Non-gaussianities for primordial black hole formation

Abstract

We analyze primordial non-gaussianities in presence of an ultra-slow phase during the inflationary dynamics, focusing on scenarios relevant for the production of primordial black holes. We compute the three-point correlation function of comoving curvature perturbations finding that non-gaussianities are sizable, and predominantly local. In the context of threshold statistics, we analyze their impact for the abundance of primordial black holes, and their interplay with the non-gaussianities arising from the non-linear relation between density and curvature perturbations. We find that non-gaussianities significantly modify the estimate of the primordial black holes abundance obtained with the gaussian approximation. However, we show that this effect can be compensated by a small change, of a factor $2÷3$ at most, of the amplitude of the primordial power spectrum of curvature perturbations. This is obtained with a small tuning of the parameters of the inflationary model.

29 pages, 10 figures. V2: minor changes, matches version to appear in JCAP

References in corpus (10)

• Observational Signatures and Non-Gaussianities of General Single Field Inflation
• Primordial black hole dark matter from single field inflation
• Calculating the mass spectrum of primordial black holes
• The Threshold for Primordial Black Hole Formation: a Simple Analytic Prescription
• Single-field inflation, anomalous enhancement of superhorizon fluctuations, and non-Gaussianity in primordial black hole formation
• Non-Gaussian tail of the curvature perturbation in stochastic ultra-slow-roll inflation: implications for primordial black hole production
• Effect of nonlinearity between density and curvature perturbations on the primordial black hole formation
• Stochastic inflationary dynamics beyond slow-roll and consequences for primordial black hole formation
• On tidal capture of primordial black holes by neutron stars
• Numerically modeling stochastic inflation in slow-roll and beyond

Cited by in corpus (5)

• Non-Gaussianity in inflationary scenarios for primordial black holes
• Large power spectrum and primordial black holes in the effective theory of inflation
• CMB $\mu T$ cross-correlations as a probe of PBH scenarios
• Baryogenesis from ultra-slow-roll inflation
• Constant-rate inflation: primordial black holes from conformal weight transitions