No-go for the formation of heavy mass Primordial Black Holes in Single Field Inflation

Abstract

We examine the possibility of Primordial Black Holes (PBHs) formation in single-field models of inflation. Using the adiabatic or wave function renormalization scheme in the short-range modes, we show that one-loop correction to the power spectrum is free from quadratic UV divergence. We consider a framework in which PBHs are produced during the transition from Slow Roll (SR) to Ultra Slow Roll (USR) followed by the end of inflation. We demonstrate that the renormalized power spectrum softens the contribution of the logarithmic IR divergence and severely restricts the possible mass range of produced PBHs in the said transition, namely, $M_{\mathrm{PBH}}\sim 10^2\mathrm{gm}$ ala a no-go theorem. In particular, we find that the produced PBHs are short-lived ($t_{\mathrm{PBH}}^{\mathrm{evap}}\sim 10^{-20}\sec$) and the corresponding number of e-folds in the USR region is restricted to $\Delta N_{\mathrm{USR}}\approx 2$.

46 pages, 4 figures, Substantially revised version, Reference added and all the typos corrected, Comments are welcome, Revised version accepted for publication in European Physical Journal C

References in corpus (51)

• The Effective Field Theory of Inflation
• Primordial Black Holes as Dark Matter
• Primordial Black Holes as Dark Matter: Recent Developments
• Gravitational Wave Spectrum Induced by Primordial Scalar Perturbations
• The merger rate of primordial-black-hole binaries
• Primordial black hole dark matter from single field inflation
• Non-Gaussianity as a Particle Detector
• On the consistency relation of the 3-point function in single field inflation
• On the one loop corrections to inflation and the CMB anisotropies
• Ultra slow-roll inflation demystified
• NANOGrav Signal from the End of Inflation and the LIGO Mass and Heavier Primordial Black Holes
• Solving puzzles of GW150914 by primordial black holes
• Single-field inflation, anomalous enhancement of superhorizon fluctuations, and non-Gaussianity in primordial black hole formation
• Gravitational waves induced from primordial black hole fluctuations: The effect of an extended mass function
• Non-perturbative non-Gaussianity and primordial black holes
• PBH formation in EFT of single field inflation with sharp transition
• Primordial black holes in peak theory with a non-Gaussian tail
• Constraining Primordial Black Hole Formation from Single-Field Inflation
• Galileon inflation evades the no-go for PBH formation in the single-field framework
• Primordial Black Holes from Multifield Inflation with Nonminimal Couplings
• Power spectrum of primordial perturbations during ultra-slow-roll inflation with back reaction effects
• On the Physical Significance of Infra-red Corrections to Inflationary Observables
• Primordial Black Holes Arise When The Inflaton Falls
• Accounting for scalar non-Gaussianity in secondary gravitational waves
• On Primordial Black Holes and secondary gravitational waves generated from inflation with solo/multi-bumpy potential
• Note on the bispectrum and one-loop corrections in single-field inflation with primordial black hole formation
• Stochastic inflationary dynamics beyond slow-roll and consequences for primordial black hole formation
• On Adiabatic Renormalization of Inflationary Perturbations
• Primordial black holes and induced gravitational waves in $k$-inflation
• Primordial black holes from metric preheating: mass fraction in the excursion-set approach
• One-loop correction to the enhanced curvature perturbation with local-type non-Gaussianity for the formation of primordial black holes
• Can Effective Field Theory of inflation generate large tensor-to-scalar ratio within Randall Sundrum single braneworld?
• Primordial Black-Hole Dark Matter via Warm Natural Inflation
• Large power spectrum and primordial black holes in the effective theory of inflation
• Inflation is always semi-classical: Diffusion domination overproduces Primordial Black Holes
• Primordial black holes formation in the inflationary model with field-dependent kinetic term for quartic and natural potentials
• Constraining $\mathcal{N}=1$ supergravity inflationary framework with non-minimal Kähler operators
• Reconstruction of Primordial Power Spectrum of curvature perturbation from the merger rate of Primordial Black Hole Binaries
• Primordial black holes and secondary gravitational waves from string inspired general no-scale supergravity
• Mechanisms of Producing Primordial Black Holes By Breaking The SU(2,1)/SU(2)$\times$U(1) Symmetry
• Gravity Waves and Primordial Black Holes in Scalar Warm Little Inflation
• Secondary GWs and PBHs in string inflation: formation and detectability
• Formation of primordial black holes after Starobinsky inflation
• Beating the Lyth bound by parametric resonance during inflation
• Production of Primordial Black Holes via Single Field Inflation and Observational Constraints
• Lectures on Inflation
• The Impact of Ultraviolet Regularization on the Spectrum of Curvature Perturbations During Inflation
• One-loop corrections to the power spectrum in general single-field inflation
• Non-Gaussianity effects on the primordial black hole abundance for sharply-peaked primordial spectrum
• Baryogenesis from ultra-slow-roll inflation
• Primordial blackholes from Gauss-Bonnet-corrected single field inflation

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• Primordial black holes and induced gravitational waves from double-pole inflation
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• Comparing sharp and smooth transitions of the second slow-roll parameter in single-field inflation
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• Proving the absence of large one-loop corrections to the power spectrum of curvature perturbations in transient ultra-slow-roll inflation within the path-integral approach
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• Obviating PBH overproduction for SIGWs generated by Pulsar Timing Arrays in loop corrected EFT of bounce
• Regularized-Renormalized-Resummed loop corrected power spectrum of non-singular bounce with Primordial Black Hole formation
• Conservation of superhorizon curvature perturbations at one loop: Backreaction in the in-in formalism and Renormalization
• Untangling PBH overproduction in $w$-SIGWs generated by Pulsar Timing Arrays for MST-EFT of single field inflation
• Incorporating Backreaction in One-Loop Corrections in Ultra-Slow-Roll Inflation
• Primordial Black Holes from Effective Field Theory of Stochastic Single Field Inflation at NNNLO
• Primordial regular black holes as all the dark matter. III. Covariant canonical quantum gravity models
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• One-loop corrections to the E-type $\alpha$-attractor models of inflation and primordial black hole production
• Negative non-Gaussianity as a salvager for PBHs with PTAs in bounce
• Stochastic origin of primordial fluctuations in the Sky
• Generating large primordial fluctuations in single-field inflation for PBH formation
• Stochastic Inflation with Interacting Noises
• Inflation with vector fields revisited: heavy entropy perturbations and primordial black holes
• Effect of stochastic kicks on primordial black hole abundance and mass via the compaction function