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arxiv 2305.11568 v2 pith:5YMFTDX2 submitted 2023-05-19 hep-th astro-ph.CO

A large |η| approach to single field inflation

classification hep-th astro-ph.CO
keywords blackfieldholesinflationinflationarylargemodelsperturbative
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Single field models of inflation capable to produce primordial black holes usually require a significant departure from the standard, perturbative slow-roll regime. In fact, in many of these scenarios, the size of the slow-roll parameter $|\eta|$ becomes larger than one during a short phase of inflationary evolution. In order to develop an analytical control on these systems, we explore the limit of $|\eta|$ large, and promote $1/|\eta|$ to a small quantity to be used for perturbative expansions. Formulas simplify, and we obtain analytic expressions for the two and three point functions of curvature fluctuations, which share some of the features found in realistic inflationary models generating primordial black holes. We study one-loop corrections in this framework: we discuss criteria for adsorbing ultraviolet divergences into the available parameters, leaving log-enhanced infrared contributions of controllable size.

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Cited by 7 Pith papers

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

  1. When the Environment Speaks: Quantum Signatures in Non-Attractor Inflation

    astro-ph.CO 2026-07 conditional novelty 6.0

    An open quantum system treatment of curvature perturbations during Ultra-Slow-Roll inflation shows that environmental decoherence erases the interference dip, modifies the growth slope, and induces oscillatory feature...

  2. Chiral gravitational waves from multi-phase magnetogenesis

    astro-ph.CO 2026-02 unverdicted novelty 6.0

    Multi-phase inflation with chiral vector interactions generates amplified primordial magnetic fields that induce a detectable circularly polarized gravitational-wave background.

  3. Hamiltonians to all Orders in Perturbation Theory and Higher Loop Corrections in Single Field Inflation with PBHs Formation

    astro-ph.CO 2025-02 unverdicted novelty 6.0

    Derives all-order Hamiltonians via EFT of inflation for USR models and shows L-loop corrections to CMB-scale perturbations scale as (ΔN P_e L)^L, exiting perturbative control at L=4 for typical ΔN≈2.5.

  4. Non-Perturbative Hamiltonian and Higher Loop Corrections in USR Inflation

    astro-ph.CO 2025-02 unverdicted novelty 6.0

    In USR inflation with an idealized instantaneous sharp transition to slow-roll, higher loop corrections to curvature perturbations on CMB scales grow rapidly with loop order L and may exit perturbative control.

  5. Cancellation of one-loop time dependence in superhorizon curvature perturbations from all scales

    astro-ph.CO 2026-06 unverdicted novelty 5.0

    One-loop time dependence in superhorizon curvature perturbations cancels when all-scale contributions and boundary terms are included consistently via the δN formalism.

  6. Transient Parity Violation during Inflation: Implications for PTA Gravitational Waves

    astro-ph.CO 2026-04 unverdicted novelty 5.0

    A transient parity-violating phase during inflation generates a robust blue-tilted (n_T ≃ 2) primordial gravitational wave spectrum at small scales with nearly maximal helicity coherence and linear polarization, offer...

  7. Ward Identity Constraints on Loop Corrections in Non-Attractor Inflation

    astro-ph.CO 2025-06 unverdicted novelty 5.0

    Ward identities derived from perturbation-theory symmetries enforce non-perturbative constraints on the infrared power spectrum and guarantee conservation of super-horizon modes in non-attractor inflation.