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Six-Point One-Loop N=8 Supergravity NMHV Amplitudes and their IR behaviour

N. E. J. Bjerrum-Bohr·David C. Dunbar·Harald Ita
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Abstract

We present compact formulas for the box coefficients of the six-point NMHV one-loop amplitudes in N=8 supergravity. We explicitly demonstrate that the corresponding box integral functions, with these coefficients, have the complete IR singularities expected of the one-loop amplitude. This is strong evidence for the conjecture that N=8 one-loop amplitudes may be expressed in terms of scalar box integral functions. This structure, although unexpected from a power counting viewpoint, is analogous to the structure of N=4 super-Yang-Mills amplitudes. The box-coefficients match the tree amplitude terms arising from recursion relations.

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N. E. J. Bjerrum-Bohr, David C. Dunbar, Harald Ita. 2005-04-08. Six-Point One-Loop N=8 Supergravity NMHV Amplitudes and their IR behaviour. https://doi.org/10.1016/j.physletb.2005.05.071

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