Scattering amplitudes and BCFW recursion in twistor space

@article{Mason2009ScatteringAA,
  title={Scattering amplitudes and BCFW recursion in twistor space},
  author={Lionel Mason and David Skinner},
  journal={Journal of High Energy Physics},
  year={2009},
  volume={2010},
  pages={1-66}
}
Twistor ideas have led to a number of recent advances in our understanding of scattering amplitudes. Much of this work has been indirect, determining the twistor space support of scattering amplitudes by examining the amplitudes in momentum space. In this paper, we construct the actual twistor scattering amplitudes themselves. We show that the recursion relations of Britto, Cachazo, Feng and Witten have a natural twistor formulation that, together with the three-point seed amplitudes, allows us… 

Scattering amplitudes and Wilson loops in twistor space

This paper reviews the recent progress in twistor approaches to Wilson loops, amplitudes and their duality for super-Yang–Mills. Wilson loops and amplitudes are derived from first principles using

Recursion and worldsheet formulae for 6d superamplitudes

Recently two of the authors presented a spinorial extension of the scattering equations, the `polarized scattering equations' that incorporates spinor polarization data. These led to new worldsheet

MHV diagrams in twistor space and the twistor action

MHV diagrams give an efficient Feynman diagram-like formalism for calculating gauge theory scattering amplitudes on momentum space. Although they arise as the Feynman diagrams from an action on

The S-matrix in twistor space

The marvelous simplicity and remarkable hidden symmetries recently uncovered in (Super) Yang-Mills and (Super)Gravity scattering amplitudes strongly suggests the existence of a “weak-weak” dual

Maximally helicity-violating diagrams in twistor space and the twistor action

MHV diagrams give an efficient Feynman diagram-like formalism for calculating gauge theory scattering amplitudes on momentum space. Although they arise as the Feynman diagrams from an action on

Twistor theory at fifty: from contour integrals to twistor strings

The Newtonian limit of twistor theory is discussed and its possible role in Penrose’s proposal for a role of gravity in quantum collapse of a wave function is discussed.

Local spacetime physics from the Grassmannian

A duality has recently been conjectured between all leading singularities of n-particle Nk−2MHV scattering amplitudes in $ \mathcal{N} = 4 $ SYM and the residues of a contour integral with a natural

Unification of residues and Grassmannian dualities

The conjectured duality relating all-loop leading singularities of n-particle Nk−2MHV scattering amplitudes in $$ \mathcal{N} = 4 $$ SYM to a simple contour integral over the Grassmannian G(k, n)

MHV diagrams in momentum twistor space

We show that there are remarkable simplifications when the MHV diagram formalism for $ \mathcal{N} = 4 $ super Yang-Mills is reformulated in momentum twistor space. The vertices are replaced by unity
...

References

SHOWING 1-10 OF 115 REFERENCES

The S-matrix in twistor space

The marvelous simplicity and remarkable hidden symmetries recently uncovered in (Super) Yang-Mills and (Super)Gravity scattering amplitudes strongly suggests the existence of a “weak-weak” dual

Gravity, Twistors and the MHV Formalism

We give a self-contained proof of the formula for the MHV amplitudes for gravity conjectured by Berends, Giele & Kuijf and use the associated twistor generating function to define a twistor action

Twistor-strings, Grassmannians and leading singularities

We derive a systematic procedure for obtaining explicit, ℓ-loop leading singularities of planar $$ \mathcal{N} $$ = 4 super Yang-Mills scattering amplitudes in twistor space directly from their

Dual superconformal symmetry of scattering amplitudes in N=4 super-Yang-Mills theory

What is the simplest quantum field theory?

Conventional wisdom says that the simpler the Lagrangian of a theory the simpler its perturbation theory. An ever-increasing understanding of the structure of scattering amplitudes has however been

Twistor transform of all tree amplitudes in N=4 SYM theory

Taming tree amplitudes in general relativity

We give a proof of BCFW recursion relations for all tree-level amplitudes of gravitons in General Relativity. The proof follows the same basic steps as in the BCFW construction and it is an extension

Dual superconformal invariance, momentum twistors and Grassmannians

Dual superconformal invariance has recently emerged as a hidden symmetry of planar scattering amplitudes in = 4 super Yang-Mills theory. This symmetry can be made manifest by expressing amplitudes in

A super MHV vertex expansion for = 4 SYM theory

We present a supersymmetric generalization of the MHV vertex expansion for all tree amplitudes in = 4 SYM theory. In addition to the choice of a reference spinor, this super MHV vertex expansion also

On the structure of scattering amplitudes in N=4 super Yang-Mills and N=8 supergravity

Exploiting singularities in Feynman integrals to get information about scattering amplitudes has been particularly useful at one-loop in theories where no triangles or bubbles appear. At higher loops
...