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

Ji-Xiang Zhao, Xiao-Hui Liu, Nan Li

A perturbation on the background inflaton potential can lead inflation into the ultraslow-roll stage and can thus remarkably enhance the power spectrum ${\mathcal{P}}_{\mathcal{R}}(k)$ of th…