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.
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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 species number is bounded.
Defines IR-finite amplitudes M_E that preserve analyticity and unitarity to derive positivity bounds on EFTs including electromagnetism and gravity in D=4.
Computes the leading double logarithm at 5PM in the high-energy gravitational amplitude via multi-H diagrams and dispersion relations, extracting the single-log imaginary part of the eikonal phase.
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.
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.
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On the Asymptotic Causal Structure in Gravitational EFTs
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.