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Perturbative Unitarity of Inflationary Models with Features
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We consider the pertubative consistency of inflationary models with features with effective field theory methods. By estimating the size of one-loop contributions to the three-point function, we find the energy scale where their contribution is of the same order of the tree-level amplitude. It is well-known that beyond that scale, perturbative unitarity is lost and the theory is no more under theoretical control. Requiring that all the relevant energy scales of the problem are below this cutoff, we derive a strong upper bound on the sharpness of the feature, or equivalently on its characteristic time scale, which is independent on the amplitude of the feature itself. We point out that the sharp features which seem to provide better fits to the CMB power spectrum are already outside this bound, questioning the consistency of the models that predict them.
Forward citations
Cited by 2 Pith papers
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Scale-Dependent Loop Corrections to the Inflationary Power Spectrum
One-loop gravitational corrections in inflationary models with scale-dependent features are renormalizable and vanish on large and small scales, preserving perturbativity of CMB-fit feature models.
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Primordial Sharp Features through the Nonlinear Regime of Structure Formation
Sharp primordial features survive nonlinear structure formation as localised bumps or dips in the matter power spectrum, while their oscillatory patterns are erased, leaving an oscillatory imprint in the halo mass function.
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