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Multiple Field Ultra Slow Roll Inflation: Primordial Black Holes From Straight Bulk And Distorted Boundary

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arxiv 2201.07258 v2 pith:M5WSLSJ5 submitted 2022-01-18 astro-ph.CO gr-qchep-th

Sina Hooshangi , Alireza Talebian , Mohammad Hossein Namjoo , Hassan Firouzjahi This is my paper · ORCID
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keywords boundarycurvatureabundanceblackfieldholesinflationnon-linear
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abstract

We study a model of two-field ultra-slow-roll (USR) inflation bounded by a curve in the field space. Curvature perturbations and non-Gaussianities can be enhanced both during the USR phase and from the inhomogeneities at the boundary. We employ the full non-linear $\delta N$ formalism to calculate the probability distribution function (PDF) for curvature perturbation non-perturbatively and show that the non-linear effects can significantly enhance the abundance of the primordial black holes (PBHs). For large curvature perturbations, the PDF has a universal exponential tail, but for the intermediate values, the PDF -- and, therefore, the abundance of the PBHs -- depend sensitively on the geometry of the boundary.

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Cited by 3 Pith papers

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

  1. It\^{o}, Stratonovich, and zoom-in schemes in stochastic inflation

    astro-ph.CO 2024-11 accept novelty 6.0 of 10

    An alternating drift-and-kick 'zoom-in' scheme for stochastic inflation is equivalent to the Itô interpretation, and the Itô-Stratonovich difference vanishes in the full non-Markovian setup.

  2. Evolution of Linear Perturbations under Time-Dependent Hubble Friction I: SR-USR-SR Inflation

    gr-qc 2026-02 conditional novelty 5.0 of 10

    Analytic asymptotics show the dip in the SR-USR-SR curvature power spectrum comes from cancellation between two growing modes, not a constant-versus-growing cancellation.

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

    astro-ph.CO 2024-11 reject novelty 4.0 of 10

    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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