Primordial Black Holes and Scalar-induced Gravitational Waves in Radiative Hybrid Inflation

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Main Authors: Afzal, Adeela, Ghoshal, Anish
Format: Preprint
Published: 2024
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author Afzal, Adeela
Ghoshal, Anish
author_facet Afzal, Adeela
Ghoshal, Anish
contents We study the possibility that primordial black holes (PBHs) can be formed from large curvature perturbations generated during the waterfall phase transition due to the effects of one-loop radiative corrections of Yukawa couplings between the inflaton and a dark fermion in a non-supersymmetric hybrid inflationary model. We obtain a spectral index $n_s$, and a tensor-to-scalar ratio $r$, consistent with the current Planck data. We identify parameter space where PBHs can be the entire dark matter (DM) candidate of the universe or a fraction of it. Our predictions are consistent with any existing constraints of PBH from microlensing, BBN, CMB, etc. Moreover, the scenario is also testable via induced gravitational waves (GWs) from first-order scalar perturbations detectable in future observatories such as LISA and ET. For instance, with inflaton mass $m \sim 2\times 10^{12}$ GeV, $m_N \sim 5.4\times 10^{15}$ GeV, we obtain PBHs of around $10^{-13}\, M_\odot$ mass that can explain the entire abundance of DM and predict GWs with amplitude $Ω_{\rm GW}h^2$ $\sim 10^{-9}$ with peak frequency $f$ $\sim$ $0.1$ Hz in LISA. By explicitly estimating fine-tuning we show that the model has very mild tuning. We discuss successful reheating at the end of the inflationary phase via the conversion of the waterfall field into standard model (SM) particles. We also briefly speculate a scenario where the dark fermion can be a possible heavy right-handed neutrino (RHN) which is responsible for generating the SM neutrino masses via the seesaw mechanism. The RHN can be produced due to waterfall field decay and its subsequent decay may also explain the observed baryon asymmetry in the universe via leptogenesis. We find the reheat temperature $T_R\lesssim5\times10^9$~GeV that explains the matter-anti-matter asymmetry of the universe.
format Preprint
id arxiv_https___arxiv_org_abs_2402_06613
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Primordial Black Holes and Scalar-induced Gravitational Waves in Radiative Hybrid Inflation
Afzal, Adeela
Ghoshal, Anish
Cosmology and Nongalactic Astrophysics
High Energy Physics - Phenomenology
High Energy Physics - Theory
We study the possibility that primordial black holes (PBHs) can be formed from large curvature perturbations generated during the waterfall phase transition due to the effects of one-loop radiative corrections of Yukawa couplings between the inflaton and a dark fermion in a non-supersymmetric hybrid inflationary model. We obtain a spectral index $n_s$, and a tensor-to-scalar ratio $r$, consistent with the current Planck data. We identify parameter space where PBHs can be the entire dark matter (DM) candidate of the universe or a fraction of it. Our predictions are consistent with any existing constraints of PBH from microlensing, BBN, CMB, etc. Moreover, the scenario is also testable via induced gravitational waves (GWs) from first-order scalar perturbations detectable in future observatories such as LISA and ET. For instance, with inflaton mass $m \sim 2\times 10^{12}$ GeV, $m_N \sim 5.4\times 10^{15}$ GeV, we obtain PBHs of around $10^{-13}\, M_\odot$ mass that can explain the entire abundance of DM and predict GWs with amplitude $Ω_{\rm GW}h^2$ $\sim 10^{-9}$ with peak frequency $f$ $\sim$ $0.1$ Hz in LISA. By explicitly estimating fine-tuning we show that the model has very mild tuning. We discuss successful reheating at the end of the inflationary phase via the conversion of the waterfall field into standard model (SM) particles. We also briefly speculate a scenario where the dark fermion can be a possible heavy right-handed neutrino (RHN) which is responsible for generating the SM neutrino masses via the seesaw mechanism. The RHN can be produced due to waterfall field decay and its subsequent decay may also explain the observed baryon asymmetry in the universe via leptogenesis. We find the reheat temperature $T_R\lesssim5\times10^9$~GeV that explains the matter-anti-matter asymmetry of the universe.
title Primordial Black Holes and Scalar-induced Gravitational Waves in Radiative Hybrid Inflation
topic Cosmology and Nongalactic Astrophysics
High Energy Physics - Phenomenology
High Energy Physics - Theory
url https://arxiv.org/abs/2402.06613