Primordial black holes and secondary gravitational waves from generalized power-law non-canonical inflation with quartic potential

TL;DR

This paper explores how a generalized power-law non-canonical inflation model with a quartic potential can produce primordial black holes and secondary gravitational waves consistent with observations, satisfying swampland criteria.

Contribution

It introduces a novel non-canonical inflation framework with a peaked mass scale parameter that enhances small-scale perturbations and generates PBHs and GWs matching observational data.

Findings

PBHs can explain LIGO-VIRGO events, microlensing, and dark matter.

The model satisfies latest observational and swampland constraints.

The gravitational wave spectrum exhibits a specific power-law behavior in the infrared.

Abstract

Here, generation of PBHs and secondary GWs from non-canonical inflation with quartic potential have been probed. It is illustrated that, quartic 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 span, 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. In the end, power-law behavior of the current density parameter of gravitational waves $\Omega_{\rm GW_0}$ in terms of frequency has been examined. Also, the logarithmic power index as $n=3-2/\ln(f_c/f)$ in the infrared regime is obtained.