MHV vertices and tree amplitudes in gauge theory

  title={MHV vertices and tree amplitudes in gauge theory},
  author={Freddy Cachazo and Peter Svr{\vc}ek and Edward Witten},
  journal={Journal of High Energy Physics},
As an alternative to the usual Feynman graphs, tree amplitudes in Yang-Mills theory can be constructed from tree graphs in which the vertices are tree level MHV scattering amplitudes, continued off shell in a particular fashion. The formalism leads to new and relatively simple formulas for many amplitudes, and can be heuristically derived from twistor space. 

Gauge Theory Amplitudes, Scalar Graphs and Twistor Space

We discuss a remarkable new approach initiated by Cachazo, Svrcek and Witten for calculating gauge theory amplitudes. The formalism amounts to an effective scalar perturbation theory which in many

One-loop MHV amplitudes in supersymmetric gauge theories

Using CSW rules for constructing scalar Feynman diagrams from MHV vertices, we compute the contribution of = 1 chiral multiplet to one-loop MHV gluon amplitude. The result agrees with the one

All split helicity tree-level gluon amplitudes

Recently a new recursion relation for tree-level gluon amplitudes in gauge theory has been discovered. We solve this recursion to obtain explicit formulas for the closed set of amplitudes with

Tree and Loop Amplitudes in Open Twistor String Theory

We compute the one-loop gluon amplitude for the open twistor string model of Berkovits, using a symmetric form of the vertex operators. We discuss the classical solutions in various topologies and

The googly amplitudes in gauge theory

The googly amplitudes in gauge theory are computed by using the off shell MHV vertices with the newly proposed rules of Cachazo, Svrcek and Witten. The result is in agreement with the previously

Recursion relations for tree amplitudes in super gauge theories

Using newly proposed recursion relations in [25], [26], compact formulas are obtained for tree-level amplitudes of g1−g2−g3− We then make an extension of these recursion relations to

Loop amplitudes in gauge theories: modern analytic approaches

This article reviews on-shell methods for analytic computation of loop amplitudes, emphasizing techniques based on unitarity cuts. Unitarity techniques are formulated generally but have been

Recursion relations for gauge theory amplitudes with massive particles.

We derive general tree-level recursion relations for amplitudes which include massive propagating particles. As an illustration, we apply these recursion relations to scattering amplitudes of gluons