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Positivity Bounds on parity-violating scalar-tensor EFTs

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arxiv 2410.09794 v2 pith:SX4GFZJ2 submitted 2024-10-13 hep-th gr-qc

classification hep-thgr-qc
keywords coefficientsboundsparity-conservingparity-violatingcausalitycounterpartshigherorder
verification ladder T0 review T1 audit T2 compute T3 formal
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Using dispersion relations of the scattering amplitudes and semi-definite programming, we calculate causality bounds on the Wilson coefficients in scalar-tensor effective field theories that include parity-violating operators. Particular attention has been paid to the dynamical-Chern-Simons (dCS) and scalar-Gauss-Bonnet (sGB) couplings, along with higher order coefficients, and the interplay between them. For the leading terms, the bounds on the parity-conserving and -violating coefficients are simply projections of the complex coefficients. Some parity-violating coefficients are found to be upper bounded by the parity-conserving counterparts, or the higher order parity-conserving coefficients. While the observational constraints on parity-violating coefficients are weaker than the parity-conserving counterparts, the causality bounds are of comparable strength and thus may play a more prominent role in constraining strong gravity effects in upcoming observations.

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Cited by 3 Pith papers

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

  1. UV completions of scalar-tensor EFTs

    hep-th 2025-07 conditional novelty 7.0 of 10

    One-loop matching shows heavy spin-0, 1/2, or 1 matter generates explicit Wilson coefficients for scalar-tensor EFTs; shift-symmetric scalar-Gauss-Bonnet gravity is not produced in this model class, while shift-symmet...

  2. 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.

  3. 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|.

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