Abstract
We analyze the high-energy behavior of tree-level graviton Compton amplitudes for particles of mass m and arbitrary spin, concentrating on a combination of forward amplitudes that will be unaffected by eventual cross couplings to other, higher spins. We first show that for any spin >2, tree-level unitarity is already violated at energies ∼ √ , rather than at the Planck scale , even for m≪. We then restore unitarity to this amplitude up to by adding nonminimal couplings that depend on the curvature and its derivatives, and modify the minimal description, including particle gravitational quadrupole moments, at ∼ scales.
- Received 15 August 1994
DOI:https://doi.org/10.1103/PhysRevD.51.4543
©1995 American Physical Society