Matter Coupling in Massive Gravity

Abstract

We discuss the dRGT massive gravity interacting with spin-0, spin-1/2, or spin-1 matter. The effective theory of a massive spin-2 particle coupled to matter particles is constructed directly at the amplitude level. In this setting we calculate the gravitational Compton scattering amplitudes and study their UV properties. While the Compton amplitudes generically grow with energy as $\mathcal{O}(E^6)$, we identify regions of the parameter space where they are softened to $\mathcal{O}(E^4)$ or even $\mathcal{O}(E^3)$, which allows for a larger validity range of the effective theory. In these regions, both positivity and beyond-positivity of the forward Compton amplitudes are fulfilled, and the equivalence principle automatically emerges.

arXiv comment21 pages, 1 figure

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Cited by in corpus (8)

• Massless Positivity in Graviton Exchange
• Causality, Unitarity and Symmetry in Effective Field Theory
• Massive Gravity is not Positive
• Soft Matters, or the Recursions with Massive Spinors
• On-shell effective theory for higher-spin dark matter
• Graviton-photon production with a massive spin-2 particle
• Supersymmetric Massive Gravity
• The chirality-flow formalism for the standard model