Absence of Triangles in Maximal Supergravity Amplitudes
High Energy Physics - Theory
2010-02-03 v2
Abstract
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.
Keywords
Cite
@article{arxiv.0805.3682,
title = {Absence of Triangles in Maximal Supergravity Amplitudes},
author = {N. E. J. Bjerrum-Bohr and Pierre Vanhove},
journal= {arXiv preprint arXiv:0805.3682},
year = {2010}
}
Comments
23 pages, RevTeX4 format. v2: Expanded version with a new section providing some extra background material and an overview of the general arguments. Minors typos have been corrected. Version to be published