Color-kinematics duality for pure Yang-Mills and gravity at one and two loops

@article{Bern2015ColorkinematicsDF,
  title={Color-kinematics duality for pure Yang-Mills and gravity at one and two loops},
  author={Zvi Bern and Scott Davies and Tristan Dennen and Yu-tin Huang and Josh Nohle},
  journal={Physical Review D},
  year={2015},
  volume={92},
  pages={045041}
}
We provide evidence in favor of the conjectured duality between color and kinematics for the case of nonsupersymmetric pure Yang-Mills amplitudes by constructing a form of the one-loop four-point amplitude of this theory that makes the duality manifest. Our construction is valid in any dimension. We also describe a duality-satisfying representation for the two-loop four-point amplitude with identical four-dimensional external helicities. We use these results to obtain corresponding gravity… 

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