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

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

2004-10-28

arxiv.org/abs/hep-th/0410280v1

Nucl.Phys.B706:100-126,2005

Physics

High Energy Physics

High Energy Physics - Theory

31 pages, 6 figures

Scientific paper

10.1016/j.nuclphysb.2004.11.031

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.

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