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Loop Corrections in Bispectrum in USR Inflation with PBHs Formation

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arxiv 2403.03841 v2 pith:72MG5GEM submitted 2024-03-06 astro-ph.CO gr-qchep-th

Hassan Firouzjahi This is my paper · ORCID
classification astro-ph.COgr-qchep-th
keywords bispectrumcorrectionsinflationone-loopphasecalculatecubicformation
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abstract

We calculate the one-loop corrections in bispectrum of CMB scale perturbations induced from the small scale modes undergoing an intermediate phase of USR inflation in scenarios employed for PBHs formation. Using the formalism of effective field theory of inflation we calculate the cubic and quartic Hamiltonians and perform the in-in analysis for a subset of Feynman diagrams comprising both the cubic and the quartic exchange vertices. We show the one-loop corrections in bispectrum has the local shape with $f_{NL}$ having the same structure as the one-loop correction in power spectrum in their dependence on the duration of the USR phase and the sharpness of the transition to the final attractor phase. It is shown that in the models with a sharp transition the induced loop corrections in bispectrum can quickly violate the observational bounds on $f_{NL}$.

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Forward citations

Cited by 6 Pith papers

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

  1. Scale-Dependent Loop Corrections to the Inflationary Power Spectrum

    astro-ph.CO 2026-03 conditional novelty 7.0 of 10

    One-loop gravitational corrections in inflationary models with scale-dependent features are renormalizable and vanish on large and small scales, preserving perturbativity of CMB-fit feature models.

  2. Inflationary background renormalization

    hep-th 2025-04 conditional novelty 6.0 of 10

    In single-field inflation, imposing a zero one-point function for the curvature perturbation leaves a finite, scheme-dependent one-loop correction to the two-point function that background renormalization cannot absorb.

  3. 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.

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

    hep-ph 2024-11 conditional novelty 5.0 of 10

    The two-loop 'double scoop' diagram correction in USR inflation scales as the square of the one-loop correction, confirming that sharp transitions make the loop expansion unreliable.

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

    astro-ph.CO 2026-01 conditional novelty 4.0 of 10

    One-loop scalar-sourced tensor corrections in non-minimal spectator PBH models are O(1) for a Gaussian dip and up to 10^12 times the tree level for an oscillatory coupling.

  6. 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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