Obviating PBH overproduction for SIGWs generated by Pulsar Timing Arrays in loop corrected EFT of bounce

Abstract

In order to unravel the present situation of the PBH overproduction problem, our study emphasizes the critical role played by the equation of state (EoS) parameter $w$ within the framework of effective field theory (EFT) of non-singular bounce. Our analysis focuses on a wide range of EoS parameter values that are still optimal for explaining the latest data from the pulsar timing array (PTA). As a result of our study, the most advantageous window, $0.31\le w\le 1/3$, is identified as the location of a substantial PBH abundance, $f_{\mathrm{PBH}}\in (10^{-3},1)$ with large mass PBHs, $M_{\mathrm{PBH}}\sim \mathcal{O}(10^{-7}-10^{-3})M_{\odot }$, in the SIGW interpretation of the PTA signal. When confronted with PTA, we find that the overproduction avoiding circumstances are between $1\sigma -2\sigma$, while the EoS parameter lies inside the narrow window, $0.31<w\le 1/3$. We propose a regularized-renormalized-resummed (RRR) scalar power spectrum that is large enough to produce EoS dependent scalar generated gravitational waves compatible with PTA evidence, while satisfying the perturbativity, causality, and unitarity criteria, within the range of $0.88\le c_s\le 1$.

32 pages (17 pages material+ 1-page Appendix+ 14 pages refs), 6 figures, Reference updated, Comments are welcome, Accepted for publication in Journal of Cosmology and Astroparticle Physics (Direct Editorial Acceptance)

References in corpus (55)

• The Effective Field Theory of Inflation
• Primordial Black Holes as Dark Matter
• Limits on the Macho Content of the Galactic Halo from the EROS-2 Survey of the Magellanic Clouds
• Primordial Black Holes as Dark Matter: Recent Developments
• Gravitational Wave Spectrum Induced by Primordial Scalar Perturbations
• Effective Field Theory for Inflation
• The merger rate of primordial-black-hole binaries
• Constraints on Earth-mass primordial black holes from OGLE 5-year microlensing events
• The NANOGrav 15-year Data Set: Constraints on Supermassive Black Hole Binaries from the Gravitational Wave Background
• Primordial black hole dark matter from single field inflation
• A Critical Review of Classical Bouncing Cosmologies
• New Ekpyrotic Cosmology
• Cosmological Collider Physics
• Generating Ekpyrotic Curvature Perturbations Before the Big Bang
• Bouncing Cosmology in f(Q) Symmetric Teleparallel Gravity
• Mimetic $F(R)$ gravity: inflation, dark energy and bounce
• The Effective Field Theory of nonsingular cosmology
• Non-singular cosmology in a model of non-relativistic gravity
• Cosmology without inflation
• Single-field inflation, anomalous enhancement of superhorizon fluctuations, and non-Gaussianity in primordial black hole formation
• Gravitational waves induced from primordial black hole fluctuations: The effect of an extended mass function
• Bounce and cyclic cosmology in extended nonlinear massive gravity
• Bell violation in the Sky
• Bell violation in primordial cosmology
• Primordial black holes from metric preheating: mass fraction in the excursion-set approach
• Can Effective Field Theory of inflation generate large tensor-to-scalar ratio within Randall Sundrum single braneworld?
• The Primordial Black Hole Formation from Single-Field Inflation is Still Not Ruled Out
• Primordial black holes formation in the inflationary model with field-dependent kinetic term for quartic and natural potentials
• Constraining $\mathcal{N}=1$ supergravity inflationary framework with non-minimal Kähler operators
• Observational imprints of enhanced scalar power on small scales in ultra slow roll inflation and associated non-Gaussianities
• On the Effective Field Theory for Quasi-Single Field Inflation
• First post-Newtonian $N$-body problem in Einstein-Cartan theory with the Weyssenhoff fluid: Lagrangian and first integrals
• Reconstruction of Primordial Power Spectrum of curvature perturbation from the merger rate of Primordial Black Hole Binaries
• Mechanisms of Producing Primordial Black Holes By Breaking The SU(2,1)/SU(2)$\times$U(1) Symmetry
• A Note on the Abundance of Primordial Black Holes: Use and Misuse of the Metric Curvature Perturbation
• Analytical results for binary dynamics at the first post-Newtonian order in Einstein-Cartan theory with the Weyssenhoff fluid
• An Overview on the Nature of the Bounce in LQC and PQM
• Radiative losses and radiation-reaction effects at the first post-Newtonian order in Einstein-Cartan theory
• E-models of inflation and primordial black holes
• Constraining $\mathcal{N}=1$ supergravity inflation with non-minimal Kähler operators using $\delta N$ formalism
• Pre-inflationary primordial perturbations
• First post-Newtonian $N$-body problem in Einstein-Cartan theory with the Weyssenhoff fluid: equations of motion
• Bouncing cosmology from warped extra dimensional scenario
• Primordial black holes and their gravitational-wave signatures
• Mechanism of primordial black holes production and secondary gravitational waves in $\alpha$-attractor Galileon inflationary scenario
• The Cosmological OTOC: Formulating new cosmological micro-canonical correlation functions for random chaotic fluctuations in Out-of-Equilibrium Quantum Statistical Field Theory
• Decoherence out of fire: Purity loss in expanding and contracting universes
• Probing the high temperature symmetry breaking with gravitational waves from domain walls
• Cosmic Decoherence: Massive Fields
• Bouncing cosmology in a curved braneworld
• Fitting power spectrum of scalar perturbations for primordial black hole production during inflation
• NANOGrav Signal and PBH from the Modified Higgs Inflation
• A Stiff Pre-CMB Era with a Mildly Blue-tilted Tensor Inflationary Era can Explain the 2023 NANOGrav Signal
• A gauge invariant prescription to avoid $\gamma$-crossing instability in Galileon bounce
• Renormalized Primordial Black Holes

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