DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Cosmology Constraints from the Weak Lensing Peak Counts and the Power Spectrum in CFHTLenS

Abstract

Lensing peaks have been proposed as a useful statistic, containing cosmological information from non-Gaussianities that is inaccessible from traditional two-point statistics such as the power spectrum or two-point correlation functions. Here we examine constraints on cosmological parameters from weak lensing peak counts, using the publicly available data from the 154 deg2 CFHTLenS survey. We utilize a new suite of ray-tracing N-body simulations on a grid of 91 cosmological models, covering broad ranges of the three parameters Ωm, σ8, and w, and replicating the galaxy sky positions, redshifts, and shape noise in the CFHTLenS observations. We then build an emulator that interpolates the power spectrum and the peak counts to an accuracy of ≤ 5%, and compute the likelihood in the three-dimensional parameter space (Ωm, σ8, w) from both observables. We find that constraints from peak counts are comparable to those from the power spectrum, and somewhat tighter when different smoothing scales are combined. Neither observable can constrain w without external data. When the power spectrum and peak counts are combined, the area of the error “banana” in the (Ωm, σ8) plane reduces by a factor of ≈ two, compared to using the power spectrum alone. For a flat Λ coldmore » dark matter model, combining both statistics, we obtain the constraint σ8m/0.27)0.63 = 0.85+0.03-0.03.« less

Authors:
 [1];  [2];  [3];  [4];  [5];  [6]
  1. Department of Astronomy and Astrophysics, Columbia University, New York, NY, (United States)
  2. Physics Department, Brookhaven National Laboratory, Upton, NY, (United States)
  3. Department of Physics, Columbia University, New York, NY, (United States)
  4. Department of Astronomy and Astrophysics, Columbia University, New York, NY, (United States); Institute for Strings, Cosmology, and Astroparticle Physics (ISCAP), Columbia University, New York, (United States)
  5. Department of Physics, Columbia University, New York, NY, (United States); Institute for Strings, Cosmology, and Astroparticle Physics (ISCAP), Columbia University, New York, (United States)
  6. Astrophysics and Cosmology Research Unit, University of KwaZulu-Natal, Westville, Durban, (South Africa)
Publication Date:
Research Org.:
Brookhaven National Laboratory (BNL), Upton, NY (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP)
OSTI Identifier:
1174105
Alternate Identifier(s):
OSTI ID: 1181291
Report Number(s):
BNL-107476-2015-JA
Journal ID: ISSN 1550-7998; KA2301020
Grant/Contract Number:  
SC00112704; AC02-98CH10886; SC0012704
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review. D, Particles, Fields, Gravitation and Cosmology
Additional Journal Information:
Journal Volume: 91; Journal Issue: 6; Journal ID: ISSN 1550-7998
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
79 ASTRONOMY AND ASTROPHYSICS

Citation Formats

Liu, Jia, May, Morgan, Petri, Andrea, Haiman, Zoltan, Hui, Lam, and Kratochvil, Jan M. Cosmology Constraints from the Weak Lensing Peak Counts and the Power Spectrum in CFHTLenS. United States: N. p., 2015. Web. doi:10.1103/PhysRevD.91.063507.
Liu, Jia, May, Morgan, Petri, Andrea, Haiman, Zoltan, Hui, Lam, & Kratochvil, Jan M. Cosmology Constraints from the Weak Lensing Peak Counts and the Power Spectrum in CFHTLenS. United States. https://doi.org/10.1103/PhysRevD.91.063507
Liu, Jia, May, Morgan, Petri, Andrea, Haiman, Zoltan, Hui, Lam, and Kratochvil, Jan M. Wed . "Cosmology Constraints from the Weak Lensing Peak Counts and the Power Spectrum in CFHTLenS". United States. https://doi.org/10.1103/PhysRevD.91.063507. https://www.osti.gov/servlets/purl/1174105.
@article{osti_1174105,
title = {Cosmology Constraints from the Weak Lensing Peak Counts and the Power Spectrum in CFHTLenS},
author = {Liu, Jia and May, Morgan and Petri, Andrea and Haiman, Zoltan and Hui, Lam and Kratochvil, Jan M.},
abstractNote = {Lensing peaks have been proposed as a useful statistic, containing cosmological information from non-Gaussianities that is inaccessible from traditional two-point statistics such as the power spectrum or two-point correlation functions. Here we examine constraints on cosmological parameters from weak lensing peak counts, using the publicly available data from the 154 deg2 CFHTLenS survey. We utilize a new suite of ray-tracing N-body simulations on a grid of 91 cosmological models, covering broad ranges of the three parameters Ωm, σ8, and w, and replicating the galaxy sky positions, redshifts, and shape noise in the CFHTLenS observations. We then build an emulator that interpolates the power spectrum and the peak counts to an accuracy of ≤ 5%, and compute the likelihood in the three-dimensional parameter space (Ωm, σ8, w) from both observables. We find that constraints from peak counts are comparable to those from the power spectrum, and somewhat tighter when different smoothing scales are combined. Neither observable can constrain w without external data. When the power spectrum and peak counts are combined, the area of the error “banana” in the (Ωm, σ8) plane reduces by a factor of ≈ two, compared to using the power spectrum alone. For a flat Λ cold dark matter model, combining both statistics, we obtain the constraint σ8(Ωm/0.27)0.63 = 0.85+0.03-0.03.},
doi = {10.1103/PhysRevD.91.063507},
journal = {Physical Review. D, Particles, Fields, Gravitation and Cosmology},
number = 6,
volume = 91,
place = {United States},
year = {Wed Mar 04 00:00:00 EST 2015},
month = {Wed Mar 04 00:00:00 EST 2015}
}

Journal Article:

Citation Metrics:
Cited by: 100 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

Weak Gravitational Lensing by Large-Scale Structure
journal, September 2003


Weak Gravitational Lensing and Its Cosmological Applications
journal, November 2008


Gravitational lensing
journal, November 2010


Observational probes of cosmic acceleration
journal, September 2013


Evidence of the accelerated expansion of the Universe from weak lensing tomography with COSMOS
journal, June 2010


CFHTLenS: the Canada–France–Hawaii Telescope Lensing Survey: CFHTLenS
journal, October 2012

  • Heymans, Catherine; Van Waerbeke, Ludovic; Miller, Lance
  • Monthly Notices of the Royal Astronomical Society, Vol. 427, Issue 1
  • DOI: 10.1111/j.1365-2966.2012.21952.x

CFHTLenS: combined probe cosmological model comparison using 2D weak gravitational lensing
journal, February 2013

  • Kilbinger, Martin; Fu, Liping; Heymans, Catherine
  • Monthly Notices of the Royal Astronomical Society, Vol. 430, Issue 3
  • DOI: 10.1093/mnras/stt041

Weighing the Cosmological Energy Contents with Weak Gravitational Lensing
journal, July 1999

  • Hui, Lam
  • The Astrophysical Journal, Vol. 519, Issue 1
  • DOI: 10.1086/312095

Weak lensing predictions at intermediate scales
journal, April 2001

  • Van Waerbeke, Ludovic; Hamana, Takashi; Scoccimarro, Román
  • Monthly Notices of the Royal Astronomical Society, Vol. 322, Issue 4
  • DOI: 10.1046/j.1365-8711.2001.04241.x

The kurtosis of the cosmic shear field
journal, December 2002


Higher Order Moments of the Cosmic Shear and Other Spin‐2 Fields
journal, February 2003

  • Zaldarriaga, Matias; Scoccimarro, Roman
  • The Astrophysical Journal, Vol. 584, Issue 2
  • DOI: 10.1086/345789

Cosmological parameters from combined second- and third-order aperture mass statistics of cosmic shear
journal, September 2005


Three-point correlations in weak lensing surveys: model predictions and applications
journal, September 2003


Breaking the degeneracy: Optimal use of three-point weak lensing statistics
journal, January 2010


Cosmological parameters from lensing power spectrum and bispectrum tomography
journal, March 2004


Weak lensing bispectrum
journal, October 2005


Cosmology and the bispectrum
journal, July 2006


Optimal Capture of Non-Gaussianity in Weak-Lensing Surveys: Power Spectrum, Bispectrum, and halo Counts
journal, March 2010


Statistics of Dark Matter Halos from Gravitational Lensing
journal, February 2000

  • Jain, Bhuvnesh; Van Waerbeke, Ludovic
  • The Astrophysical Journal, Vol. 530, Issue 1
  • DOI: 10.1086/312480

The Cosmology Dependence of weak Lensing Cluster Counts
journal, May 2009


An analytic approach to number counts of weak-lensing peak detections
journal, September 2010


Cosmological information in weak lensing peaks
journal, August 2011


The cosmological information of shear peaks: beyond the abundance
journal, April 2013

  • Marian, L.; Smith, R. E.; Hilbert, S.
  • Monthly Notices of the Royal Astronomical Society, Vol. 432, Issue 2
  • DOI: 10.1093/mnras/stt552

Cosmology with Minkowski functionals and moments of the weak lensing convergence field
journal, December 2013


Probing cosmology with weak lensing Minkowski functionals
journal, May 2012


Cosmology with the shear-peak statistics
journal, February 2010


Probing cosmology with weak lensing peak counts
journal, February 2010


Measuring Primordial Non-Gaussianity Through Weak-Lensing peak Counts
journal, January 2011


Optimized detection of shear peaks in weak lensing maps: Optimized detection of shear peaks in WL maps
journal, May 2012


Baryon impact on weak lensing peaks and power spectrum: Low-bias statistics and self-calibration in future surveys
journal, January 2013


CFHTLenS: cosmological constraints from a combination of cosmic shear two-point and three-point correlations
journal, May 2014

  • Fu, L.; Kilbinger, M.; Erben, T.
  • Monthly Notices of the Royal Astronomical Society, Vol. 441, Issue 3
  • DOI: 10.1093/mnras/stu754

Weak lensing from space: first cosmological constraints from three-point shear statistics★: COSMOS: three-point shear statistics
journal, September 2010

  • Semboloni, Elisabetta; Schrabback, Tim; van Waerbeke, Ludovic
  • Monthly Notices of the Royal Astronomical Society, Vol. 410, Issue 1
  • DOI: 10.1111/j.1365-2966.2010.17430.x

CFHTLenS: mapping the large-scale structure with gravitational lensing
journal, June 2013

  • Van Waerbeke, L.; Benjamin, J.; Erben, T.
  • Monthly Notices of the Royal Astronomical Society, Vol. 433, Issue 4
  • DOI: 10.1093/mnras/stt971

Weak Lensing Measurement of Galaxy Clusters in the Cfhtls-Wide Survey
journal, March 2012


Noisy Weak-Lensing Convergence peak Statistics near Clusters of Galaxies and Beyond
journal, July 2010


The Coyote Universe. i. Precision Determination of the Nonlinear Matter Power Spectrum
journal, April 2010


The Coyote Universe. ii. Cosmological Models and Precision Emulation of the Nonlinear Matter Power Spectrum
journal, October 2009


The Coyote Universe. iii. Simulation Suite and Precision Emulator for the Nonlinear Matter Power Spectrum
journal, April 2010


The Coyote Universe Extended: Precision Emulation of the Matter Power Spectrum
journal, December 2013


CFHTLenS: the Canada–France–Hawaii Telescope Lensing Survey – imaging data and catalogue products
journal, June 2013

  • Erben, T.; Hildebrandt, H.; Miller, L.
  • Monthly Notices of the Royal Astronomical Society, Vol. 433, Issue 3
  • DOI: 10.1093/mnras/stt928

CFHTLenS: improving the quality of photometric redshifts with precision photometry★: CFHTLenS: photometric redshifts
journal, February 2012


Bayesian galaxy shape measurement for weak lensing surveys – III. Application to the Canada–France–Hawaii Telescope Lensing Survey
journal, January 2013

  • Miller, L.; Heymans, C.; Kitching, T. D.
  • Monthly Notices of the Royal Astronomical Society, Vol. 429, Issue 4
  • DOI: 10.1093/mnras/sts454

Mapping the dark matter with weak gravitational lensing
journal, February 1993

  • Kaiser, Nick; Squires, Gordon
  • The Astrophysical Journal, Vol. 404
  • DOI: 10.1086/172297

Interpolating Masked Weak-Lensing Signal with Karhunen-LoÈVe Analysis
journal, December 2011


Mask Effects on Cosmological Studies with Weak-Lensing peak Statistics
journal, February 2014


Impact of magnification and size bias on the weak lensing power spectrum and peak statistics
journal, January 2014


Effect of Measurement Errors on Predicted Cosmological Constraints from Shear peak Statistics with Large Synoptic Survey Telescope
journal, August 2013


Efficient Computation of Cosmic Microwave Background Anisotropies in Closed Friedmann‐Robertson‐Walker Models
journal, August 2000

  • Lewis, Antony; Challinor, Anthony; Lasenby, Anthony
  • The Astrophysical Journal, Vol. 538, Issue 2
  • DOI: 10.1086/309179

Reduced shear power spectrum
journal, January 2006


SEVEN-YEAR WILKINSON MICROWAVE ANISOTROPY PROBE ( WMAP ) OBSERVATIONS: COSMOLOGICAL INTERPRETATION
journal, January 2011

  • Komatsu, E.; Smith, K. M.; Dunkley, J.
  • The Astrophysical Journal Supplement Series, Vol. 192, Issue 2
  • DOI: 10.1088/0067-0049/192/2/18

Stable clustering, the halo model and non-linear cosmological power spectra
journal, June 2003


Quantifying the effect of baryon physics on weak lensing tomography: Baryon physics and weak lensing tomography
journal, September 2011

  • Semboloni, Elisabetta; Hoekstra, Henk; Schaye, Joop
  • Monthly Notices of the Royal Astronomical Society, Vol. 417, Issue 3
  • DOI: 10.1111/j.1365-2966.2011.19385.x

Probing dark energy with cluster counts and cosmic shear power spectra: including the full covariance
journal, December 2007


Joint analysis of cluster number counts and weak lensing power spectrum to correct for the super-sample covariance
journal, May 2014

  • Takada, M.; Spergel, D. N.
  • Monthly Notices of the Royal Astronomical Society, Vol. 441, Issue 3
  • DOI: 10.1093/mnras/stu759

Simulations of Wide-Field weak Lensing Surveys. i. Basic Statistics and Non-Gaussian Effects
journal, July 2009


The cosmology dependence of weak lensing cluster counts
text, January 2009


Computer Simulation Using Particles
book, January 1988


Optimized detection of shear peaks in weak lensing maps
text, January 2012

  • Marian, Laura; Smith, Robert E.; Hilbert, Stefan
  • Wiley-Blackwell
  • DOI: 10.5167/uzh-72083

Gravitational Lensing
journal, January 2001


Gravitational lensing
journal, November 1996


Computer Simulation Using Particles
book, January 1988


Weak Gravitational Lensing and its Cosmological Applications
text, January 2008


Breaking the Degeneracy: Optimal Use of Three-point Weak Lensing Statistics
text, January 2009


Cosmology with the shear-peak statistics
text, January 2009


Probing Cosmology with Weak Lensing Peak Counts
text, January 2009


Evidence for the accelerated expansion of the Universe from weak lensing tomography with COSMOS
text, January 2009


Measuring primordial non-Gaussianity through weak lensing peak counts
text, January 2010


Weak lensing measurement of galaxy clusters in the CFHTLS-Wide survey
text, January 2011


Interpolating Masked Weak Lensing Signal with Karhunen-Loeve Analysis
text, January 2011


Cosmology with Minkowski functionals and moments of the weak lensing convergence field
text, January 2013


Weak Lensing Predictions at Intermediate Scales
text, January 2000


The Kurtosis of the Cosmic Shear Field
text, January 2002


Stable clustering, the halo model and nonlinear cosmological power spectra
text, January 2002


Weak Gravitational Lensing by Large-Scale Structure
text, January 2003


Reduced Shear Power Spectrum
text, January 2005


Works referencing / citing this record:

An improved cosmological parameter inference scheme motivated by deep learning
journal, October 2018


A new model to predict weak-lensing peak counts: II. Parameter constraint strategies
journal, October 2015


A new model to predict weak-lensing peak counts: III. Filtering technique comparisons
journal, September 2016


Quantifying systematics from the shear inversion on weak-lensing peak counts
journal, June 2018


Cosmic shear covariance matrix in w CDM: Cosmology matters
journal, November 2019


Cosmology with cosmic shear observations: a review
journal, July 2015


Dark energy two decades after: observables, probes, consistency tests
journal, December 2017


RAY-RAMSES: a code for ray tracing on the fly in N-body simulations
journal, May 2016

  • Barreira, Alexandre; Llinares, Claudio; Bose, Sownak
  • Journal of Cosmology and Astroparticle Physics, Vol. 2016, Issue 05
  • DOI: 10.1088/1475-7516/2016/05/001

MassiveNuS: cosmological massive neutrino simulations
journal, March 2018

  • Liu, Jia; Bird, Simeon; Matilla, José Manuel Zorrilla
  • Journal of Cosmology and Astroparticle Physics, Vol. 2018, Issue 03
  • DOI: 10.1088/1475-7516/2018/03/049

Weak lensing peak statistics in the era of large scale cosmological surveys
journal, October 2018


Constraining neutrino mass with the tomographic weak lensing bispectrum
journal, May 2019

  • Coulton, William R.; Liu, Jia; Madhavacheril, Mathew S.
  • Journal of Cosmology and Astroparticle Physics, Vol. 2019, Issue 05
  • DOI: 10.1088/1475-7516/2019/05/043

An accurate halo model for fitting non-linear cosmological power spectra and baryonic feedback models
journal, October 2015

  • Mead, A. J.; Peacock, J. A.; Heymans, C.
  • Monthly Notices of the Royal Astronomical Society, Vol. 454, Issue 2
  • DOI: 10.1093/mnras/stv2036

Cosmological constraints from weak lensing peak statistics with Canada-France-Hawaii Telescope Stripe 82 Survey
journal, May 2015

  • Liu, X.; Pan, C.; Li, R.
  • Monthly Notices of the Royal Astronomical Society, Vol. 450, Issue 3
  • DOI: 10.1093/mnras/stv784

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
  • DOI: 10.1093/mnras/stw2070

The imprint of f(R) gravity on weak gravitational lensing – II. Information content in cosmic shear statistics
journal, December 2016

  • Shirasaki, Masato; Nishimichi, Takahiro; Li, Baojiu
  • Monthly Notices of the Royal Astronomical Society, Vol. 466, Issue 2
  • DOI: 10.1093/mnras/stw3254

KiDS-450: cosmological constraints from weak-lensing peak statistics – II: Inference from shear peaks using N-body simulations
journal, October 2017

  • Martinet, Nicolas; Schneider, Peter; Hildebrandt, Hendrik
  • Monthly Notices of the Royal Astronomical Society, Vol. 474, Issue 1
  • DOI: 10.1093/mnras/stx2793

KiDS-450: cosmological constraints from weak lensing peak statistics – I. Inference from analytical prediction of high signal-to-noise ratio convergence peaks
journal, November 2017

  • Shan, HuanYuan; Liu, Xiangkun; Hildebrandt, Hendrik
  • Monthly Notices of the Royal Astronomical Society, Vol. 474, Issue 1
  • DOI: 10.1093/mnras/stx2837

Cosmological simulations for combined-probe analyses: covariance and neighbour-exclusion bias
journal, August 2018

  • Harnois-Déraps, J.; Amon, A.; Choi, A.
  • Monthly Notices of the Royal Astronomical Society, Vol. 481, Issue 1
  • DOI: 10.1093/mnras/sty2319

Studying galaxy troughs and ridges using weak gravitational lensing with the Kilo-Degree Survey
journal, September 2018

  • Brouwer, Margot M.; Demchenko, Vasiliy; Harnois-Déraps, Joachim
  • Monthly Notices of the Royal Astronomical Society, Vol. 481, Issue 4
  • DOI: 10.1093/mnras/sty2589

The self-similarity of weak lensing peaks
journal, August 2019

  • Davies, Christopher T.; Cautun, Marius; Li, Baojiu
  • Monthly Notices of the Royal Astronomical Society, Vol. 488, Issue 4
  • DOI: 10.1093/mnras/stz2157

Weak lensing cosmology with convolutional neural networks on noisy data
journal, September 2019

  • Ribli, Dezső; Pataki, Bálint Ármin; Zorrilla Matilla, José Manuel
  • Monthly Notices of the Royal Astronomical Society, Vol. 490, Issue 2
  • DOI: 10.1093/mnras/stz2610

On the road to per cent accuracy – II. Calibration of the non-linear matter power spectrum for arbitrary cosmologies
journal, September 2019

  • Giblin, Benjamin; Cataneo, Matteo; Moews, Ben
  • Monthly Notices of the Royal Astronomical Society, Vol. 490, Issue 4
  • DOI: 10.1093/mnras/stz2659

The matter fluctuation amplitude inferred from the weak lensing power spectrum and correlation function in CFHTLenS data
journal, October 2019

  • Lu, Tianhuan; Haiman, Zoltán
  • Monthly Notices of the Royal Astronomical Society, Vol. 490, Issue 4
  • DOI: 10.1093/mnras/stz2931

Cosmological constraints from Subaru weak lensing cluster counts
journal, June 2015

  • Hamana, Takashi; Sakurai, Junya; Koike, Michitaro
  • Publications of the Astronomical Society of Japan, Vol. 67, Issue 3
  • DOI: 10.1093/pasj/psv034

CosmoGAN: creating high-fidelity weak lensing convergence maps using Generative Adversarial Networks
journal, May 2019

  • Mustafa, Mustafa; Bard, Deborah; Bhimji, Wahid
  • Computational Astrophysics and Cosmology, Vol. 6, Issue 1
  • DOI: 10.1186/s40668-019-0029-9

Projection Effects of Large-scale Structures on Weak-lensing Peak Abundances
journal, April 2018


Cosmological Studies from Tomographic Weak Lensing Peak Abundances and Impacts of Photo- z Errors
journal, October 2019


A new model to predict weak-lensing peak counts: I. Comparison with
journal, March 2015


An accurate halo model for fitting non-linear cosmological power spectra and baryonic feedback models
text, January 2015


RAY-RAMSES: a code for ray tracing on the fly in N-body simulations
text, January 2016


Dark energy two decades after: Observables, probes, consistency tests
text, January 2017


Projection effects of large-scale structures on weak-lensing peak abundances
text, January 2018


Cosmological constraints from noisy convergence maps through deep learning
text, January 2018


Constraining neutrino mass with tomographic weak lensing peak counts
text, January 2018


Weak lensing cosmology with convolutional neural networks on noisy data
text, January 2019