Recursion Relations for One-Loop Gravity Amplitudes

Abstract

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.

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

References in corpus (4)

• Is N = 8 Supergravity Ultraviolet Finite?
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• The No-Triangle Hypothesis for N=8 Supergravity
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