No-go for the formation of heavy mass Primordial Black Holes in Single Field Inflation

Understand

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 softens the contribution of the logarithmic IR divergence and severely restricts the possible mass range of produced PBHs in the said transition, namely, $M_{\rm PBH}\sim 10^{2}{\rm gm}$ ala a no-go theorem.