Primordial black holes and secondary gravitational waves from generalized power-law non-canonical Higgs inflation

Author:

Soma Heydari, Kayoomars Karami

Keyword:

General Relativity and Quantum Cosmology, General Relativity and Quantum Cosmology (gr-qc)

journal:

date:

2023-10-16 16:00:00

Abstract

Primordial Black Holes (PBHs) could be promising candidate for not only the Dark Matter (DM) content of the universe but also the source of Gravitational Waves (GWs) observed by Ligo-Virgo. In the present work, generation of PBHs and secondary GWs from non-canonical Higgs inflation have been probed. It is elucidated that, Higgs potential in non-canonical setup with a generalized power-law Lagrangian density can source a consistent inflationary era with the latest observational data. Besides, we show that our model satisfies the swampland criteria. At the same time, defining a peaked function of inflaton field as non-canonical mass scale parameter $M(\phi)$ of the Lagrangian, gives rise to slow down the inflaton in a while. In this interim, namely Ultra-Slow-Roll (USR) stage, the amplitude of the curvature perturbations on small scales enlarges versus CMB scales. It has been illustrated that, further to the peaked aspect of the chosen non-canonical mass scale parameter, the amount of $\alpha$ parameter of the Lagrangian has enlarging impact on the amplitude of the scalar perturbations. As a consequence of adjusting three parameter Cases of this model, three Cases of PBHs in proper mass scopes to explain LIGO-VIRGO events, microlensing events in OGLE data and DM content in its totality, could be produced. It is indicated that, current density parameter spectra $(\Omega_{\rm GW_0})$ of the coeval GWs with these PBHs can be traced by various GWs observatories. In the end, power-law behavior of the spectra of $\Omega_{\rm GW_0}$ in terms of frequency has been examined. The logarithmic power index as $n=3-2/\ln(f_c/f)$ in the infrared regime is obtained for each Case of the model.

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