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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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Comparison of post-Minkowskian and self-force expansions: Scattering in a scalar charge toy model

TL;DR: In this article , the authors compare numerical self-force results and analytical fourth-order post-Minkowskian (PM) calculations for hyperbolic-type scattering of a point-like particle carrying a scalar charge $Q$ off a Schwarzschild black hole.
Journal ArticleDOI

Radiative Corrections for the LHC and Linear Collider Era

TL;DR: In this paper, the importance of including radiative corrections when extracting physics from colliders such as the Tevatron Run II at Fermilab, the Large Hadron Collider (LHC) at CERN, and a future linear collider (LC) was emphasized.

Solving Scattering in N=4 Super-Yang-Mills Theory

TL;DR: In this paper , the authors highlight an ongoing program of research into the structure of scattering amplitudes in N = 4 super-Yang-Mills theory, particularly in the planar limit of a large number of colors.
DissertationDOI

Scattering in N=4 super Yang Mills and N=8 supergravity

TL;DR: In this article, the amplituhedron geometry has been extended to the non-planar sector of N = 4 super-Yang-Mills theory, where the singularity structures of planar and nonplanar integrands are similar.
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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