Cosmology through arc statistics I: sensitivity to ${\Omega }_m$ and ${\sigma }_8$

Abstract

The next generation of large sky photometric surveys will finally be able to use arc statistics as a cosmological probe. Here we present the first of a series of papers on this topic. In particular, we study how arc counts are sensitive to the variation of two cosmological parameters: the (total) matter density parameter, ${\Omega }_m$, and the normalisation of the primordial power spectrum, expressed in terms of ${\sigma }_8$. Both these parameters influence the abundances of collapsed structures and their internal structure. We compute the expected number of gravitational arcs with various length-to-width ratios in mock light cones, by varying these cosmological parameters in the ranges $0.1\le {\Omega }_m\le 0.5$ and $0.6\le {\sigma }_8\le 1$. We find that the arc counts dependence on ${\Omega }_m$ and ${\sigma }_8$ is similar, but not identical, to that of the halo counts. We investigate how the precision of the constraints on the cosmological parameters based on arc counts depends on the survey area. We find that the constraining power of arc statistics degrades critically only for surveys covering an area smaller than $10\%$ of the whole sky. Finally, we consider the case in which the search for arcs is done only in frames where galaxy clusters have been previously identified. Adopting the selection function for galaxy clusters expected to be detected from photometric data in future wide surveys, we find that less than $10\%$ of the arcs will be missed, with only a small degradation of the corresponding cosmological constraints.

12 pages, 12 figures, accepted by MNRAS

References in corpus (14)

• A direct empirical proof of the existence of dark matter
• Wide-Field InfrarRed Survey Telescope-Astrophysics Focused Telescope Assets WFIRST-AFTA 2015 Report
• Concentration, Spin and Shape of Dark Matter Haloes as a Function of the Cosmological Model: WMAP1, WMAP3 and WMAP5 results
• Cluster Lenses
• Cosmology and Astrophysics from Relaxed Galaxy Clusters II: Cosmological Constraints
• Next Generation Cosmology: Constraints from the Euclid Galaxy Cluster Survey
• The Population of Dark Matter Subhaloes: Mass Functions and Average Mass Loss Rates
• The MUSIC of CLASH: predictions on the concentration-mass relation
• Some like it triaxial: the universality of dark matter halo shapes and their evolution along the cosmic time
• An improved model for the formation times of dark matter haloes
• Arc sensitivity to cluster ellipticity, asymmetries and substructures
• Realistic simulations of gravitational lensing by galaxy clusters: extracting arc parameters from mock DUNE images
• Universality of dark matter haloes shape over six decades in mass: Insights from the Millennium XXL and SBARBINE simulations
• The Detection and Statistics of Giant Arcs Behind CLASH Clusters

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