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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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Two-Loop Scattering Amplitudes: Double-Forward Limit and Colour-Kinematics Duality

TL;DR: In this paper, the two-loop n-point D-dimensional integrands of scattering amplitudes in Yang-Mills theory and gravity are modeled as tree-level trivalent diagrams.
Journal ArticleDOI

On the low-energy limit of one-loop photon–graviton amplitudes

TL;DR: In this article, the structure of the low energy limit of the one-loop photon-graviton amplitudes induced by massive scalars and spinors was studied and the main objective was the search of KLT-type relations where effectively two photons merge into a graviton.
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Numerical multi-loop integrals and applications

TL;DR: A survey of numerical loop integration techniques for higher-order radiative corrections of the electroweak and Higgs sectors can be found in this article, where numerical methods were used for obtaining full two-loop predictions for the most important precision observables within the Standard Model.
Journal ArticleDOI

Graviton bending in quantum gravity from one-loop amplitudes

Huan-Hang Chi
- 14 Jun 2019 - 
TL;DR: In this paper, the bending angles of gravitons passing near a massive object like the Sun were studied using scattering amplitudes in which the Sun is represented by a massive scalar particle.
Journal ArticleDOI

Classical potential for general spinning bodies

TL;DR: In this paper, the spin-dependent terms of the gravitational potential for general spinning bodies at the leading Newton's constant $G$ and to all orders in spin were computed using the on-shell approach, which extracts the classical potential directly from the scattering amplitude.
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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