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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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Journal ArticleDOI

Monodromy and Jacobi-like relations for color-ordered amplitudes

TL;DR: In this article, the Jacobi-like relations of Bern, Carrasco and Johansson can be introduced in a manner that is compatible with these monodromy relations and explicitly show how the tree-level relations give rise to non-trivial identities at loop level.
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Hepta-cuts of two-loop scattering amplitudes

TL;DR: In this paper, a method for the computation of hepta-cuts of two loop scattering amplitudes is presented, where four dimensional unitarity cuts are used to factorise the integrand onto the product of six tree-level amplitudes evaluated at complex momentum values.
Journal ArticleDOI

A Twistor approach to one-loop amplitudes in N=1 supersymmetric Yang-Mills theory

TL;DR: In this paper, the authors extended the twistor string theory inspired formalism introduced in hep-th/0407214 for calculating loop amplitudes in N = 4 super-Yang-Mills theory to the case of N = 1 (and N = 2 ) superYang−Mills.
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Les Houches 2015: Physics at TeV Colliders Standard Model Working Group Report

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Neutralino annihilation into two photons

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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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