Primordial black holes and scalar-induced gravitational waves from the perturbations on the inflaton potential in peak theory - INSPIRE

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Primordial black holes and scalar-induced gravitational waves from the perturbations on the inflaton potential in peak theory

Feb 13, 2023

12 pages

Published in:

Phys.Rev.D 107 (2023) 4, 043515

Published: Feb 13, 2023

e-Print:

2302.06886 [astro-ph.CO]

DOI:

10.1103/PhysRevD.107.043515 (publication)

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Abstract: (APS)

A perturbation on the background inflaton potential can lead inflation into the ultraslow-roll stage and can thus remarkably enhance the power spectrum

P_{R} (k)

of the primordial curvature perturbation on small scales. Such an enhanced

P_{R} (k)

will result in primordial black holes (PBHs), contributing a significant fraction of dark matter, and will simultaneously generate sizable scalar-induced gravitational waves (SIGWs) as a second-order effect. In this work, we calculate the PBH abundances

f_{PBH} (M)

and SIGW spectra

Ω_{GW} (f)

in peak theory. We obtain the PBHs with desirable abundances in one or two typical mass windows at

10^{- 17} M_{⊙}

,

10^{- 13} M_{⊙}

, and

30 M_{⊙}

, respectively. At the same time, the relevant SIGWs are expected to be observed by the next-generation gravitational wave detectors, without spoiling the current constraint. Especially, the SIGW associated with the PBH of

30 M_{⊙}

can also interpret the potential isotropic stochastic gravitational wave background from the NANOGrav 12.5-year dataset.

Note:

22 pages, 6 figures

inflaton: potential
black hole: primordial
curvature: primordial
gravitational radiation: background
gravitational radiation: stochastic
curvature: perturbation
current: constraint
NANOGrav
dark matter
power spectrum

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