Scale-dependence in DHOST inflation
  We study the inflationary consequences of Degenerate Higher Order Scalar
Tensor (DHOST) theories in a de Sitter background. We perturb the de Sitter
background by operators breaking either the degeneracy condition, i.e
scordatura DHOST, or the shift symmetry in the scalar field. We first consider
derivative scordatura and find that in all cases the power spectra of curvature
perturbations are scale-invariant. We then investigate small perturbations by
an axion-like potential, and show that in this scenario the power spectrum
becomes scale-dependent. The modifications to the spectral index and its first
two derivatives are compatible with the latest inflationary constraints.
Moreover the tensor to scalar ratio and the non-Gaussianities of these models
could be within reach of future experiments.
