Scattering Amplitudes, Black Holes and Leading Singularities in Cubic Theories of Gravity

Abstract

We compute the semi-classical potential arising from a generic theory of cubic gravity, a higher derivative theory of spin-2 particles, in the framework of modern amplitude techniques. We show that there are several interesting aspects of the potential, including some non-dispersive terms that lead to black hole solutions (include quantum corrections) that agree with those derived in Einsteinian cubic gravity (ECG). We show that these non-dispersive terms could be obtained from theories that include the Gauss-Bonnet cubic invariant $G_3$. In addition, we derive the one-loop scattering amplitudes using both unitarity cuts and via the leading singularity, showing that the classical effects of higher derivative gravity can be easily obtained directly from the leading singularity with far less computational cost.

Updated to reflect published version

References in corpus (6)

• Scattering Amplitudes and the Conservative Hamiltonian for Binary Systems at Third Post-Minkowskian Order
• Amplitudes, Observables, and Classical Scattering
• Scattering of Spinning Black Holes from Exponentiated Soft Factors
• Taming Tree Amplitudes In General Relativity
• New Formulas for Amplitudes from Higher-Dimensional Operators
• Born-Infeld Gravity with a Massless Graviton in Four Dimensions

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