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One consistency relation for all single-field inflationary models

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arxiv 2311.12777 v1 pith:AO6MLBF2 submitted 2023-11-21 astro-ph.CO hep-phhep-th

classification astro-ph.COhep-phhep-th
keywords consistencymodelsperturbationrelationsingle-fieldbackgroundbispectrumcurvature
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In this paper, we present a non-Gaussianity consistency relation that enables the calculation of the squeezed limit bispectrum of the curvature perturbation in single-field inflationary models by carefully inspecting the background evolution and the linear perturbation theory. The consistency relation is more general than others in the literature since it does not require any specific symmetry, conservation of the curvature perturbation at large scales, attractor background evolution or canonical kinetic energy of the inflaton field. We demonstrate that all known examples of the squeezed limit bispectrum in single-field models of inflation can be reproduced within this framework.

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Cited by 2 Pith papers

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

  1. Trispectrum in Extended USR Model with Transition to SR

    astro-ph.CO 2025-09 conditional novelty 6.0 of 10

    In the two-phase USR-SR inflation model, g_NL = 25 h^3 / (3 (h-6)^3) and tau_NL = 9 h^4 / (h-6)^4, confirmed by both delta-N and in-in formalisms.

  2. 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.

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