Two-loop gravity amplitudes from four dimensional unitarity

@article{Dunbar2017TwoloopGA,
  title={Two-loop gravity amplitudes from four dimensional unitarity},
  author={David C. Dunbar and Guy R. Jehu and Warren B. Perkins},
  journal={Physical Review D},
  year={2017},
  volume={95},
  pages={046012}
}
We compute the polylogarithmic parts of the two-loop four and five-graviton amplitudes where the external helicities are positive and express these in a simple compact analytic form. We use these to extract the $\ln(\mu^2)$ terms from both the four and five-point amplitudes and show that these match the same $R^3$ counterterm. 

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