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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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Expectations at LHC from hard QCD

S Moch
- 14 May 2008 - 
TL;DR: The status of QCD at hadron colliders with emphasis on precision predictions and the latest theoretical developments for cross-section calculations to higher orders is reviewed in this article, where an overview of current information on parton distributions and discuss various Standard Model reactions such as W±/Z-boson, Higgs boson or top quark production.
Journal ArticleDOI

A unitarity compatible approach to one-loop amplitudes with massive fermions

TL;DR: In this article, the spinor-helicity formalism was used to compute one-loop amplitudes with massive fermions using only on-shell information and showed that divergent wavefunction cuts can be avoided, and the remaining ambiguities in the renormalised amplitudes can be fixed.
Journal ArticleDOI

CFT Unitarity and the AdS Cutkosky Rules

TL;DR: In this article, the authors derived Cutkosky rules for conformal field theories (CFTs) at weak and strong coupling, and showed that these rules are consistent with the OPE limit and recover the S-matrix optical theorem in the flat space limit.
Journal Article

Effective Field Theories for the LHC

TL;DR: In this paper, the authors studied applications of effective field theories to understand aspects of QCD jets and their substructure at the Large Hadron Collider, and introduced an observable, $D_2, which can be used for distinguishing boosted $W/Z/H$ bosons from the QCD background using information about the radiation pattern within the jet, and performed a precision calculation of this observable.
Journal ArticleDOI

Two-loop n-point anomalous amplitudes in N=4 supergravity

TL;DR: In this article, the anomalous two-loop four-point amplitudes in pure supergravity were computed using unitarity and double-copy construction, and all terms determined by four-dimensional cuts in the graph were determined.
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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