Quantum loop effects on the power spectrum and constraints on primordial black holes
Choudhury S. Panda S. Sami M.
1 November 2023Institute of Physics
Journal of Cosmology and Astroparticle Physics
2023#2023Issue 11
We present a detailed exposition on the prospects of the formation of Primordial Black Holes (PBHs) during Slow Roll (SR) to Ultra Slow Roll (USR) sharp transitions in the framework of single-field inflation. We use an effective field theory (EFT) approach in order to keep the analysis model-independent and applicable to both the canonical and non-canonical cases. We show in detail how renormalizing the power spectrum to one loop order in P(X,ϕ) theories severely limits the prospects for PBH formation in a single-field inflationary framework. We demonstrate that for the allowed range of effective sound speed, 1 < cs < 1.17, the consistency of one-loop corrected power spectrum leaves a small window for black hole masses, M PBH(102-103)gm to have sufficient e-foldings, Total (54-59) for inflation. We confirm that adding an SR regime after USR before the end of inflation does not significantly alter our conclusions. Our findings for sharp transition strictly rule out the possibility of generating large masses of PBHs from all possible models of single field inflation (canonical and non-canonical). Our results are at least valid for the situation where constraints from the loop effects are computed using either Late-Time (LT) or Adiabatic-Wave function (AF) scheme followed by Power Spectrum (PS) renormalization schemes..
cosmological perturbation theory , inflation , physics of the early universe , primordial black holes
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Centre For Cosmology and Science Popularization (CCSP), SGT University, Haryana Delhi NCR, Gurugram, 122505, India
School of Physical Sciences, National Institute of Science Education and Research, Odisha, Bhubaneswar, 752050, India
Homi Bhabha National Institute, Training School Complex, Anushakti Nagar, Mumbai, 400085, India
Center for Theoretical Physics, Eurasian National University, Astana, 010008, Kazakhstan
Chinese Academy of Sciences, 52 Sanlihe Rd, Xicheng District, Beijing, China
Centre For Cosmology and Science Popularization (CCSP)
School of Physical Sciences
Homi Bhabha National Institute
Center for Theoretical Physics
Chinese Academy of Sciences
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