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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Recola2: REcursive Computation of One-Loop Amplitudes 2
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TL;DR: In this article, an algorithm based on the OPP reduction method was proposed to automatically compute any one-loop amplitude, for all momentum, color and helicity configurations of the external particles.
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Scattering amplitudes from unitarity-based reduction algorithm at the integrand-level
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References
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Zvi Bern,David A. Kosower +1 more
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