scispace - formally typeset
Open AccessJournal ArticleDOI

One-Loop n-Point Gauge Theory Amplitudes, Unitarity and Collinear Limits

Reads0
Chats0
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.

read more

Citations
More filters
Journal ArticleDOI

Supersymmetric Yang-Mills and supergravity amplitudes at one loop

TL;DR: In this paper, the authors present generating functions for the next-next-to-maximally helicity violating (NNMHV) box coefficients of super Yang-Mills (SYM) and super gravity (SUGRA) tree amplitudes.
Journal ArticleDOI

Evaluation of multi-box diagrams in six dimensions

TL;DR: In this paper, a simple method which simplifies the evaluation of on-shell multiple box diagrams reducing them to triangle type ones is presented, which is valid in six dimensions where neither UV not IR divergences appear.
Journal ArticleDOI

New N = 4 supersymmetric Yang-Mills path integral

Chih-Hao Fu, +1 more
- 14 Dec 2010 - 
TL;DR: In this paper, the authors propose a path integral for the N = 4 supersymmetric Yang-Mills theory, which is based on the Lorentz-covariant spinor helicity formalism.
Posted Content

On-shell Methods for Form Factors in N=4 SYM and Their Applications

TL;DR: In this article, the authors provide a pedagogical introduction to on-shell amplitude techniques and generalize them to form factors, including tree-level form factor, Sudakov form factor and infrared singularity.
Journal ArticleDOI

Computation of multi-leg amplitudes with NJET

TL;DR: In this article, the authors report progress in the development of the publicly available C++ library NJet for accurate calculations of high-multiplicity one-loop amplitudes and present the first complete next-to-leading order (NLO) calculation of five jet cross section at hadron colliders.
References
More filters
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.
Related Papers (5)