Cancellations beyond finiteness in N=8 supergravity at three loops.
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.
Bern
Z
Z
Department of Physics and Astronomy, UCLA, Los Angeles, California 90095-1547, USA.
Carrasco
J J
JJ
Dixon
L J
LJ
Johansson
H
H
Kosower
D A
DA
Roiban
R
R