Loop Amplitudes in an Extended Gravity Theory

Abstract

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.

16 pages; some corrections to formulae and comments added

References in corpus (4)

• Consistency Conditions on the S-Matrix of Massless Particles
• Two-Loop Renormalization of Quantum Gravity Simplified
• Two-Loop Gravity amplitudes from four dimensional Unitarity
• Diagrammar in an Extended Theory of Gravity

Cited by in corpus (5)

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• Eikonal phase matrix, deflection angle and time delay in effective field theories of gravity
• Scattering Amplitudes, Black Holes and Leading Singularities in Cubic Theories of Gravity
• RG of GR from On-shell Amplitudes
• Post-Minkowskian Hamiltonians in Modified Theories of Gravity