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
E7(7) constraints on counterterms in N=8 supergravity
Niklas Beisert,Henriette Elvang,Henriette Elvang,Daniel Z. Freedman,Michael Kiermaier,Alejandro H. Morales,Stephan Stieberger +6 more
TL;DR: In this article, it was shown that the 6-point matrix elements of D 4 R 4 and D 6 R 4 in N = 8 supergravity have non-vanishing single-soft scalar limits, and therefore these operators violate the continuous E 7 ( 7 ) symmetry.
Journal ArticleDOI
Infrared Structure at NNLO Using Antenna Subtraction
TL;DR: In this paper, the authors considered the IR structure of hadron-hadron collisions at next-to-next-to leading order using the antenna subtraction method and derived the master expressions analogous to Catani's one-and two-loop factorisation formulae.
Journal ArticleDOI
Integrand reduction of one-loop scattering amplitudes through Laurent series expansion
TL;DR: In this article, a semi-analytic method for the integrand reduction of one-loop amplitudes is presented, based on the systematic application of the Laurent expansions to integrand-decomposition.
Journal ArticleDOI
Non-supersymmetric loop amplitudes and MHV vertices
TL;DR: In this article, the authors derived a compact expression for the cut-constructible part of the general one-loop MHV multi-gluon scattering amplitude in pure Yang-Mills theory.
Next-to-leading order QCD predictions for W+3-jet distributions at hadron colliders
Carola F. Berger,Zvi Bern,Lance J. Dixon,F. Febres Cordero,D. Forde,Tanju Gleisberg,H. Ita,D. A. Kosower,D. Maitre +8 more
TL;DR: In this article, the authors proposed a contract with the U.S. Department of Energy (U.S., DE-FG03-91ER40662, DE-AC02- 76SF00515, and DE-FC02-94ER40818)
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
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
Dilogarithms and Associated Functions. By L. Lewin. Pp. xvi, 353. 65s. 1958. (Macdonald)
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
Zvi Bern,David A. Kosower +1 more
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.