Recursion relations for one-loop gravity amplitudes
Jan, 2007
28 pages
Published in:
- JHEP 03 (2007) 029
e-Print:
- hep-th/0701187 [hep-th]
Report number:
- QMUL-PH-07-02
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Abstract: (arXiv)
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.- string model
- twistor
- scattering amplitude: higher-order
- vertex function
- graviton: scattering amplitude
- analytic properties
- helicity
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