One-loop N=8 supergravity coefficients from N=4 super Yang-Mills

Abstract

We use supersymmetric generalised unitarity to calculate supercoefficients of box functions in the expansion of scattering amplitudes in N=8 supergravity at one loop. Recent advances have presented tree-level amplitudes in N=8 supergravity in terms of sums of terms containing squares of colour-ordered Yang-Mills superamplitudes. We develop the consequences of these results for the structure of one-loop supercoefficients, recasting them as sums of squares of N=4 Yang-Mills expressions with certain coefficients inherited from the tree-level superamplitudes. This provides new expressions for all one-loop box coefficients in N=8 supergravity, which we check against known results in a number of cases.

39 pages, 12 figures

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• Twin Supergravities from Yang-Mills Squared
• Global symmetries of Yang-Mills squared in various dimensions
• Gravitino Interactions from Yang-Mills Theory
• Holonomies of gauge fields in twistor space 2: Hecke algebra, diffeomorphism, and graviton amplitudes
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