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To Positivity and Beyond, where Higgs-Dilaton Inflation has never gone before
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We study the consequences of (beyond) positivity of scattering amplitudes in the effective field theory description of the Higgs-Dilaton inflationary model. By requiring the EFT to be compatible with a unitary, causal, local and Lorentz invariant UV completion, we derive constraints on the Wilson coefficients of the first higher order derivative operators. We show that the values allowed by the constraints are consistent with the phenomenological applications of the Higgs-Dilaton model.
Forward citations
Cited by 7 Pith papers
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Scalar weak gravity bound from full unitarity
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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Running EFT-hedron with null constraints at loop level
One-loop massless corrections modify the null constraints of shift-symmetric scalar EFTs, and IR-finite combinations of them reproduce tree-level bounds in the weak-coupling limit while deforming bounds in five and si...
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Consistency of the Standard Model Effective Field Theory
Causality and analyticity of scattering amplitudes imply 27 independent bounds on the dimension-eight bosonic operators of the Standard Model Effective Field Theory.
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Weyl-invariant Einstein-Cartan gravity with a heavy ALP: Higgs Inflation and $\alpha$-attractors
In a Weyl-invariant Einstein-Cartan gravity theory with the SM Higgs and a heavy gravitational ALP, tuning two nonminimal couplings reproduces metric Higgs inflation and α-attractor-like inflation with ns≈1−2/N and r≈12/N^2.
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Ephemeral Oscillons in Scalar-Tensor Theories: The Higgs-like case
In a Higgs-like Einstein-Cartan inflation model, oscillons formed after inflation are short-lived and their decay drives radiation domination within about four e-folds.
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Positivity in the effective field theory of cosmological perturbations
For a c_T=1 beyond-Horndeski EFT of cosmological perturbations, positivity bounds including H^2/Λ^2 corrections are derived and applied to slow-roll inflation.
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Causality bounds from charged shockwaves in 5d
Causality on 5d charged shockwaves gives positivity bounds on four-derivative Einstein-Maxwell couplings, with gravity weakening the pure-field-theory bounds and near-horizon photons providing the strongest constraints.
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