### Abstract

We construct the three-loop four-point amplitude of N=8 supergravity using the unitarity method. The amplitude is ultraviolet finite in four dimensions. Novel cancellations, not predicted by traditional superspace power-counting arguments, render its degree of divergence in D dimensions no worse than that of N=4 super-Yang-Mills theory-a finite theory in four dimensions. Similar cancellations can be identified at all loop orders in certain unitarity cuts, suggesting that N=8 supergravity may be a perturbatively finite theory of quantum gravity.

Original language | English (US) |
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Article number | 161303 |

Journal | Physical Review Letters |

Volume | 98 |

Issue number | 16 |

DOIs | |

State | Published - Apr 19 2007 |

### All Science Journal Classification (ASJC) codes

- Physics and Astronomy(all)

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## Cite this

Bern, Z., Carrasco, J. J., Dixon, L. J., Johansson, H., Kosower, D. A., & Roiban, R. (2007). Cancellations beyond finiteness in N=8 supergravity at three loops.

*Physical Review Letters*,*98*(16), [161303]. https://doi.org/10.1103/PhysRevLett.98.161303