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Constraining Primordial Black Hole Formation from Single-Field Inflation

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arxiv 2211.03395 v3 pith:ST32JSI4 submitted 2022-11-07 hep-th astro-ph.CO

classification hep-thastro-ph.CO
keywords blackprimordialformationholeinflationlarge-scalepowersingle-field
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The most widely studied formation mechanism of a primordial black hole is collapse of large-amplitude perturbation on small scales generated in single-field inflation. In this Letter, we calculate one-loop correction to the large-scale power spectrum in a model with sharp transition of the second slow-roll parameter. We find that models producing an appreciable amount of primordial black holes induce nonperturbative coupling on a large scale probed by cosmic microwave background radiation. Our result implies that a small-scale power spectrum can be constrained by large-scale cosmological observations.

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Cited by 24 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

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  7. Inflationary background renormalization

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  8. Light Scalar Fields Foster Production of Primordial Black Holes

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  11. Finite parts of inflationary loops

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    A new dimensional-regularization procedure extracts complete finite parts of inflationary loop integrals, yielding a regulator-independent one-loop tensor power spectrum in slow-roll inflation with no late-time divergence.

  12. How Dilatation Invariance Suppresses Loop Corrections to Curvature Perturbations on CMB Scales

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    Dilatation invariance forces the non-linear curvature perturbation on super-Hubble scales to depend only on the decaying/growing mode, suppressing loop corrections to the CMB power spectrum even with sharp transitions.

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  14. One-loop corrections to infrared GWs is forbidden by symmetries

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  15. Incorporating Backreaction in One-Loop Corrections in Ultra-Slow-Roll Inflation

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    Including the backreaction of quantum fluctuations on the background inflaton cancels the one-loop superhorizon corrections to the curvature power spectrum in ultra-slow-roll inflation.

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  17. One-loop corrections to the E-type $\alpha$-attractor models of inflation and primordial black hole production

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    For E-type alpha-attractor inflation models tuned to produce asteroid-mass primordial black holes, the one-loop correction from cubic interactions is only a few percent of the tree-level power spectrum.

  18. A complete analysis of inflation with piecewise quadratic potential

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    A new parameter alpha governs the amplitude, slope, and dip of the curvature power spectrum in piecewise quadratic two-stage inflation, with maximum growth k^5(log k)^2.

  19. Two-loop corrections in power spectrum in models of inflation with PBHs formation

    hep-ph 2024-11 conditional novelty 5.0 of 10

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  20. One-Loop Tensor Power Spectrum from a Non-Canonical Spectator Field during Inflation

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  21. Tensor induced gravitational waves

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    Second-order tensor-induced gravitational waves can shift the inferred parameters of small-scale primordial gravitational wave models fitted to NANOGrav 15-year data, with one model favored by Bayes factors.

  22. Cosmological constraints on small-scale primordial non-Gaussianity

    astro-ph.CO 2025-05 conditional novelty 4.0 of 10

    Current pulsar-timing, CMB, BAO and PBH data constrain the small-scale local f_NL to -10.0 < f_NL < 1.2 for a monochromatic primordial power spectrum, with that constraint conditional on the spectral amplitude A_zeta = 10^-2.

  23. Conservation of superhorizon curvature perturbations at one loop: Backreaction in the in-in formalism and Renormalization

    astro-ph.CO 2025-02 conditional novelty 4.0 of 10

    Superhorizon curvature perturbations remain conserved at one-loop order in single-field inflation with a transient non-slow-roll period when backreaction and renormalization are included.

  24. RG-Flow Renormalized One-Loop Corrections to the Power Spectrum in USR Inflation

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    A cutoff-regularized, in-in calculation of cubic, quartic, and tadpole one-loop corrections finds the USR fractional correction scales as P_CMB e^{6ΔN}, confirming the sharp-transition loop-enhancement debate's original side.

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