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Positivity and the Electroweak Hierarchy

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arxiv 2308.06226 v1 pith:CU5QONDB submitted 2023-08-11 hep-ph hep-th

classification hep-phhep-th
keywords hierarchycoefficientscut-offassumingautomaticallycausalcertaincolliders
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

We point out that an unnatural hierarchy between certain higher-dimensional operator coefficients in a low-energy Effective Field Theory (EFT) would automatically imply that the Higgs' vacuum expectation value is hierarchically smaller than the EFT cut-off, assuming the EFT emerged from a unitary, causal and local UV completion. Future colliders may have the sensitivity to infer such a pattern of coefficients for a little hierarchy with an EFT cut-off up to $\mathcal{O}(10)$ TeV.

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Forward citations

Cited by 3 Pith papers

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

  1. Geometry of effective field theory positivity cones

    math-ph 2025-08 accept novelty 7.0 of 10

    For three particle flavors, the positivity cone C_W has exactly three families of extremal rays, one of which yields genuinely new inelastic constraints not implied by elastic bounds.

  2. Matrix moment approach to positivity bounds and UV reconstruction from IR

    hep-th 2024-11 conditional novelty 7.0 of 10

    Positivity bounds for multi-field EFTs are formulated as matrix moment problems, yielding optimal bounds and a method to reverse engineer the UV mass, spin, and coupling spectrum from low-energy coefficients.

  3. 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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