Gluons and gravitons at one loop from ambitwistor strings

@article{Geyer2017GluonsAG,
  title={Gluons and gravitons at one loop from ambitwistor strings},
  author={Yvonne Geyer and Ricardo Monteiro},
  journal={Journal of High Energy Physics},
  year={2017},
  volume={2018},
  pages={1-41}
}
A bstractWe present new and explicit formulae for the one-loop integrands of scattering amplitudes in non-supersymmetric gauge theory and gravity, valid for any number of particles. The results exhibit the colour-kinematics duality in gauge theory and the double-copy relation to gravity, in a form that was recently observed in supersymmetric theories. The new formulae are expressed in a particular representation of the loop integrand, with only one quadratic propagator, which arises naturally… 

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References

SHOWING 1-10 OF 144 REFERENCES

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

Ambitwistor strings and the scattering equations at one loop

A bstractAmbitwistor strings are chiral, infinite tension analogues of conventional string theory whose target space is the space of complex null geodesics and whose spectrum consists exclusively of

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.

String-inspired BCJ numerators for one-loop MHV amplitudes

A bstractWe find simple expressions for the kinematic numerators of one-loop MHV amplitudes in maximally supersymmetric Yang-Mills theory and supergravity, at any multiplicity. The gauge-theory

Ambitwistor formulations of R2 gravity and (DF)2 gauge theories

A bstractWe consider D-dimensional amplitudes in R2 gravities (conformal gravity in D = 4) and in the recently introduced (DF)2 gauge theory, from the perspective of the CHY formulae and ambitwistor

Colour-Kinematics duality for one-loop rational amplitudes

A bstractColour-kinematics duality is the conjecture of a group theory-like structure for the kinematic dependence of scattering amplitudes in gauge theory and gravity. This structure has been

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

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

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
...