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One-loop \(n\)-point gauge theory amplitudes, unitarity and collinear limits. (English) Zbl 1049.81644
Summary: We present a technique which utilizes unitarity and collinear limits to construct ansätze 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.

MSC:
81T60 Supersymmetric field theories in quantum mechanics
81T15 Perturbative methods of renormalization applied to problems in quantum field theory
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