# Eliminating spurious poles from gauge-theoretic amplitudes

@article{Hodges2009EliminatingSP,
title={Eliminating spurious poles from gauge-theoretic amplitudes},
author={Andrew P. Hodges},
journal={Journal of High Energy Physics},
year={2009},
volume={2013},
pages={1-23}
}
• A. Hodges
• Published 11 May 2009
• Physics
• Journal of High Energy Physics
A bstractThis 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…
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## References

SHOWING 1-10 OF 26 REFERENCES

### New expressions for gravitational scattering amplitudes

A bstractNew methods are introduced for evaluating tree-level gravitational scattering amplitudes. A new N=7 super-symmetric recursion yields amplitudes free from the spurious double poles of the N=8

### Scattering amplitudes and BCFW recursion in twistor space

• Mathematics
• 2009
Twistor ideas have led to a number of recent advances in our understanding of scattering amplitudes. Much of this work has been indirect, determining the twistor space support of scattering

### Perturbative Gauge Theory as a String Theory in Twistor Space

Perturbative scattering amplitudes in Yang-Mills theory have many unexpected properties, such as holomorphy of the maximally helicity violating amplitudes. To interpret these results, we Fourier

### Dual superconformal invariance, momentum twistors and Grassmannians

• Physics
• 2009
Dual superconformal invariance has recently emerged as a hidden symmetry of planar scattering amplitudes in = 4 super Yang-Mills theory. This symmetry can be made manifest by expressing amplitudes in

### A twistor approach to the regularization of divergences

• A. Hodges
• Physics
Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences
• 1985
One object of the twistor programme, as developed principally by R. Penrose, is the production of a manifestly finite theory of scattering in quantum field theory. Earlier work has shown that

### The all-loop integrand for scattering amplitudes in planar $\mathcal{N} = 4$ SYM

• Mathematics
• 2010
We give an explicit recursive formula for the all ℓ-loop integrand for scattering amplitudes in $\mathcal{N} = 4$ SYM in the planar limit, manifesting the full Yangian symmetry of the theory. This

### The Grassmannian origin of dual superconformal invariance

• Mathematics, Physics
• 2010
A dual formulation of the S Matrix for $$\mathcal {N}$$ = 4 SYM has recently been presented, where all leading singularities of n-particle Nk−2MHV amplitudes are given as an integral over the

### Twistor diagrams for all tree amplitudes in gauge theory: a helicity-independent formalism

We give a new formalism for pure gauge-theoretic scattering at tree-amplitude level. We first describe a generalization of the Britto-Cachazo-Feng recursion relation in which a significant

### A Note on dual superconformal symmetry of the N=4 super Yang-Mills S-matrix

• Mathematics, Physics
• 2008
We present a supersymmetric recursion relation for tree-level scattering amplitudes in N=4 super Yang-Mills. Using this recursion relation, we prove that the tree-level S matrix of the maximally