# Sudakov representation of the Cachazo-He-Yuan scattering equations formalism

@article{Chachamis2017SudakovRO, title={Sudakov representation of the Cachazo-He-Yuan scattering equations formalism}, author={Grigorios Chachamis and Diego Medrano Jim{\'e}nez and Agust́ın Sabio Vera and Miguel Angel Vazquez-Mozo}, journal={Journal of High Energy Physics}, year={2017}, volume={2018}, pages={1-26} }

A bstractWe show that the use of Sudakov variables greatly simplifies the study of the solutions to the scattering equations in the Cachazo-He-Yuan formalism. We work in the center-of-mass frame for the two incoming particles, which partially fixes the SL(2, ℂ) redundancy in the integrand defining the scattering amplitudes, the remaining freedom translates into a global shift in the azimuthal angle of the outgoing particles. Studying four- and five-particle amplitudes, we see how an appropriate… Expand

#### One Citation

High-energy scattering amplitudes in QED, QCD and supergravity

- Physics
- 2020

This is a personal recollection of several results related to the study of the high energy limit of scattering amplitudes in gravitational theories. They would not have been possible without the… Expand

#### References

SHOWING 1-10 OF 53 REFERENCES

Integration rules for scattering equations

- Physics
- 2015

A bstractAs described by Cachazo, He and Yuan, scattering amplitudes in many quantum field theories can be represented as integrals that are fully localized on solutions to the so-called scattering… Expand

Infrared behaviour of the one-loop scattering equations and supergravity integrands

- Physics
- 2014

A bstractThe recently introduced ambitwistor string led to a striking proposal for one-loop maximal supergravity amplitudes, localised on the solutions of the ambitwistor one-loop scattering… Expand

Ambitwistor strings and the scattering equations

- Physics
- 2014

A bstractWe show that string theories admit chiral infinite tension analogues in which only the massless parts of the spectrum survive. Geometrically they describe holomorphic maps to spaces of… Expand

A gluing operator for the ambitwistor string

- Mathematics, Physics
- 2017

A bstractWe present a new operator in the ambitwistor string which glues together correlators with fewer points or of lower genus. It underpins the recursive construction of tree-level CHY scattering… Expand

The double copy structure of soft gravitons

- Physics
- 2015

A bstractThe subleading corrections to factorization theorems for soft bremsstrahlung in nonabelian gauge theories and gravity are investigated in the case of a five point amplitude with four… Expand

Scattering equations, supergravity integrands, and pure spinors

- Physics
- 2015

A bstractThe tree-level S-matrix of type II supergravity can be computed in scattering equation form by correlators in a worldsheet theory analogous to a chiral, infinite tension limit of the pure… Expand

The kinematic algebras from the scattering equations

- Physics
- 2014

A bstractWe study kinematic algebras associated to the recently proposed scattering equations, which arise in the description of the scattering of massless particles. In particular, we describe the… Expand

General solution of the scattering equations

- Physics
- 2015

A bstractThe scattering equations, originally introduced by Fairlie and Roberts in 1972 and more recently shown by Cachazo, He and Yuan to provide a kinematic basis for describing tree amplitudes for… Expand

Scattering equations, generating functions and all massless five point tree amplitudes

- Physics
- 2015

A bstractWe argue that one does not need to know the explicit solutions of the scattering equations in order to evaluate a given amplitude. We consider the most general quantity consistent with SL(2,… Expand

The polynomial form of the scattering equations

- Physics
- 2014

A bstractThe scattering equations, recently proposed by Cachazo, He and Yuan as providing a kinematic basis for describing tree amplitudes for massless particles in arbitrary space-time dimension… Expand