Abstract
We present the full two-loop four-graviton amplitudes in \( \mathcal{N} = 4,\;5,\;6 \) supergravity. These results were obtained using the double-copy structure of gravity, which follows from the recently conjectured color-kinematics duality in gauge theory. The two-loop four-gluon scattering amplitudes in \( \mathcal{N} = 0,\;{1},\;{2} \) supersymmetric gauge theory are a second essential ingredient. The gravity amplitudes have the expected infrared behavior: the two-loop divergences are given in terms of the squares of the corresponding one-loop amplitudes. The finite remainders are presented in a compact form. The finite remainder for \( \mathcal{N} = 8 \) supergravity is also presented, in a form that utilizes a pure function with a very simple symbol.
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Boucher-Veronneau, C., Dixon, L.J. \( \mathcal{N} \geqslant {4} \) supergravity amplitudes from gauge theory at two loops. J. High Energ. Phys. 2011, 46 (2011). https://doi.org/10.1007/JHEP12(2011)046
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DOI: https://doi.org/10.1007/JHEP12(2011)046