# Cosmological constraints from the convergence 1-point probability distribution

## Abstract

Here, we examine the cosmological information available from the 1-point probability density function (PDF) of the weak-lensing convergence field, utilizing fast l-picola 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 2-point 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) (SC-21)

- OSTI Identifier:
- 1410195

- Grant/Contract Number:
- AC05-00OR22725

- Resource Type:
- Accepted Manuscript

- Journal Name:
- Monthly Notices of the Royal Astronomical Society

- Additional Journal Information:
- Journal Volume: 472; Journal Issue: 1; Journal ID: ISSN 0035-8711

- Publisher:
- Royal Astronomical Society

- 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 1-point 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 1-point 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 1-point probability distribution". United States. doi:10.1093/mnras/stx1626. https://www.osti.gov/servlets/purl/1410195.
```

```
@article{osti_1410195,
```

title = {Cosmological constraints from the convergence 1-point 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 1-point probability density function (PDF) of the weak-lensing convergence field, utilizing fast l-picola 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 2-point 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 = {2017},

month = {6}

}

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Works referenced in this record:

##
Cosmological information in weak lensing peaks

journal, August 2011

- Yang, Xiuyuan; Kratochvil, Jan M.; Wang, Sheng
- Physical Review D, Vol. 84, Issue 4

##
21 cm angular-power spectrum from the dark ages

journal, October 2007

- Lewis, Antony; Challinor, Anthony
- Physical Review D, Vol. 76, Issue 8

##
Cosmology with photometric weak lensing surveys: Constraints with redshift tomography of convergence peaks and moments

journal, September 2016

- Petri, Andrea; May, Morgan; Haiman, Zoltán
- Physical Review D, Vol. 94, Issue 6

##
L-PICOLA: A parallel code for fast dark matter simulation

journal, September 2015

- Howlett, C.; Manera, M.; Percival, W. J.
- Astronomy and Computing, Vol. 12

##
Testing the lognormality of the galaxy and weak lensing convergence distributions from Dark Energy Survey maps

journal, August 2016

- Clerkin, L.; Kirk, D.; Manera, M.
- Monthly Notices of the Royal Astronomical Society, Vol. 466, Issue 2

##
A 'skewed' lognormal approximation to the probablility distribution function of the large-scale density field

journal, November 1994

- Colombi, S.
- The Astrophysical Journal, Vol. 435

##
Cosmology from cosmic shear with Dark Energy Survey Science Verification data

journal, July 2016

- Abbott, T.; Abdalla, F. B.; Allam, S.
- Physical Review D, Vol. 94, Issue 2

##
Stable clustering, the halo model and non-linear cosmological power spectra

journal, June 2003

- Smith, R. E.; Peacock, J. A.; Jenkins, A.
- Monthly Notices of the Royal Astronomical Society, Vol. 341, Issue 4

##
HEALPix: A Framework for High‐Resolution Discretization and Fast Analysis of Data Distributed on the Sphere

journal, April 2005

- Gorski, K. M.; Hivon, E.; Banday, A. J.
- The Astrophysical Journal, Vol. 622, Issue 2

##
The effect of covariance estimator error on cosmological parameter constraints

journal, September 2013

- Dodelson, Scott; Schneider, Michael D.
- Physical Review D, Vol. 88, Issue 6

##
Revising the Halofit Model for the Nonlinear Matter Power Spectrum

journal, December 2012

- Takahashi, Ryuichi; Sato, Masanori; Nishimichi, Takahiro
- The Astrophysical Journal, Vol. 761, Issue 2

##
Emulating the CFHTLenS weak lensing data: Cosmological constraints from moments and Minkowski functionals

journal, May 2015

- Petri, Andrea; Liu, Jia; Haiman, Zoltán
- Physical Review D, Vol. 91, Issue 10

##
The cosmological simulation code gadget-2

journal, December 2005

- Springel, Volker
- Monthly Notices of the Royal Astronomical Society, Vol. 364, Issue 4

##
The DES Science Verification weak lensing shear catalogues

journal, May 2016

- Jarvis, M.; Sheldon, E.; Zuntz, J.
- Monthly Notices of the Royal Astronomical Society, Vol. 460, Issue 2

##
Linear power spectrum of observed source number counts

journal, August 2011

- Challinor, Anthony; Lewis, Antony
- Physical Review D, Vol. 84, Issue 4

##
Cosmology constraints from shear peak statistics in Dark Energy Survey Science Verification data

journal, August 2016

- Kacprzak, T.; Kirk, D.; Friedrich, O.
- Monthly Notices of the Royal Astronomical Society, Vol. 463, Issue 4

##
The clustering of Galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: including covariance matrix errors

journal, February 2014

- Percival, Will J.; Ross, Ashley J.; Sánchez, Ariel G.
- Monthly Notices of the Royal Astronomical Society, Vol. 439, Issue 3

##
Weak gravitational lensing

journal, January 2001

- Bartelmann, Matthias; Schneider, Peter
- Physics Reports, Vol. 340, Issue 4-5

##
Mapping the dark matter with weak gravitational lensing

journal, February 1993

- Kaiser, Nick; Squires, Gordon
- The Astrophysical Journal, Vol. 404

##
The Mira–Titan Universe: Precision Predictions for dark Energy Surveys

journal, March 2016

- Heitmann, Katrin; Bingham, Derek; Lawrence, Earl
- The Astrophysical Journal, Vol. 820, Issue 2

##
Cosmology constraints from the weak lensing peak counts and the power spectrum in CFHTLenS data

journal, March 2015

- Liu, Jia; Petri, Andrea; Haiman, Zoltán
- Physical Review D, Vol. 91, Issue 6

##
Large-scale structure of the Universe and cosmological perturbation theory

journal, September 2002

- Bernardeau, F.; Colombi, S.; Gaztañaga, E.
- Physics Reports, Vol. 367, Issue 1-3

##
Accounting for baryonic effects in cosmic shear tomography: determining a minimal set of nuisance parameters using PCA

journal, October 2015

- Eifler, Tim; Krause, Elisabeth; Dodelson, Scott
- Monthly Notices of the Royal Astronomical Society, Vol. 454, Issue 3

##
The onion universe: all sky lightcone simulations in spherical shells

journal, November 2008

- Fosalba, Pablo; Gaztañaga, Enrique; Castander, Francisco J.
- Monthly Notices of the Royal Astronomical Society, Vol. 391, Issue 1

##
Cosmological Model Predictions for Weak Lensing: Linear and Nonlinear Regimes

journal, August 1997

- Jain, Bhuvnesh; Seljak, Uroš
- The Astrophysical Journal, Vol. 484, Issue 2