Cosmological Constraints From Weak Lensing Peak Statistics With CFHT Stripe 82 Survey

Abstract

We derived constraints on cosmological parameters using weak lensing peak statistics measured on the $\sim 130{\mathrm{deg}}^2$ of the Canada-France-Hawaii Telescope Stripe 82 Survey (CS82). This analysis demonstrates the feasibility of using peak statistics in cosmological studies. For our measurements, we considered peaks with signal-to-noise ratio in the range of $\nu =[3,6]$. For a flat $\Lambda$CDM model with only $({\Omega }_{\mathrm{m}},{\sigma }_8)$ as free parameters, we constrained the parameters of the following relation ${\Sigma }_8={\sigma }_8({\Omega }_{\mathrm{m}}/0.27{)}^{\alpha }$ to be: ${\Sigma }_8=0.82\pm 0.03$ and $\alpha =0.43\pm 0.02$. The $\alpha$ value found is considerably smaller than the one measured in two-point and three-point cosmic shear correlation analyses, showing a significant complement of peak statistics to standard weak lensing cosmological studies. The derived constraints on $({\Omega }_{\mathrm{m}},{\sigma }_8)$ are fully consistent with the ones from either WMAP9 or Planck. From the weak lensing peak abundances alone, we obtained marginalised mean values of ${\Omega }_{\mathrm{m}}=0.38_{-0.24}^{+0.27}$ and ${\sigma }_8=0.81\pm 0.26$. Finally, we also explored the potential of using weak lensing peak statistics to constrain the mass-concentration relation of dark matter halos simultaneously with cosmological parameters.

17 pages, 11 figures, MNRAS in press

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Cited by in corpus (1)

• Cosmological constraints from Subaru weak lensing cluster counts