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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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Natural boundaries for scattering amplitudes

Sebastian Mizera
- 20 Oct 2022 - 
TL;DR: In this article , it was shown that 2 \to 22→2 scattering amplitudes have a natural boundary on the second sheet of the lightest threshold cut, where an infinite number of ladder-type Landau singularities densely accumulates on the real axis in the center-of-mass energy plane.
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Expansion of EYM Amplitudes in Gauge Invariant Vector Space

TL;DR: In this article, a generic vector space consisting of polynomials of momenta and polarization vectors is defined as a gauge invariant vector space by imposing constraints of gauge invariants.
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Effective Field Theory islands from perturbative and nonperturbative four-graviton amplitudes

TL;DR: In this article , the authors show that the low-energy EFT coefficients lie on small islands, which are the same islands identified using four-dimensional perturbative models based on string theory and minimally-coupled matter circulating a loop.
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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