Cosmological constraints from the convergence 1point probability distribution
Abstract
Here, we examine the cosmological information available from the 1point probability density function (PDF) of the weaklensing convergence field, utilizing fast lpicola simulations and a Fisher analysis. We find competitive constraints in the ^{Ω}m–σ8 plane from the convergence PDF with 188 arcmin ^{2} pixels compared to the cosmic shear power spectrum with an equivalent number of modes (ℓ < 886). The convergence PDF also partially breaks the degeneracy cosmic shear exhibits in that parameter space. A joint analysis of the convergence PDF and shear 2point function also reduces the impact of shape measurement systematics, to which the PDF is less susceptible, and improves the total figure of merit by a factor of 2–3, depending on the level of systematics. Finally, we present a correction factor necessary for calculating the unbiased Fisher information from finite differences using a limited number of cosmological simulations.
 Authors:
 The Ohio State Univ., Columbus, OH (United States)
 The Ohio State Univ., Columbus, OH (United States); Ecole Polytechnique Federale de Lausanne (EPFL), Versoix (Switzerland)
 The Ohio State Univ., Columbus, OH (United States); California Inst. of Technology (CalTech), Pasadena, CA (United States)
 Princeton Univ., Princeton, NJ (United States)
 The Ohio State Univ., Columbus, OH (United States); Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
 Publication Date:
 Research Org.:
 Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
 Sponsoring Org.:
 USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR) (SC21)
 OSTI Identifier:
 1410195
 DOE Contract Number:
 AC0500OR22725
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Monthly Notices of the Royal Astronomical Society; Journal Volume: 472; Journal Issue: 1
 Country of Publication:
 United States
 Language:
 English
 Subject:
 79 ASTRONOMY AND ASTROPHYSICS
Citation Formats
Patton, Kenneth, Blazek, Jonathan, Honscheid, Klaus, Huff, Eric, Melchior, Peter, Ross, Ashley J., and Suchyta, Eric D.. Cosmological constraints from the convergence 1point probability distribution. United States: N. p., 2017.
Web. doi:10.1093/mnras/stx1626.
Patton, Kenneth, Blazek, Jonathan, Honscheid, Klaus, Huff, Eric, Melchior, Peter, Ross, Ashley J., & Suchyta, Eric D.. Cosmological constraints from the convergence 1point probability distribution. United States. doi:10.1093/mnras/stx1626.
Patton, Kenneth, Blazek, Jonathan, Honscheid, Klaus, Huff, Eric, Melchior, Peter, Ross, Ashley J., and Suchyta, Eric D.. Thu .
"Cosmological constraints from the convergence 1point probability distribution". United States.
doi:10.1093/mnras/stx1626.
@article{osti_1410195,
title = {Cosmological constraints from the convergence 1point probability distribution},
author = {Patton, Kenneth and Blazek, Jonathan and Honscheid, Klaus and Huff, Eric and Melchior, Peter and Ross, Ashley J. and Suchyta, Eric D.},
abstractNote = {Here, we examine the cosmological information available from the 1point probability density function (PDF) of the weaklensing convergence field, utilizing fast lpicola simulations and a Fisher analysis. We find competitive constraints in the Ωm–σ8 plane from the convergence PDF with 188 arcmin2 pixels compared to the cosmic shear power spectrum with an equivalent number of modes (ℓ < 886). The convergence PDF also partially breaks the degeneracy cosmic shear exhibits in that parameter space. A joint analysis of the convergence PDF and shear 2point function also reduces the impact of shape measurement systematics, to which the PDF is less susceptible, and improves the total figure of merit by a factor of 2–3, depending on the level of systematics. Finally, we present a correction factor necessary for calculating the unbiased Fisher information from finite differences using a limited number of cosmological simulations.},
doi = {10.1093/mnras/stx1626},
journal = {Monthly Notices of the Royal Astronomical Society},
number = 1,
volume = 472,
place = {United States},
year = {Thu Jun 29 00:00:00 EDT 2017},
month = {Thu Jun 29 00:00:00 EDT 2017}
}

Knowledge of Npoint correlation functions for all N allows one to invert and obtain the probability distribution of mass fluctuations in a fixed volume. I apply this to the hierarchical sequence of higher order correlations with dimensionless amplitudes suggested by the BBGKY equations. The resulting distribution is significantly nonGaussian, even for quite small mean square fluctuations. The qualitative and to some degree quantitative results are to a large degree independent of the exact sequence of amplitudes. An ensemble of such models compared with Nbody simulations fails in detail to account for the lowdensity frequency distribution. Subject headings: cosmologygalaxies: clusteringnumerical methods

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