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

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

Sayantan Choudhury
(
- SGT U., Gurugram
)
,
Mayukh R. Gangopadhyay
(
- SGT U., Gurugram
)
,
M. Sami
(
)

Jan 24, 2023

46 pages

Published in:

Eur.Phys.J.C 84 (2024) 9, 884,
Eur.Phys.J.C 84 (2024) 884

Published: Sep 2, 2024

e-Print:

2301.10000 [astro-ph.CO]

DOI:

10.1140/epjc/s10052-024-13218-2

View in:

ADS Abstract Service

reference search112 citations

Citations per year

Abstract: (Springer)

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,

M_\textrm{PBH}\sim 10^{2}\,\textrm{g}\hat{\textrm{a}}

la a no-go theorem. In particular, we find that the produced PBHs are short lived (

t^\textrm{evap}_\textrm{PBH}\sim 10^{-20}\,\textrm{s}

) and the corresponding number of e-folds in the USR region is restricted to

\Delta {\mathcal {N}}_\textrm{USR}\approx 2

.

Note:

46 pages, 4 figures, Substantially revised version, Reference added and all the typos corrected, Comments are welcome, Revised version accepted for publication in European Physical Journal C

black hole: primordial
power spectrum: primordial
inflation: model
black hole: formation
renormalization group
black hole: mass
loop integral
slow-roll approximation
cosmological model
space: de Sitter

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