On the Lagrangian formulation of the double copy to cubic order

@article{Ferrero2020OnTL,
  title={On the Lagrangian formulation of the double copy to cubic order},
  author={Pietro Ferrero and Dario Francia},
  journal={Journal of High Energy Physics},
  year={2020},
  volume={2021},
  pages={1-34}
}
We investigate the Lagrangian formulation of the double-copy correspondence between gauge theories and gravity, up to the cubic order. Building on the definition of the double-copy field as a convolution of two vectors, we obtain free gravitational Lagrangians as products of two Yang-Mills Lagrangians, in a form amenable to be easily extended to the massive case. We discuss the origin of these results from tensionless strings and show the existence of gauge fixings that mix the two spin-one… 
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