Mechanism of primordial black holes production and secondary gravitational waves in ?-attractor Galileon inflationary scenario

We study the process of Primordial Black Holes (PBHs) production in novel framework, namely $\alpha$-attractor Galileon inflation (G-inflation) model. In our we take function as $G(\phi)=G_{I}(\phi)\left(1+G_{II}(\phi)\right)$, where part $G_{I}(\phi)$ is motivated from inflationary scenario its original non-canonical frame, and it ensures for model to be consistent with Planck 2018 observations at CMB scales. The $G_{II}(\phi)$ invoked enhance curvature perturbations some smaller scales which turn gives rise PBHs formation. By fine-tuning parameters, find three parameter sets successfully produce a sufficiently large peak power spectrum. show that these masses ${\cal O}(10)M_\odot$, O}(10^{-5})M_\odot$, O}(10^{-13})M_\odot$ can explain LIGO events, ultrashort-timescale microlensing events OGLE data, around $0.98\%$ current Dark Matter (DM) content universe, respectively. Additionally, secondary Gravitational Waves (GWs) setup anticipates their present fractional energy density $\Omega_{GW0} \sim 10^{-8}$ all sets, but different frequencies. These predictions located well inside sensitivity region GWs detectors, therefore compatibility assessed light future data. further estimate tilts included spectrum ranges frequency, confirm follows power-law relation $\Omega_{GW0}\sim f^{n}$ those frequency bands.