Loop Amplitudes in an Extended Gravity Theory

Understand

We extend the $S$-matrix of gravity by the addition of the minimal three-point amplitude or equivalently adding $R^3$ terms to the Lagrangian.

• We demonstrate how Unitarity can be used to simply examine the renormalisability of this theory and determine the $R^4$ counter-terms that arise at one-loop.
• We find that the combination of $R^4$ terms that arise in the extended theory is complementary to the $R^4$ counter-term associated with supersymmetric Lagrangians.