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The EFT Bootstrap at Finite $M_{PL}$

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arxiv 2501.18465 v1 pith:M54W7TSZ submitted 2025-01-30 hep-th

Carl Beadle , Giulia Isabella , Davide Perrone , Sara Ricossa , Francesco Riva , Francesco Serra This is my paper · ORCID
classification hep-th
keywords loopeffectsimpactaddressapproachbootstrapboundscausal
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We explore the impact of loop effects on positivity in effective field theories emerging in the infrared from unitary and causal microscopic dynamics. Focusing on massless particles coupled to gravity, we address the treatment of forward-limit divergences from loop discontinuities and establish necessary conditions for maintaining computational control in perturbation theory. While loop effects remain small, ensuring consistency in our approach leads to a significant impact on bounds, even at tree level.

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Cited by 7 Pith papers

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

  1. (Super)$\,$Gravity from Positivity

    hep-th 2025-07 conditional novelty 8.0 of 10

    Positivity of scattering amplitudes forces weakly coupled EFTs of a massive spin-3/2 particle to include gravity, and for charged states a gauged photon with g=2 and WGC-saturating charge.

  2. Gravitational Effective Theories with Maximal Supersymmetry and a Peculiar Parity

    hep-th 2026-07 conditional novelty 7.0 of 10

    Peculiar parity plus N=8 SUSY, tree-level factorization, and finitely many states at the mass gap uniquely select the Virasoro–Shapiro amplitude among weakly-coupled UV completions of N=8 supergravity.

  3. 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.

  4. Splitting Regions and Shrinking Islands from Higher Point Constraints

    hep-th 2025-06 conditional novelty 7.0 of 10

    Imposing 5-point split conditions and unitarity bounds selects the string beta function as the unique 4-point amplitude, up to equal-mass infinite spin towers.

  5. 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|.

  6. The Rise of Linear Trajectories

    hep-th 2025-10 conditional novelty 6.0 of 10

    Numerical S-matrix bootstrap shows that maximized couplings of the second and third higher-spin resonances select spectra lying on a linear Regge trajectory, anchored by the graviton in gravitational theories.

  7. 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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