Modulated Inflation Models and Primordial Black Holes

Abstract

For the first time, the running of the running of the spectral index ${\beta }_s$ has been measured by Planck. This parameter is crucial for dark matter Primordial Black Holes (PBHs) formation. We study the PBHs formation in inflation potentials with superimposed periodic oscillations. We show that the value of ${\beta }_s$ suggested by the recent cosmic microwave background data is easily explained in these models. As a by-product, we also show that the nonproduction of (long--lived) PBHs puts a stronger upper bound on ${\beta }_s$.

17 pages, 9 figures, matches the published version

References in corpus (12)

• Monodromy in the CMB: Gravity Waves and String Inflation
• The Best Inflationary Models After Planck
• Generalised constraints on the curvature perturbation from primordial black holes
• The 21cm angular-power spectrum from the dark ages
• Inflation and the Scale Dependent Spectral Index: Prospects and Strategies
• The Fast Fourier Transform Telescope
• New Universal Local Feature in the Inflationary Perturbation Spectrum
• Is a step in the primordial spectral index favored by CMB data ?
• Inflationary Potential Reconstruction for a WMAP Running Power Spectrum
• Constraints on the primordial curvature perturbation from primordial black holes
• Observing trans-Planckian ripples in the primordial power spectrum with future large scale structure probes
• Running of Running of the Spectral Index and WMAP Three-year data

Cited by in corpus (7)

• Massive Primordial Black Holes from Hybrid Inflation as Dark Matter and the seeds of Galaxies
• Calculating the mass spectrum of primordial black holes
• Primordial black holes dark matter from inflection point models of inflation and the effects of reheating
• On the slope of curvature power spectrum in non-attractor inflation
• Small scale induced gravitational waves from primordial black holes, a stringent lower mass bound, and the imprints of an early matter to radiation transition
• Subleading Effects and the Field Range in Axion Inflation
• Stellar mass Primordial Black Holes as Cold Dark Matter