Perturbative expansion of N<8 Supergravity

Details Perturbative expansion of N<8 Supergravity Perturbative expansion of N<8 Supergravity

2010-11-24

arxiv.org/abs/1011.5378v3

Phys.Rev.D83:065015,2011

Physics

High Energy Physics

High Energy Physics - Theory

13 pages. v2 adds analytic expression for rational parts of 5-pt 1-loop N=4 SUGRA amplitude; v3 normalisations clarified

Scientific paper

10.1103/PhysRevD.83.065015

We characterise the one-loop amplitudes for N=6 and N=4 supergravity in four dimensions. For N=6 we find that the one-loop n-point amplitudes can be expanded in terms of scalar box and triangle functions only. This simplification is consistent with a loop momentum power count of n-3, which we would interpret as being n+4 for gravity with a further -7 from the N=6 superalgebra. For N=4 we find that the amplitude is consistent with a loop momentum power count of n, which we would interpret as being n+4 for gravity with a further -4 from the N=4 superalgebra. Specifically the N=4 amplitudes contain non-cut-constructible rational terms.

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