N=1 Supersymmetric One-loop Amplitudes and the Holomorphic Anomaly of Unitarity Cuts

Details N=1 Supersymmetric One-loop Amplitudes and the Holomorphic Anomaly of Unitarity Cuts N=1 Supersymmetric One-loop Amplitudes and the Holomorphic Anomaly of Unitarity Cuts

2004-10-29

arxiv.org/abs/hep-th/0410296v2

Phys.Lett.B606:189-201,2005

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, typos corrected

Scientific paper

10.1016/j.physletb.2004.11.073

Recently, it has been shown that the holomorphic anomaly of unitarity cuts can be used as a tool in determining the one-loop amplitudes in N=4 super Yang-Mills theory. It is interesting to examine whether this method can be applied to more general cases. We present results for a non-MHV N=1 supersymmetric one-loop amplitude. We show that the holomorphic anomaly of each unitarity cut correctly reproduces the action on the amplitude's imaginary part of the differential operators corresponding to collinearity in twistor space. We find that the use of the holomorphic anomaly to evaluate the amplitude requires the solution of differential rather than algebraic equations.

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