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New expressions for gravitational scattering amplitudes

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Abstract

New methods are introduced for evaluating tree-level gravitational scattering amplitudes. A new N=7 super-symmetric recursion yields amplitudes free from the spurious double poles of the N=8 theory. This is illustrated by a new nine-term expression for the six-graviton NMHV amplitude. The general scheme also implies a simplified recurrence relation for MHV amplitudes. We show how this relation is satisfied by a new expression for MHV amplitudes, far simpler than those hitherto identified, and exhibiting manifest S n symmetry. This reformulation is related to a new momentum-twistor representation of the MHV amplitudes.

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  1. Mathematical Institute, 24-29 St Giles, Oxford, OX1 3LB, U.K

    Andrew Hodges

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  1. Andrew Hodges
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Correspondence to Andrew Hodges.

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ArXiv ePrint: 1108.2227

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Hodges, A. New expressions for gravitational scattering amplitudes. J. High Energ. Phys. 2013, 75 (2013). https://doi.org/10.1007/JHEP07(2013)075

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  • DOI: https://doi.org/10.1007/JHEP07(2013)075

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