Recursion Relations for One-Loop Gravity Amplitudes

Details Recursion Relations for One-Loop Gravity Amplitudes Recursion Relations for One-Loop Gravity Amplitudes

2007-01-19

arxiv.org/abs/hep-th/0701187v2

JHEP 0703:029,2007

Physics

High Energy Physics

High Energy Physics - Theory

28 pages, LaTeX, 12 figures. v2:typos and references corrected

Scientific paper

10.1088/1126-6708/2007/03/029

We study the application of recursion relations to the calculation of finite one-loop gravity amplitudes. It is shown explicitly that the known four, five, and six graviton one-loop amplitudes for which the external legs have identical outgoing helicities, and the four graviton amplitude with helicities (-,+,+,+) can be derived from simple recursion relations. The latter amplitude is derived by introducing a one-loop three-point vertex of gravitons of positive helicity, which is the counterpart in gravity of the one-loop three-plus vertex in Yang-Mills. We show that new issues arise for the five point amplitude with helicities (-,+,+,+,+), where the application of known methods does not appear to work, and we discuss possible resolutions.

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