Massive Gravity is not Positive

Abstract

We derive new positivity bounds at finite momentum transfer, assuming a large separation between the mass $m$ of the lightest particle in the effective theory and the mass gap $M$ to new heavy states. Massive gravity parametrically violates these bounds unless the cutoff is within one order of magnitude of the graviton mass $M\lesssim O(10)m$. Non-gravitational effective theories of massive spin-2 particles are similarly bounded.

v2: 8 pages + appendices & references, 3 figures. Typos fixed, references added, discussion on negativity of general spin-2 EFTs included

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Cited by in corpus (14)

• Running Love Numbers and the Effective Field Theory of Gravity
• The EFT Bootstrap at Finite $M_{PL}$
• Positivity Bounds on Massive Vectors
• Non-Forward UV/IR Relations
• Gravity-Induced Photon Interactions and Infrared Consistency in any Dimensions
• Positivity Bounds in Scalar Effective Field Theories at One-loop Level
• Consistent actions for massive particles interacting with electromagnetism and gravity
• Non-linear Electrodynamics from Massive Gravity
• Massive graviton dark matter searches with long-baseline atom interferometers
• Lectures in Quantum Gravity
• Positivity bounds in scalar-QED EFT at one-loop level
• Spectral Constraints on Theories of Colored Particles and Gravity
• The Rise of Linear Trajectories
• A unique coupling of the massive spin-2 field to supergravity