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
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Perturbative Quantum Gravity as a Double Copy of Gauge Theory
TL;DR: It is conjecture that this duality persists to all quantum loop orders and can thus be used to obtain multiloop gravity amplitudes easily from gauge-theory ones.
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Generalized unitarity and one-loop amplitudes in N=4 super-Yang-Mills
TL;DR: For scalar box functions with at least one massless external leg, the authors showed that the coefficients can also be obtained from quadruple cuts, which are not useful in Minkowski signature.
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Dual superconformal symmetry of scattering amplitudes in N=4 super-Yang-Mills theory
TL;DR: In this paper, it was shown that all scattering amplitudes in the maximally supersymmetric N = 4 super-Yang-Mills theory possess dual superconformal symmetry.
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MHV amplitudes in N=4 super Yang-Mills and Wilson loops
TL;DR: For one-loop MHV amplitudes with an arbitrary number of external legs this universal function can be derived using Wilson loops as mentioned in this paper, which is in precise agreement with the known expression for the infinite sequence of MHV amplitude in N = 4 super-Yang-Mills.
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What is the simplest quantum field theory
TL;DR: In this article, the S-matrix structure of tree amplitudes has been studied in terms of a dual formulation of QFT, and it has been shown that the amplitudes of tree theories can be determined by recursion relations.
References
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Efficient calculation of one-loop QCD amplitudes
Zvi Bern,David A. Kosower +1 more
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