# To Positivity and Beyond, where Higgs-Dilaton Inflation has never gone before

## TL;DR

This paper investigates how positivity constraints on scattering amplitudes restrict the effective field theory parameters of the Higgs-Dilaton inflation model, ensuring its consistency with fundamental principles and phenomenological viability.

## Contribution

It derives new bounds on Wilson coefficients in the Higgs-Dilaton EFT from positivity, linking fundamental principles with inflationary model parameters.

## Key findings

- Positivity constraints limit Wilson coefficients in the EFT.
- Constraints are compatible with Higgs-Dilaton phenomenology.
- Ensures EFT consistency with UV completion principles.

## 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.