To Positivity and Beyond, where Higgs-Dilaton Inflation has never gone before
arXiv:1905.08816 · doi:10.1088/1475-7516/2019/11/042
Abstract
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.
arXiv comment27 pages, 6 figures; matches the published version
References in corpus (54)
- The Standard Model Higgs boson as the inflaton
- General relativity as an effective field theory: The leading quantum corrections
- Causality, Analyticity and an IR Obstruction to UV Completion
- Encyclopaedia Inflationaris
- Tests of the Gravitational Inverse-Square Law below the Dark-Energy Length Scale
- The Swampland: Introduction and Review
- On Renormalization Group Flows in Four Dimensions
- Higgs inflation: consistency and generalisations
- On the Naturalness of Higgs Inflation
- New Model of Inflation with Non-minimal Derivative Coupling of Standard Model Higgs Boson to Gravity
- Comment on Higgs Inflation and Naturalness
- Quantum scale invariance, cosmological constant and hierarchy problem
- Scale invariance, unimodular gravity and dark energy
- The -theorem and the Asymptotics of 4D Quantum Field Theory
- Higgs-Dilaton Cosmology: From the Early to the Late Universe
- Naturalness and the Weak Gravity Conjecture
- Causality Constraints in Conformal Field Theory
- Energy's and amplitudes' positivity
- Higgs inflation
- Positivity Bounds for Scalar Theories
- Theoretical Constraints on the Higgs Effective Couplings
- Disentangling a dynamical Higgs
- Higgs boson, renormalization group, and naturalness in cosmology
- Beyond Amplitudes' Positivity and the Fate of Massive Gravity
- Softness and Amplitudes' Positivity for Spinning Particles
- UV complete me: Positivity Bounds for Particles with Spin
- Violent Preheating in Inflation with Nonminimal Coupling
- Multiple field inflation
- Signs of Analyticity in Single-Field Inflation
- Infrared Consistency and the Weak Gravity Conjecture
- Quantum Gravity Constraints from Unitarity and Analyticity
- Higgs-Dilaton Cosmology: an effective field theory approach
- Scalaron the healer: removing the strong-coupling in the Higgs- and Higgs-dilaton inflations
- Massive Galileon Positivity Bounds
- Positivity Bounds for Massive Spin-1 and Spin-2 Fields
- Can one tell Einstein's unimodular theory from Einstein's general relativity?
- Positive Signs in Massive Gravity
- Preheating after multifield inflation with nonminimal couplings, III: Dynamical spacetime results
- On the violent preheating in the mixed Higgs- inflationary model
- Positivity Constraints for Pseudo-linear Massive Spin-2 and Vector Galileons
- Dispersion Relation Bounds for pi pi Scattering
- Late and early time phenomenology of Higgs-dependent cutoff
- Massive Higher Spins: Effective Theory and Consistency
- Higgs-Dilaton Cosmology: An inflation - dark energy connection and forecasts for future galaxy surveys
- Some like it hot: heals Higgs inflation, but does not cool it
- Frame (In)equivalence in Quantum Field Theory and Cosmology
- Gravity, Scale Invariance and the Hierarchy Problem
- Unitarity and positivity constraints for CFT at large central charge
- Unitarity and predictiveness in new Higgs inflation
- Conformal symmetry: towards the link between the Fermi and the Planck scales
- Remarks on analyticity and unitarity in the presence of a Strongly Interacting Light Higgs
- Dilaton-assisted generation of the Fermi scale from the Planck scale
- Extension of positivity bounds to non-local theories: IR obstructions to Lorentz invariant UV completions
- What do gravitons say about (unimodular) gravity?
Cited by in corpus (23)
- Convex Geometry Perspective to the (Standard Model) Effective Field Theory Space
- Reverse Bootstrapping: IR lessons for UV physics
- Natural Selection Rules: New Positivity Bounds for Massive Spinning Particles
- Positivity in Multi-Field EFTs
- Bootstrapping Pions at Large
- Bounding Violations of the Weak Gravity Conjecture
- Causal Effective Field Theories
- Standard Model Meets Gravity: Electroweak Symmetry Breaking and Inflation
- Matter matters in Einstein-Cartan gravity
- Triple crossing positivity bounds for multi-field theories
- Positivity Bounds without Boosts
- SMEFTs living on the edge: determining the UV theories from positivity and extremality
- Moments for positivity: using Drell-Yan data to test positivity bounds and reverse-engineer new physics
- Scale and Weyl Invariance in Einstein-Cartan Gravity
- UV graviton scattering and positivity bounds from IR dispersion relations
- Preheating in Einstein-Cartan Higgs Inflation: Oscillon formation
- Positivity bounds from multiple vacua and their cosmological consequences
- Spinning Sum Rules for the Dimension-Six SMEFT
- Positivity Bounds on Massive Vectors
- Positivity bounds in vector theories
- Positivity bounds at one-loop level: the Higgs sector
- Ephemeral Oscillons in Scalar-Tensor Theories: The Higgs-like case
- Higgs-Dilaton Inflation in Einstein-Cartan gravity