Scattering of massless particles: scalars, gluons and gravitons

@article{Cachazo2013ScatteringOM,
  title={Scattering of massless particles: scalars, gluons and gravitons},
  author={Freddy Cachazo and Song He and Ellis Ye Yuan},
  journal={Journal of High Energy Physics},
  year={2013},
  volume={2014},
  pages={1-33}
}
A bstractIn a recent note we presented a compact formula for the complete tree-level S-matrix of pure Yang-Mills and gravity theories in arbitrary spacetime dimension. In this paper we show that a natural formulation also exists for a massless colored cubic scalar theory. In Yang-Mills, the formula is an integral over the space of n marked points on a sphere and has as integrand two factors. The first factor is a combination of Parke-Taylor-like terms dressed with U(N ) color structures while… 

Scattering equations and matrices: from Einstein to Yang-Mills, DBI and NLSM

A bstractThe tree-level S-matrix of Einstein’s theory is known to have a representation as an integral over the moduli space of punctured spheres localized to the solutions of the scattering

Connected formulas for amplitudes in standard model

A bstractWitten’s twistor string theory has led to new representations of S-matrix in massless QFT as a single object, including Cachazo-He-Yuan formulas in general and connected formulas in four

Pure gravities via color-kinematics duality for fundamental matter

A bstractWe give a prescription for the computation of loop-level scattering amplitudes in pure Einstein gravity, and four-dimensional pure supergravities, using the color-kinematics duality.

Scattering equations in AdS: scalar correlators in arbitrary dimensions

We introduce a bosonic ambitwistor string theory in AdS space. Even though the theory is anomalous at the quantum level, one can nevertheless use it in the classical limit to derive a novel formula

Fermions and the scattering equations

A bstractThis paper investigates how tree-level amplitudes with massless quarks, gluons and/or massless scalars transforming under a single copy of the gauge group can be expressed in the context of

One-loop amplitudes on the Riemann sphere

A bstractThe scattering equations provide a powerful framework for the study of scattering amplitudes in a variety of theories. Their derivation from ambitwistor string theory led to proposals for

Amplitudes for massive vector and scalar bosons in spontaneously-broken gauge theory from the CHY representation

A bstractIn the formulation of Cachazo, He, and Yuan, tree-level amplitudes for massless particles in gauge theory and gravity can be expressed as rational functions of the Lorentz invariants ka ·

New formulas for amplitudes from higher-dimensional operators

A bstractIn this paper we study tree-level amplitudes from higher-dimensional operators, including F3 operator of gauge theory, and R2, R3 operators of gravity, in the Cachazo-He-Yuan formulation. As

Explicit formulae for Yang-Mills-Einstein amplitudes from the double copy

A bstractUsing the double-copy construction of Yang-Mills-Einstein theories formulated in our earlier work, we obtain compact presentations for single-trace Yang-Mills-Einstein tree amplitudes with

Perturbiner methods for effective field theories and the double copy

A bstractPerturbiner expansion provides a generating function for all Berends-Giele currents in a given quantum field theory. We apply this method to various effective field theories with and without
...

References

SHOWING 1-10 OF 22 REFERENCES

Scattering of massless particles in arbitrary dimensions.

A compact formula for the complete tree-level S-matrix of pure Yang-Mills and gravity theories in arbitrary spacetime dimensions is presented and Gauge invariance is completely manifest as it follows from a simple property of the Pfaffian.

A 'Twistor String' Inspired Formula For Tree-Level Scattering Amplitudes in N=8 SUGRA

We propose a new formulation of the complete tree-level S-matrix of N = 8 supergravity. The new formula for n particles in the k R-charge sector is an integral over the Grassmannian G(2,n) and uses

Scattering in three dimensions from rational maps

A bstractThe complete tree-level S-matrix of four dimensional $ \mathcal{N}=4 $ super Yang-Mills and $ \mathcal{N}=8 $ supergravity has compact forms as integrals over the moduli space of certain

Gravity as the Square of Gauge Theory

We explore consequences of the recently discovered duality between color and kinematics, which states that kinematic numerators in a diagrammatic expansion of gauge-theory amplitudes can be arranged

On the tree level S matrix of Yang-Mills theory

In this note we further investigate the procedure for computing tree-level amplitudes in Yang-Mills theory from connected instantons in the B-model on P^{3|4}, emphasizing that the problem of

Residues and world sheet instantons

We reconsider the question of which Calabi-Yau compactifications of the heterotic string are stable under world-sheet instanton corrections to the effective space-time superpotential. For instance,

New Relations for Gauge-Theory Amplitudes

We present an identity satisfied by the kinematic factors of diagrams describing the tree amplitudes of massless gauge theories. This identity is a kinematic analog of the Jacobi identity for color

Scattering equations and Kawai-Lewellen-Tye orthogonality

Several recent developments point to the fact that rational maps from $n$-punctured spheres to the null cone of $D$-dimensional momentum space provide a natural language for describing the scattering