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One-Loop n-Point Gauge Theory Amplitudes, Unitarity and Collinear Limits

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TLDR
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.

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Analytic structure of three-mass triangle coefficients

TL;DR: In this paper, the complex analytic properties and singularity structures of these amplitudes can be combined with generalised unitarity techniques to produce compact expressions for three-mass triangle coefficients.
Journal ArticleDOI

Gravity as the square of gauge theory: a review

TL;DR: In this article, the authors review the manifold incarnations and facets of the notion that gravity, in certain regards, can be re-conceived as the product of two gauge theories, focusing on the Bern-Carrasco-Johansson colour-kinematic duality and double-copy construction of gravitational amplitudes from gauge amplitudes.
Journal ArticleDOI

One-loop MHV Rules and Pure Yang-Mills

TL;DR: In this paper, it was shown that a simple one-loop, two-point counterterm is the generating function for the infinite sequence of all-plus helicity amplitudes in pure Yang-Mills, in complete agreement with known expressions.
Journal ArticleDOI

Simplicity of polygon Wilson loops in \mathcal{N} = 4 SYM

TL;DR: In this article, it was shown that the remainder function of the ABDK/BDS ansatz is linear in n at large n through numerical computations performed up to n = 30.
Journal ArticleDOI

Weakly Renormalized Near 1/16 SUSY Fermi Liquid Operators in N = 4 SYM

TL;DR: In this article, a class of Fermi Liquid Operators in N = 4 SYM were discussed, and it was shown that these operators are eigenstates of the full quantum dilatation operator.
References
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Journal ArticleDOI

Amplitude for n-gluon scattering.

TL;DR: A nontrivial squared helicity amplitude is given for the scattering of an arbitrary number of gluons to lowest order in the coupling constant and to leading order inThe number of colors.
Journal ArticleDOI

On analytic properties of vertex parts in quantum field theory

L.D. Landau
- 01 Oct 1959 - 
TL;DR: In this paper, a general method of finding the singularities of quantum field theory values on the basis of graph techniques is described, and a graph-based approach is used to find the singularity of quantum fields.
Journal ArticleDOI

One-loop corrections to five-gluon amplitudes.

TL;DR: This work presents the one-loop helicity amplitudes with five external gluons, a computation that employs string-based methods, new techniques for performing tensor integrals, and improvements in the spinor helicity method.
Journal ArticleDOI

Efficient calculation of one-loop QCD amplitudes

TL;DR: The outline of a new and efficient technique for the calculation of loop amplitudes in a gauge theory based on the technology of four-dimensional heterotic strings is presented, which finds complete agreement with the previous Feynman-diagram calculation of Ellis and Sexton.
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