pith. sign in

arxiv: 2304.02550 · v3 · pith:ERMPIVQInew · submitted 2023-04-05 · ✦ hep-th · gr-qc· hep-ph

Massive Gravity is not Positive

classification ✦ hep-th gr-qchep-ph
keywords massmassiveboundseffectivegravityassumingboundedcutoff
0
0 comments X
read the original 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.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 6 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Full positivity bounds for anomalous quartic gauge couplings in SMEFT

    hep-ph 2026-03 unverdicted novelty 7.0

    Complete positivity bounds for the 22 aQGC coefficients in SMEFT restrict the viable parameter space to approximately 0.0313% of the naive total.

  2. Negative running of gravitational positivity

    hep-th 2026-03 unverdicted novelty 7.0

    Non-minimal three-point interactions induce negative one-loop running of Wilson coefficients in gravitational EFTs, yet graviton loops generate positive IR contributions that dominate the bounds after smearing if the ...

  3. Positivity with Long-Range Interactions

    hep-th 2025-12 unverdicted novelty 7.0

    Defines IR-finite amplitudes M_E that preserve analyticity and unitarity to derive positivity bounds on EFTs including electromagnetism and gravity in D=4.

  4. Multipositivity Constrains the Chiral Lagrangian

    hep-th 2026-05 unverdicted novelty 6.0

    Multipositivity bounds derived from planar tree-level scattering amplitudes constrain Wilson coefficients of the chiral Lagrangian from below by the chiral anomaly.

  5. The Equivalence Principle at High Energies Completes the Spectrum

    hep-th 2026-05 unverdicted novelty 6.0

    Tree-level gravitational scattering under the equivalence principle mandates single-particle states in all irreducible representations constructible from a single seed charge, with equal interaction strengths.

  6. Positivity in Massive Spin-3/2 EFTs and the Planck-Suppressed Neighbourhood of Supergravity

    hep-th 2026-05 unverdicted novelty 6.0

    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.