https://doi.org/10.1140/epjc/s10052-024-13218-2
Regular Article – Theoretical Physics
No-go for the formation of heavy mass Primordial Black Holes in Single Field Inflation
1
Centre For Cosmology and Science Popularization (CCSP), SGT University, 122505, Gurugram, Delhi-NCR, Haryana, India
2
Center for Theoretical Physics, Eurasian National University, 010008, Astana, Kazakhstan
3
Chinese Academy of Sciences, 52 Sanlihe Rd, Xicheng District, Beijing, China
a
sayantan_ccsp@sgtuniversity.org
Received:
14
February
2024
Accepted:
9
August
2024
Published online:
2
September
2024
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, 
la a no-go theorem. In particular, we find that the produced PBHs are short lived (
) and the corresponding number of e-folds in the USR region is restricted to 
.
© The Author(s) 2024
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