Quantum Loop effects to Primordial perturbations at the end of Type III hilltop inflation models

Abstract

In this work, we analytically calculate the spectra of primordial perturbations at the end of Type III hilltop inflation models under the slow-roll approximation. We examine the one-loop corrections of the spectra and find that those from the inflaton self-interaction are negligible. On the contrary, the loop effects from the interaction between the inflaton field and the waterfall field can be significant when the vacuum expectation value of the waterfall field is small. The implications are discussed.