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Amplitudes' Positivity, Weak Gravity Conjecture, and Modified Gravity

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arxiv 1902.03250 v4 pith:QLW3TED6 submitted 2019-02-08 hep-th gr-qchep-ph

Brando Bellazzini , Matthew Lewandowski , Javi Serra This is my paper · ORCID
classification hep-thgr-qchep-ph
keywords gravityboundsconjecturetheoriesweakamplitudesblackextremal
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We derive new positivity bounds for scattering amplitudes in theories with a massless graviton in the spectrum in four spacetime dimensions, of relevance for the weak gravity conjecture and modified gravity theories. The bounds imply that extremal black holes are self-repulsive, $M/|Q|<1$ in suitable units, and that they are unstable to decay to smaller extremal black holes, providing an S-matrix proof of the weak gravity conjecture. We also present other applications of our bounds to the effective field theory of axions, $P(X)$ theories, weakly broken galileons, and curved spacetimes.

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Forward citations

Cited by 6 Pith papers

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

  1. Strings from Almost Nothing

    hep-th 2025-08 conditional novelty 7.0 of 10

    Ultrasoft, minimally structured scattering amplitudes are forced onto the Veneziano and Virasoro-Shapiro amplitudes of string theory.

  2. Scalar weak gravity bound from full unitarity

    hep-th 2025-02 conditional novelty 7.0 of 10

    For a shift-symmetric scalar EFT with gravity, unitarity and dispersion relations imply Λ/M_P < 2.38 \tilde{g}_2^{1/5} and, in an improved smeared version, Λ^2/M_P^2 < 0.0115 |\tilde{g}_2|.

  3. Running Love Numbers and the Effective Field Theory of Gravity

    hep-th 2025-01 conditional novelty 7.0 of 10

    Higher-derivative gravity corrections induce non-zero, classically running tidal Love numbers for black holes, computed here with a new tidal Green function method.

  4. The EFT Bootstrap at Finite $M_{PL}$

    hep-th 2025-01 conditional novelty 7.0 of 10

    One-loop gravity effects make forward-limit positivity bounds ill-defined for massless scalar-gravity EFTs, forcing non-forward dispersion relations that shift the tree-level bounds by order-one factors.

  5. Causality Constraints on Black Hole Thermodynamics in Nonlinear Electrodynamics

    hep-th 2025-05 conditional novelty 6.0 of 10

    Causality in nonlinear electrodynamics forces the entropy-to-mass-squared ratio of black holes to decrease with mass and the extremal mass-to-charge ratio to increase with charge.

  6. Bootstrapping Gravity with Crossing Symmetric Dispersion Relations

    hep-th 2025-06 conditional novelty 5.0 of 10

    A crossing-symmetric dispersion-relation bootstrap reproduces known gravitational EFT bounds and gives new tree-level limits on the graviton coupling to a massive spin-4 state.

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