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arXiv · hep-th/9712238

On Graviton Scattering Amplitudes in M-Theory

Katrin Becker·Melanie Becker
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Abstract

We compute graviton scattering amplitudes in M-theory using Feynman rules for a scalar particle coupled to gravity in eleven dimensions. The processes that we consider describe the single graviton exchange and the double graviton exchange, that in M(atrix) theory correspond to the $v^4/r^7$- and $v^6/r^{14}$-term respectively. We further show that the $ v^6/r^{14}$-term appearing in M(atrix) theory at two-loops can be obtained from the covariant eleven-dimensional four-graviton amplitude. Finally, we calculate the $v^8/r^{18}$-term appearing at two-loops in M(atrix) theory. It has been previously conjectured that this term is related to a four graviton scattering amplitude involving the $R^4$-vertex of M-theory.

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Katrin Becker, Melanie Becker. 1997-12-27. On Graviton Scattering Amplitudes in M-Theory. https://doi.org/10.1103/physrevd.57.6464

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