Absence of Triangles in Maximal Supergravity Amplitudes

N. E. J. Bjerrum-Bohr , P. Vanhove (1, 2)

1 IPHT - Institut de Physique Théorique - UMR CNRS 3681
2 LPTHE - Laboratoire de Physique Théorique et Hautes Energies

From general arguments, we show that one-loop n-point amplitudes in colourless theories satisfy a new type of reduction formula. These lead to the existence of cancellations beyond supersymmetry. Using such reduction relations we prove the no-triangle hypothesis in maximal supergravity by showing that in four dimensions the n-point graviton amplitude contain only scalar box integral functions. We also discuss the reduction formulas in the context of gravity amplitudes with less and no supersymmetry.

Domaines: Physique des Hautes Energies - Théorie [hep-th]

N. E. J. Bjerrum-Bohr, P. Vanhove. Absence of Triangles in Maximal Supergravity Amplitudes. 2008. ⟨hal-00301596⟩