Primordial black holes and secondary gravitational waves from chaotic inflation

Understand

Chaotic inflation is inconsistent with the observational constraint at 68\% CL.

• Here, we show that the enhancement mechanism with a peak function in the noncanonical kinetic term not only helps the chaotic model $V(\phi)=V_0\phi^{1/3}$ satisfy the observational constraint at large scales but also enhances the primordial scalar power spectrum by seven orders of magnitude at small scales.
• The enhanced curvature perturbations can produce primordial black holes of different masses and secondary gravitational waves with different peak frequencies.
• We also show that the non-Gaussianities of curvature perturbations have little effect on the abundance of primordial black holes and energy density of the scalar-induced secondary gravitational waves.