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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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Multi-gluon one-loop amplitudes using tensor integrals

TL;DR: In this paper, an efficient numerical algorithm to evaluate one-loop amplitudes using tensor integrals is presented, and it is shown by explicit calculations that for ordered QCD amplitudes with a number of external legs up to 10, its performance is competitive with other methods.
Journal ArticleDOI

Two-loop master integrals with the simplified differential equations approach

TL;DR: In this paper, the authors calculate the complete set of two-loop master integral with two off massshell legs with massless internal propagators, that contribute to amplitudes of diboson V 1 and V 2 production at the LHC.
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One-Loop Amplitudes in N=4 Super Yang-Mills and Anomalous Dual Conformal Symmetry

TL;DR: In particular, this paper showed that all one-loop supercoefficients can be expressed as linear combinations of three-mass box coefficients and a particular symmetric combination of two-mass hard coefficients.
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One-loop phi-MHV amplitudes using the unitarity bootstrap: the general helicity case

TL;DR: In this article, the authors considered a Higgs boson coupled to gluons via the five-dimensional effective operator HtrGμνγμνGμπν.
Journal ArticleDOI

Collinear Limits in QCD from MHV Rules

TL;DR: In this article, the authors consider multi-parton collinear limits of QCD amplitudes at tree level using the MHV formalism and derive general results for these splitting functions that are valid for specific numbers of negative helicity partons and an arbitrary number of positive partons.
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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