Quantifying the Rarity of the Local Super-Volume

Abstract

We investigate the extent to which the number of clusters of mass exceeding $10^{15}{M}_{\odot }{h}^{-1}$ within the local super-volume ($<135\mathrm{Mpc}{h}^{-1}$) is compatible with the standard $\Lambda$CDM cosmological model. Depending on the mass estimator used, we find that the observed number $N$ of such massive structures can vary between $0$ and $5$. Adopting $N=5$ yields $\Lambda$CDM likelihoods as low as $2.4\times 10^{-3}$ (with ${\sigma }_8=0.81$) or $3.8\times 10^{-5}$ (with ${\sigma }_8=0.74$). However, at the other extreme ($N=0$), the likelihood is of order unity. Thus, while potentially very powerful, this method is currently limited by systematic uncertainties in cluster mass estimates. This motivates efforts to reduce these systematics with additional observations and improved modelling.

7 pages, 3 figures, 1 table

References in corpus (10)

• Dark Energy Survey Year 3 Results: Cosmological Constraints from Galaxy Clustering and Weak Lensing
• Baryons at the Edge of the X-ray Brightest Galaxy Cluster
• The relation between velocity dispersion and mass in simulated clusters of galaxies: dependence on the tracer and the baryonic physics
• The Effect of Large-Scale Structure on the SDSS Galaxy Three-Point Correlation Function
• The Norma Cluster (ACO 3627): I. A Dynamical Analysis of the Most Massive Cluster in the Great Attractor
• Planck Sunyaev-Zel'dovich Cluster Mass Calibration using Hyper Suprime-Cam Weak Lensing
• The Sloan Nearby Cluster Weak Lensing Survey
• X-ray Spectroscopy of Clusters of Galaxies
• The galaxy population within the virial radius of the Perseus cluster
• The important role of evolution in the Planck $Y_{SZ}$-mass calibration

Cited by in corpus (1)

• Field-Based Physical Inference From Peculiar Velocity Tracers