Papers › Capturing primordial non-Gaussian signatures in the late Universe by multi-scale...
Capturing primordial non-Gaussian signatures in the late Universe by multi-scale extrema of the cosmic log-density field
Yun Wang, Ping He
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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 nₛ 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_(NL)ˡᵒᶜᵃˡ, f_(NL)^(equil)} over the power spectrum-bispectrum combination, and provides a 1.39-fold improvement in the constraint on f_(NL)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.
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