Integrated trispectrum detection from BOSS DR12 NGC CMASS

Gualdi, Davide; Verde, Licia

doi:10.48550/arxiv.2201.06932

Cited by 4 publications

(4 citation statements)

References 87 publications

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“…Another promising avenue is via the inclusion of higher-order statistics, such as the galaxy trispectrum or fourpoint correlation function and beyond. Initial forecasts suggest that the statistics can yield impressive constraining power on σ 8 [1857], arising due to degeneracy breaking, and recently, the first detections of such quantities have been made [1858,1859]. Of course, their use will require the development of rigorous theoretical models [1860] that must be tested on simulations (including systematic effects) before their application to data.…”

Section: Spectroscopic Galaxy Clusteringmentioning

confidence: 99%

Cosmology Intertwined: A Review of the Particle Physics, Astrophysics, and Cosmology Associated with the Cosmological Tensions and Anomalies

Abdalla,

Abellán,

Aboubrahim

et al. 2022

Preprint

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This White Paper has been prepared to fulfill SNOWMASS 2021 requirements and it extends the material previously summarized in the four Letters of Interest [1][2][3][4]. The Particle Physics Community Planning Exercise (a.k.a. SNOWMASS ) is organized by the Division of Particles and Fields of the American Physical Society, and this is an effort to bring together the community of theoretical physicists and cosmologists and identify promising opportunities to address the questions described.This White Paper was initiated with the aim of identifying the opportunities in the cosmological field for the next decade, and strengthening the coordination of the community. It is addressed to identifying the most promising directions of investigation, and rather than attempting a long review of the current status of the whole field of research, it focuses on the upcoming theoretical opportunities and challenges described. The White Paper is a collaborative effort led by Eleonora Di Valentino and Luis Anchordoqui, and it is organized in the topics listed below, each of them coordinated by the scientists indicated (alphabetical order):

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Section: Spectroscopic Galaxy Clusteringmentioning

confidence: 99%

Cosmology Intertwined: A Review of the Particle Physics, Astrophysics, and Cosmology Associated with the Cosmological Tensions and Anomalies

Abdalla,

Abellán,

Aboubrahim

et al. 2022

Preprint

Self Cite

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“…On the other hand, the trispectrum is expected to be an important probe of primordial non-Gaussanities (Gualdi et al 2021a,b), as well as parity-violating new physics (Cahn et al 2021). The LSS analysis with trispectrum has just begun recently (Philcox et al 2021;Gualdi & Verde 2022), and the high cost of including the trispectrum in future analysis demands a detailed study of the information contained in the trispectrum, similar to what did for the bispectrum, is needed to assess how practical the trispectrum is to use.…”

Section: Discussionmentioning

confidence: 99%

Perturbation Theory vs Simulation: Quasi-linear Scale, Binning Effect, and Visualization of Bispectrum

Tomlinson¹,

Jeong²

2022

Preprint

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Recently, Perturbation Theory (PT), specifically the Effective Field Theory of Large Scale Structure (EFTofLSS) and its equivalents, have proven powerful in analyzing observational data. To further this pursuit, we present a quantitative analysis for the accuracy of PT modeling by comparing its analytical prediction to the result from a suite of Quĳote simulations. Specifically, we determine 𝑘 NL , the wavenunmber below which the analytical prediction matches well with the N-body result, for both leading order (LO) and next-to-leading order (NLO) power spectrum and bispectrum at redshifts 𝑧 = 0, 0.5, 1, 2, 3. We also quantify the binning effect in Fourier space and show that an appropriate correction must be applied to the analytic predictions in order to compare them with the discrete Fourier transform results obtained from N-body-simulation or real data. Finally, we have devised a novel spherical-Bispectrum visualization scheme fully capturing the scale and configuration dependences. The new scheme facilitates bispectrum-amplitude comparison, for example, between theory and N-body results.

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“…(2.25) Note that the estimator equation (2.15) is optimal under the Gaussian assumption but may not remain optimal when the trispectrum contributes significantly to the covariance matrix. Since the relative contribution from the trispectrum rises toward small scales [66,67], we expect that the noise power spectrum P N full (k) would saturate beyond some q max . Later, we verify the statements by comparing numerically the two noise power spectra P N full (k) and P N G (k) for the two nonlinear density realizations: 2LPT [68] and GridSPT [53].…”

Section: )mentioning

confidence: 99%

Reconstructing the long-wavelength matter density fluctuation modes from the scalar-type clustering fossils

Wang,

Jeong

2024

J. Cosmol. Astropart. Phys.

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Revealing the large-scale structure from the 21cm intensity mapping surveys is only possible after the foreground cleaning. However, most current cleaning techniques relying on the smoothness of the foreground spectrum lead to a severe side effect of removing the large-scale structure signal along the line of sight. On the other hand, the clustering fossil, a coherent variation of the small-scale clustering over large scales, allows us to recover the long-wavelength density modes from the off-diagonal correlation between short-wavelength modes. In this paper, we revisit the reconstruction based on the short-wavelength matter density modes in real space and scrutinize the requirements for an unbiased and optimal clustering-fossil estimator. We show that (A) the estimator is unbiased only when using an accurate bispectrum model for the long-short-short mode coupling and (B) including the connected four-point correlation functions is essential for characterizing the noise power spectrum of the estimated long mode. For matter in real space, the clustering fossil estimator based upon the leading-order bispectrum yields an unbiased estimation of the long-wavelength (k ≲ 0.01 [h/Mpc]) modes with the cross-correlation coefficient of 0.7 at redshifts z = 0 to 3.

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Integrated trispectrum detection from BOSS DR12 NGC CMASS

Cited by 4 publications

References 87 publications

Cosmology Intertwined: A Review of the Particle Physics, Astrophysics, and Cosmology Associated with the Cosmological Tensions and Anomalies

Cosmology Intertwined: A Review of the Particle Physics, Astrophysics, and Cosmology Associated with the Cosmological Tensions and Anomalies

Perturbation Theory vs Simulation: Quasi-linear Scale, Binning Effect, and Visualization of Bispectrum

Reconstructing the long-wavelength matter density fluctuation modes from the scalar-type clustering fossils

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