One-Loop n-Point Gauge Theory Amplitudes, Unitarity and Collinear Limits
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In this paper, the authors presented a technique which utilizes unitarity and collinear limits to construct ansatze for one-loop amplitudes in gauge theory, and proved that their $N=4$ ansatz is correct using general properties of the relevant one-loops $n$-point integrals.Abstract:
We present a technique which utilizes unitarity and collinear limits to construct ansatze for one-loop amplitudes in gauge theory. As an example, we obtain the one-loop contribution to amplitudes for $n$ gluon scattering in $N=4$ supersymmetric Yang-Mills theory with the helicity configuration of the Parke-Taylor tree amplitudes. We prove that our $N=4$ ansatz is correct using general properties of the relevant one-loop $n$-point integrals. We also give the ``splitting amplitudes'' which govern the collinear behavior of one-loop helicity amplitudes in gauge theories.read more
Citations
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TL;DR: In this paper, the light-cone limit of correlation functions of a particular type of local scalar operators was shown to be dual to the tree-level amplitude if all of its points form a light-like polygon.
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TL;DR: In this article, the authors analyze the twistor space structure of certain one-loop amplitudes in gauge theory, and they find decompositions that make the twistedor structure manifest; for others, they explore the twistors space structure by finding differential equations that the amplitudes obey.
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References
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