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

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arxiv 1110.1132 v2 pith:4UN4NXLX submitted 2011-10-06 hep-th

C. Boucher-Veronneau , L. J. Dixon This is my paper · ORCID
classification hep-th
keywords amplitudesgaugesupergravitytheorytwo-loopfiniteformgravity
verification ladder T0 review T1 audit T2 compute T3 formal
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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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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Gleaning gravitational amplitudes -- a double copy for canceling dilatons

    hep-th 2025-01 conditional novelty 7.0 of 10

    An asymmetric double copy with a ghost-like sqrt-dilaton cancels dilaton contaminations in tree-level GR amplitudes with massive scalars up to six points, leaving a residual bubble ambiguity at one loop.

  2. On the Double Copy for Spinning Matter

    hep-th 2019-08 conditional novelty 7.0 of 10

    Massive spinning-particle gravitational amplitudes are obtained by dimensional reduction of massless double copy amplitudes, fixing g=2 and matter couplings, and the Goldberger-Ridgway classical double copy is identif...

  3. A tale of two exponentiations in ${\cal N}=8$ supergravity

    hep-th 2019-08 accept novelty 7.0 of 10

    The paper derives a closed all-orders formula for the leading high-energy part of the N=8 supergravity remainder function, confirming the recent three-loop calculation and predicting new terms at four loops and beyond.

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