C${}^3$-Cluster Clustering Cosmology II. First detection of the BAO peak in the three-point correlation function of galaxy clusters

Abstract

Third-order statistics of the cosmic density field provides a powerful cosmological probe containing synergistic information to the more commonly explored second-order statistics. Here, we exploit a spectroscopic catalog of 72,563 clusters of galaxies extracted from the Sloan Digital Sky Survey, providing the first detection of the baryon acoustic oscillations (BAO) peak in the three-point correlation function (3PCF) of galaxy clusters. We measure and analyze both the connected and the reduced 3PCF of SDSS clusters from intermediate ($r\sim 10$ Mpc/h) up to large ($r\sim 140$ Mpc/h) scales, exploring a variety of different configurations. From the analysis of reduced 3PCF at intermediate scales, in combination with the analysis of the two-point correlation function, we constrain both the cluster linear and non-linear bias parameters, $b_1=2.75\pm 0.03$ and $b_2=1.2\pm 0.5$. We analyze the measurements of the 3PCF at larger scales, comparing them with theoretical models. The data show clear evidence of the BAO peak in different configurations, which appears more visible in the reduced 3PCF rather than in the connected one. From the comparison between theoretical models considering or not the BAO peak, we obtain a quantitative estimate of this evidence, with a $\Delta {\chi }^2$ between 2 and 75, depending on the considered configuration. Finally, we set up a generic framework to estimate the expected signal-to-noise ratio of the BAO peak in the 3PCF exploring different possible definitions, that can be used to forecast the most favorable configurations to be explored also in different future surveys, and applied it to the case of the Euclid mission.

16 pages, 9 figures, submitted to ApJ

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Cited by in corpus (14)

• The CosmoVerse White Paper: Addressing observational tensions in cosmology with systematics and fundamental physics
• AMICO galaxy clusters in KiDS-DR3: Constraints on cosmological parameters and on the normalisation of the mass-richness relation from clustering
• New constraints on cosmological modified gravity theories from anisotropic three-point correlation functions of BOSS DR12 galaxies
• C${}^3$-Cluster Clustering Cosmology I. New constraints on the cosmic growth rate at z~0.3 from redshift-space clustering anisotropies
• The miniJPAS survey: clusters and galaxy groups detection with AMICO
• Modelling the next-to-leading order matter three-point correlation function using FFTLog
• AMICO galaxy clusters in KiDS-DR3: Cosmological constraints from angular power spectrum and correlation function
• The halo 3-point correlation function: a methodological analysis
• A Model for the Redshift-Space Galaxy 4-Point Correlation Function
• Mass bias and cosmological constraints from Planck cluster clustering
• Forecasts for cosmological measurements based on the angular power spectra of AGN and clusters of galaxies in the SRG/eROSITA all-sky survey
• The imprints of massive neutrinos on the three-point correlation function of large-scale structures
• Modeling and measuring the anisotropic halo 3-point correlation function: a coordinated study
• Euclid preparation. Full-shape modelling of 2-point and 3-point correlation functions in real space