Spectrum oscillations from features in the potential of single-field inflation

Abstract

We study single-field inflationary models with steep step-like features in the potential that lead to the temporary violation of the slow-roll conditions during the evolution of the inflaton. These features enhance the power spectrum of the curvature perturbations by several orders of magnitude at certain scales and also produce prominent oscillatory patterns. We study analytically and numerically the inflationary dynamics. We describe quantitatively the size of the enhancement, as well as the profile of the oscillations, which are shaped by the number and position of the features in the potential. The induced tensor power spectrum inherits the distinctive oscillatory profile of the curvature spectrum and is potentially detectable by near-future space interferometers. The enhancement of the power specrtum by step-like features, though significant, may be insufficient to trigger the production of a sizeable number of primordial black holes if radiation dominates the energy density of the early universe. However, it can result in sufficient black hole production if the universe is dominated by non-relativistic matter. For the latter scenario, we find that deviations from the standard monochromatic profile of the mass spectrum of primordial black holes are possible because of the multiple-peak structure of the curvature power spectrum.

37 pages, 14 figures. Journal Version

References in corpus (26)

• Exact evolution equation for the effective potential
• Primordial Black Holes as Dark Matter
• Primordial Black Holes as Dark Matter: Recent Developments
• Gravitational Wave Spectrum Induced by Primordial Scalar Perturbations
• The cosmological gravitational wave background from primordial density perturbations
• Scientific Objectives of Einstein Telescope
• Primordial black hole dark matter from single field inflation
• Primordial Black Holes and Slow-Roll Violation
• Primordial black hole formation in the radiative era: investigation of the critical nature of the collapse
• Calculating the mass spectrum of primordial black holes
• Generating PBHs and small-scale GWs in two-field models of inflation
• Primordial black hole formation from an axion-like curvaton model
• Large Field Inflation and Double $\alpha$-Attractors
• Inflation and WMAP three year data: Features have a Future!
• Gravitational Waves Induced by Scalar Perturbations with a Lognormal Peak
• Second-order Gauge Invariant Cosmological Perturbation Theory: -- Einstein equations in terms of gauge invariant variables --
• New Constraints on Oscillations in the Primordial Spectrum of Inflationary Perturbations
• Primordial black holes and gravitational waves from resonant amplification during inflation
• Unified treatment of cosmological perturbations from super-horizon to small scales
• Resonant multiple peaks in the induced gravitational waves
• Probing Primordial Features with the Stochastic Gravitational Wave Background
• Generation of gravitational waves during early structure formation between cosmic inflation and reheating
• Primordial black hole formation in inflationary $\alpha$-attractor models
• Resonant features in the stochastic gravitational wave background
• Mechanisms of Producing Primordial Black Holes By Breaking The SU(2,1)/SU(2)$\times$U(1) Symmetry
• Late time sky as a probe of steps and oscillations in primordial Universe

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