Abstract:
We examine the possibility of Primordial Black
Holes (PBHs) formation in single field models of inflation.
Using the adiabatic or wave function renormalization scheme
in the short range modes, we show that one-loop correction
to the power spectrum is free from quadratic UV divergence.
We consider a framework in which PBHs are produced during
the transition from Slow Roll (SR) to Ultra Slow Roll (USR)
followed by the end of inflation. We demonstrate that the
renormalized power spectrum soften the contribution of the
logarithmic IR divergence and severely restricts the possible
mass range of produced PBHs in the said transition, namely,
MPBH ∼ 102 g aˆla a no-go theorem. In particular, we find
that the produced PBHs are short lived (t
evap
PBH ∼ 10−20 s) and
the corresponding number of e-folds in the USR region is
restricted to NUSR ≈ 2.
