Constructing and constraining massive spin-2 scattering amplitudes

12.04.2017

Date 12.04.2017
Time 14:00
Place
  • ETH Zürich, Hönggerberg
  • HIT E 41.1
Speaker James Bonifacio
Area of expertise Physics
Host Dep. Physik
Contact Beisert/Gaberdiel
Abstract I will first review a procedure for constructing tree-level scattering amplitudes for spinning particles. Considering the case of a self-interacting massive spin-2 particle, I show that the four-point amplitudes with the highest cutoff correspond to the known ghost-free massive gravity theories, even allowing for arbitrary derivative interactions and parity-odd terms. This demonstrates that $\Lambda_3$ is a model-independent bound on the strong coupling scale in effective theories of a self-interacting massive spin-2 field. I also remark on possible generalisations to higher spins and additional fields. Lastly, I will discuss how the scattering amplitudes of massive spin-2 theories are constrained by analytic dispersion relations, assuming the existence of a UV-completion that satisfies the usual S-matrix analyticity conditions.
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