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    Wonderings on wiggly bispectra: Nonlinear evolution and reconstruction of oscillations in the squeezed bispectrum

    Samuel Goldstein1,*, Oliver H. E. Philcox1,2,3, Emanuele Fondi4, and William R. Coulton5,6

    • *Contact author: sjg2215@columbia.edu

    Phys. Rev. D 112, 083503 – Published 1 October, 2025

    DOI: https://doi.org/10.1103/q8m3-vspd

    Abstract

    Oscillations in the primordial bispectrum are sourced by a range of inflationary phenomena, including features in the inflaton potential and interactions with massive fields through the Cosmological Collider scenario. These signatures offer a powerful window into early-universe physics. In this work, we study how oscillations of the form limq≪kB(q,k)∝cos(μln(q/k)) impact the nonlinear squeezed matter bispectrum. Using a suite of N-body simulations with non-Gaussian initial conditions, we show that nonlinear evolution significantly damps these oscillations, effectively erasing the signal on scales k≳0.3  h/Mpc at redshift z=0. This damping is well described by the Zel’dovich approximation and can be modeled deep into the nonlinear regime using nonperturbative separate universe simulations. Promisingly, we show that reconstruction techniques developed for baryon acoustic oscillation analyses can largely undo this damping, improving constraints on the amplitude (phase) of oscillations in the primordial squeezed bispectrum by up to a factor of five (four) at z=0. We also discuss several challenges with modeling the nonlinear evolution of the squeezed bispectrum in the Cosmological Collider scenario, where the bispectrum is suppressed by a factor of (q/k)3/2 relative to the template studied here. Our findings pave the way for future searches for oscillatory bispectra using large-scale structure data.

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