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Causality bounds on scalar-tensor EFTs

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arxiv 2304.01259 v2 pith:JQSREEJM submitted 2023-04-03 hep-th astro-ph.COgr-qc

Dong-Yu Hong , Zhuo-Hui Wang , Shuang-Yong Zhou This is my paper · ORCID
classification hep-thastro-ph.COgr-qc
keywords boundscausalitycoefficientsdispersionleadingrelationsscalar-tensorwilson
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We compute the causality/positivity bounds on the Wilson coefficients of scalar-tensor effective field theories. Two-sided bounds are obtained by extracting IR information from UV physics via dispersion relations of scattering amplitudes, making use of the full crossing symmetry. The graviton $t$-channel pole is carefully treated in the numerical optimization, taking into account the constraints with fixed impact parameters. It is shown that the typical sizes of the Wilson coefficients can be estimated by simply inspecting the dispersion relations. We carve out sharp bounds on the leading coefficients, particularly, the scalar-Gauss-Bonnet couplings, and discuss how some bounds vary with the leading $(\partial\phi)^4$ coefficient and as well as phenomenological implications of the causality bounds.

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Cited by 4 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|.

  4. Positivity and partial wave unitarity bounds on ALP theories via amplitude methods

    hep-ph 2025-10 conditional novelty 6.0 of 10

    Complete partial-wave unitarity and positivity bounds are derived for ALP effective interactions up to dimension 8, with new SMEFT positivity constraints as a byproduct.

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