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arXiv · 1110.1132

N >= 4 Supergravity Amplitudes from Gauge Theory at Two Loops

C. Boucher-Veronneau·L. J. Dixon
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Abstract

We present the full two-loop four-graviton amplitudes in 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 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 N=8 supergravity is also presented, in a form that utilizes a pure function with a very simple symbol.

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C. Boucher-Veronneau, L. J. Dixon. 2011-12-08. N >= 4 Supergravity Amplitudes from Gauge Theory at Two Loops. https://doi.org/10.1007/jhep12(2011)046

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