A Twistor Approach to One-Loop Amplitudes in N =1 Supersymmetric Yang-Mills Theory

Abstract

We extend the twistor string theory inspired formalism introduced in hep-th/0407214 for calculating loop amplitudes in N =4 super Yang-Mills theory to the case of N =1 (and N =2) super Yang-Mills. Our approach yields a novel representation of the gauge theory amplitudes as dispersion integrals, which are surprisingly simple to evaluate. As an application we calculate one-loop maximally helicity violating (MHV) scattering amplitudes with an arbitrary number of external legs. The result we obtain agrees precisely with the expressions for the N = 1 MHV amplitudes derived previously by Bern, Dixon, Dunbar and Kosower using the cut-constructibility approach. {j.a.p.bedford, a.brandhuber, w.j.spence, g.travaglini}@qmul.ac.uk

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Cite this paper

@inproceedings{Bedford2004ATA, title={A Twistor Approach to One-Loop Amplitudes in N =1 Supersymmetric Yang-Mills Theory}, author={James L. Bedford and Andreas Brandhuber and Gabriele Travaglini}, year={2004} }