudes
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• Y-system for form factors at strong coupling in AdS5 and with multi-operator insertions in AdS3
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• From the Holomorphic Wilson Loop to `d log' Loop-Integrands of Super-Yang-Mills Amplitudes
• Susy Theories and QCD: Numerical Approaches
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• Non-Chiral S-Matrix of N=4 Super Yang-Mills
• The orthogonal momentum amplituhedron and ABJM amplitudes
• Bootstrapping six-gluon scattering in planar $\mathcal{N}=4$ super-Yang-Mills theory
• Dual-Conformal Regularization of Infrared Loop Divergences and the Chiral Box Expansion
• On the Classification of Residues of the Grassmannian
• Collinear and Soft Limits of Multi-Loop Integrands in N=4 Yang-Mills
• New expressions for gravitational scattering amplitudes
• Yangian in the Twistor String
• The four-loop six-gluon NMHV ratio function
• A Note on Dual MHV Diagrams in N=4 SYM
• Applications of Subleading-color Amplitudes in N=4 SYM Theory
• Integration-by-parts identities from the viewpoint of differential geometry
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