Traversing a kinetic pole during inflation: primordial black holes and gravitational waves

Abstract

We consider an inflationary kinetic function with an integrable polethat is traversed during inflation.This scenario leads to enhanced spectra of primordial scalar inhomogeneities with detectable signals:formation of primordial black holes(that could explain Dark Matter) andscalar-induced gravitational waves (that couldreproduce the recent Pulsar Timing Array observation, or predict signals in future detectors such as LISA or ET).Spectral signatures depend on whether the inflaton mass dimensionat the pole is above or below 2.Values mildly below 2 allow a big power spectrum enhancement with a mild tuning.Finally, we discuss the possibility that a kinetic pole can arise as anomalousdimension of the inflaton due to quantum effects of Planckian particles that becomelight at some specific inflaton field value.