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Tree-Level Unitarity Constraints on the Gravitational Couplings of Higher-Spin Massive Fields
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We analyse 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 larger than 2, tree-level unitarity is already violated at energies well below the Planck scale M, if m << M. We then restore unitarity to this amplitude up to M by adding non-minimal couplings that depend on the curvature and its derivatives, and modify the minimal description - including particle gravitational quadrupole moments - at scales O(1/m).
Forward citations
Cited by 2 Pith papers
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Positivity in Massive Spin-3/2 EFTs and the Planck-Suppressed Neighbourhood of Supergravity
Positivity bounds on massive spin-3/2 four-fermion operators restrict the couplings to a bounded region around supergravity values whose volume scales as m^6/M_Pl^6 and vanishes as m approaches zero.
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On-shell recursion relations for higher-spin Compton amplitudes
The all-line transverse shift makes four-point electromagnetic and gravitational Compton amplitudes on-shell constructible for massive spin s≤3/2 and s≤5/2, respectively, starting from minimal three-point amplitudes.
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