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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One-loop corrections to two-quark three-gluon amplitudes☆☆☆
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Perturbative Quantum Gravity and its Relation to Gauge Theory
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On the Rational Terms of the one-loop amplitudes
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Double unresolved approximations to multiparton scattering amplitudes
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Factorization in one loop gauge theory
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TL;DR: In this paper, it was shown that factorization in one-loop theories is described by a set of universal functions, and a proof of the universality of the splitting functions as the momenta of two particles become collinear is presented.
References
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