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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

classification hep-th
keywords loopeffectsimpactaddressapproachbootstrapboundscausal
verification ladder T0 review T1 audit T2 compute T3 formal
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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 14 Pith papers

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

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

    hep-th 2026-05 unverdicted novelty 8.0 of 10

    Massive spin-3/2 EFT contact couplings are constrained by positivity to a Planck-suppressed neighborhood of supergravity values whose volume scales as m^6/M_Pl^6 and vanishes as m approaches zero.

  2. (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.

  3. 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.

  4. Bootstrapping Pion Form Factors at Large $N$

    hep-th 2026-06 unverdicted novelty 7.0 of 10

    Bootstrap analysis of meromorphic observables in large-N QCD yields universal and SVZ-type bounds that constrain chiral Lagrangian parameters and link hadronic data to asymptotic freedom.

  5. On the Asymptotic Causal Structure in Gravitational EFTs

    hep-th 2026-04 accept novelty 7.0 of 10

    In D>4, gravitational EFTs with higher-derivative operators allow asymptotic superluminality around black holes, but in D=4 the asymptotic causal structure is identical to Schwarzschild and insensitive to corrections.

  6. Negative running of gravitational positivity

    hep-th 2026-03 unverdicted novelty 7.0 of 10

    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 ...

  7. Positivity with Long-Range Interactions

    hep-th 2025-12 unverdicted novelty 7.0 of 10

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

  8. 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.

  9. Primal S-matrix bootstrap with dispersion relations

    hep-th 2025-06 unverdicted novelty 7.0 of 10

    A primal S-matrix bootstrap framework parameterizes imaginary parts of partial waves, uses dispersion relations to enforce consistency, computes coupling bounds, and handles Regge behavior plus spinning states like glueballs.

  10. Multipositivity Constrains the Chiral Lagrangian

    hep-th 2026-05 unverdicted novelty 6.0 of 10

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

  11. The Equivalence Principle at High Energies Completes the Spectrum

    hep-th 2026-05 unverdicted novelty 6.0 of 10

    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.

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

    hep-th 2026-05 unverdicted novelty 6.0 of 10

    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.

  13. Sampling the Graviton Pole and Deprojecting the Swampland

    hep-th 2026-04 unverdicted novelty 6.0 of 10

    A sampling-based bootstrap for graviton poles in EFTs yields non-projective bounds that fix the EFT cutoff scale relative to the Planck mass, with M/M_P ≲ 7.8 in D=5.

  14. 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.

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