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    Trispectrum in an extended ultraslow-roll model with transition to slow roll

    Hassan Firouzjahi1,* and Amin Nassiri-Rad2,†

    • *Contact author: firouz@ipm.ir
    • †Contact author: amin.nassiriraad@kntu.ac.ir

    Phys. Rev. D 112, 123541 – Published 26 December, 2025

    DOI: https://doi.org/10.1103/gnxb-rh6f

    Abstract

    We study the trispectrum in a two-phase ultraslow-roll–slow-roll setup of inflation in which the ultraslow-roll stage is extended in the initial phase of inflation while the second stage of inflation proceeds via a slow-roll phase. A key role is played by the sharpness parameter which controls how quickly the system reaches the final attractor phase after the ultraslow-roll stage. We employ both δN and in-in formalisms and calculate trispectrum and the corresponding dimensionless parameters gNL and τNL. We show that both approaches yield the same results and study the shapes of trispectrum in various configurations. It is shown that the maximum value of trispectrum occurs in the setup with an infinitely sharp transition to the attractor phase while much of trispectrum is washed out in the opposite limit of a mild transition.

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