Joint analysis of anisotropic power spectrum, bispectrum and trispectrum: application to N-body simulations

Abstract

We perform for the first time a joint analysis of the monopole and quadrupoles for power spectrum, bispectrum and integrated trispectrum (i-trispectrum) from the redshift space matter field in N-body simulations. With a full Markov Chain Monte Carlo exploration of the posterior distribution, we quantify the constraints on cosmological parameters for an object density of n p = 5 × 10 −4 (h Mpc −1 ) 3 , redshift z = 0.5, and a covariance corresponding to a survey volume of V survey = 25 (h −1 Gpc) 3 , a set up which is representative of forthcoming galaxy redshift surveys. We demonstrate the complementarity of the bispectrum and i-trispectrum in constraining key cosmological parameters. In particular, compared to the state-of-the-art power spectrum (monopole plus quadrupole) and bispectrum (monopole) analyses, we find 1D 68% credible regions smaller by a factor of (72%, 78%, 72%, 47%, 46%) for the parameters (f, σ 8 , f nl , α , α ⊥ ) respectively. This work motivates the additional effort necessary to include the redshift-space anisotropic signal of higher-order statistics in the analysis and interpretation of ongoing and future galaxy surveys.

Integrated trispectrum detection from BOSS DR12 NGC CMASS

“…The trend changes in the quadrupoles' case: the signal-to-noise ratio for T (2) is the lowest for the minimum k max but grows faster than P (2) and B (2) ones until becoming the highest at smaller scales. This confirms using spectroscopic galaxy surveys data what we observed and proved using dark matter simulations in [81]: T ( ) contains additional signal / information with respect to power spectrum and bispectrum and must be employed to fully exploit current and future clustering data-sets.…”

“…[79] also computed the corresponding analytical theoretical model for this summary statistic, proving the potential it holds for constraining primordial non-Gaussianity. This was further confirmed by performing a more realistic joint-analysis in [81] including both monopole and quadrupoles of power spectrum, bispectrum and i-trispectrum measurements from simulations on a much larger parameter set comprising nuisance and cosmological parameters normally considered in realistic LSS clustering analyses.…”

Cosmology with one galaxy?

“…However, we do not know what estimator would allow us to extract the maximum amount of information for non-Gaussian density fields, like the matter and galaxy distribution resembles on non-linear scales. Quantifying the information content from different estimators is currently a very active area of research (Villaescusa-Navarro et al 2020;Samushia et al 2021;Gualdi et al 2021a;Kuruvilla & Aghanim 2021;Banerjee et al 2020;Hahn et al 2020;Uhlemann et al 2020;Friedrich et al 2020;Massara et al 2021;Dai et al 2020;Allys et al 2020;Banerjee & Abel 2021a,b;Gualdi et al 2021b,a;Giri & Smith 2020;de la Bella et al 2020;Hahn & Villaescusa-Navarro 2021;Valogiannis & Dvorkin 2021;Kuruvilla 2021;Naidoo et al 2021;Porth et al 2021;Harnois-Déraps et al 2022;Li et al 2019;Coulton et al 2019;Marques et al 2019;Zhang et al 2020;Ajani et al 2020;Harnois-Déraps et al 2021;Cheng & Ménard 2021;Harnois-Déraps et al 2022).…”

NECOLA: Towards a Universal Field-level Cosmological Emulator

“…However, on non-linear scales, where a large amount of cosmological information resides (e.g. Villaescusa-Navarro et al 2020;Samushia et al 2021;Gualdi et al 2021a;Kuruvilla & Aghanim 2021;Bayer et al 2021;Banerjee et al 2020;Hahn et al 2020;Uhlemann et al 2020;Friedrich et al 2020;Massara et al 2021;Dai et al 2020;Allys et al 2020;Banerjee & Abel 2021a,b;Gualdi et al 2021b,a;Giri & Smith 2020;de la Bella et al 2020;Hahn & Villaescusa-Navarro 2021;Valogiannis & Dvorkin 2021;Bayer et al 2021;Kuruvilla 2021), numerical simulations become necessary.…”