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Eliminating spurious poles from gauge-theoretic amplitudes

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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.

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  1. Mathematical Institute, 24-29 St Giles, Oxford, OX1 3LB, U.K.

    Andrew Hodges

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  1. Andrew Hodges
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Correspondence to Andrew Hodges.

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ArXiv ePrint: 0905.1473

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Hodges, A. Eliminating spurious poles from gauge-theoretic amplitudes. J. High Energ. Phys. 2013, 135 (2013). https://doi.org/10.1007/JHEP05(2013)135

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  • DOI: https://doi.org/10.1007/JHEP05(2013)135

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