Capturing primordial non-Gaussian signatures in the late Universe by multi-scale extrema of the cosmic log-density field

Abstract

We construct two new summary statistics, the scale-dependent peak height function (scale-PKHF) and the scale-dependent valley depth function (scale-VLYDF) of matter density, and forecast their constraining power on primordial non-Gaussianity and cosmological parameters based on \textsc{Quijote} and \textsc{Quijote-PNG} simulations at $z=0$. With the Fisher analysis, we demonstrate that these statistics outperform the power spectrum and bispectrum. Key findings include: (1) the constraint on the scalar spectral index $n_s$ obtained from the scale-VLYDF/scale-PKHF is 1.59/1.10 times tighter than that from the joint analysis of power spectrum and bispectrum; (2) the combination of the two statistics yields a slight improvement in constraining $\{f_{\mathrm{NL}}^{\mathrm{local}},f_{\mathrm{NL}}^{\mathrm{equil}}\}$ over the power spectrum-bispectrum combination, and provides a 1.39-fold improvement in the constraint on $f_{\mathrm{NL}}^{\mathrm{ortho}}$; (3) after incorporating the power spectrum with our new statistics, parameter constraints surpass those from power spectrum-bispectrum combination by factors up to 2.93. This work offers an effective scheme for extracting primordial signals from the late Universe, paving the way for further breakthroughs in precision cosmology.

arXiv comment8 pages, 5 figures, 1 table. Accepted for Publication in PRD

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