skip to main content
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Practical Weak-lensing Shear Measurement with Metacalibration

Abstract

We report that metacalibration is a recently introduced method to accurately measure weak gravitational lensing shear using only the available imaging data, without need for prior information about galaxy properties or calibration from simulations. The method involves distorting the image with a small known shear, and calculating the response of a shear estimator to that applied shear. The method was shown to be accurate in moderate-sized simulations with galaxy images that had relatively high signal-to-noise ratios, and without significant selection effects. In this work we introduce a formalism to correct for both shear response and selection biases. We also observe that for images with relatively low signal-to-noise ratios, the correlated noise that arises during the metacalibration process results in significant bias, for which we develop a simple empirical correction. To test this formalism, we created large image simulations based on both parametric models and real galaxy images, including tests with realistic point-spread functions. We varied the point-spread function ellipticity at the five-percent level. In each simulation we applied a small few-percent shear to the galaxy images. We introduced additional challenges that arise in real data, such as detection thresholds, stellar contamination, and missing data. We applied cuts on the measuredmore » galaxy properties to induce significant selection effects. Finally, using our formalism, we recovered the input shear with an accuracy better than a part in a thousand in all cases.« less

Authors:
 [1];  [2]
  1. Brookhaven National Lab. (BNL), Upton, NY (United States)
  2. California Inst. of Technology (CalTech), Pasadena, CA (United States). Jet Propulsion Lab.
Publication Date:
Research Org.:
Brookhaven National Lab. (BNL), Upton, NY (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
OSTI Identifier:
1376137
Report Number(s):
BNL-114074-2017-JA
Journal ID: ISSN 1538-4357
Grant/Contract Number:  
SC0012704
Resource Type:
Accepted Manuscript
Journal Name:
The Astrophysical Journal (Online)
Additional Journal Information:
Journal Name: The Astrophysical Journal (Online); Journal Volume: 841; Journal Issue: 1; Journal ID: ISSN 1538-4357
Publisher:
Institute of Physics (IOP)
Country of Publication:
United States
Language:
English
Subject:
79 ASTRONOMY AND ASTROPHYSICS; cosmology: observations; gravitational lensing: weak; methods: observational

Citation Formats

Sheldon, Erin S., and Huff, Eric M. Practical Weak-lensing Shear Measurement with Metacalibration. United States: N. p., 2017. Web. doi:10.3847/1538-4357/aa704b.
Sheldon, Erin S., & Huff, Eric M. Practical Weak-lensing Shear Measurement with Metacalibration. United States. doi:10.3847/1538-4357/aa704b.
Sheldon, Erin S., and Huff, Eric M. Fri . "Practical Weak-lensing Shear Measurement with Metacalibration". United States. doi:10.3847/1538-4357/aa704b. https://www.osti.gov/servlets/purl/1376137.
@article{osti_1376137,
title = {Practical Weak-lensing Shear Measurement with Metacalibration},
author = {Sheldon, Erin S. and Huff, Eric M.},
abstractNote = {We report that metacalibration is a recently introduced method to accurately measure weak gravitational lensing shear using only the available imaging data, without need for prior information about galaxy properties or calibration from simulations. The method involves distorting the image with a small known shear, and calculating the response of a shear estimator to that applied shear. The method was shown to be accurate in moderate-sized simulations with galaxy images that had relatively high signal-to-noise ratios, and without significant selection effects. In this work we introduce a formalism to correct for both shear response and selection biases. We also observe that for images with relatively low signal-to-noise ratios, the correlated noise that arises during the metacalibration process results in significant bias, for which we develop a simple empirical correction. To test this formalism, we created large image simulations based on both parametric models and real galaxy images, including tests with realistic point-spread functions. We varied the point-spread function ellipticity at the five-percent level. In each simulation we applied a small few-percent shear to the galaxy images. We introduced additional challenges that arise in real data, such as detection thresholds, stellar contamination, and missing data. We applied cuts on the measured galaxy properties to induce significant selection effects. Finally, using our formalism, we recovered the input shear with an accuracy better than a part in a thousand in all cases.},
doi = {10.3847/1538-4357/aa704b},
journal = {The Astrophysical Journal (Online)},
number = 1,
volume = 841,
place = {United States},
year = {2017},
month = {5}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 27 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

Shape measurement biases from underfitting and ellipticity gradients: Shape measurement biases
journal, June 2010


Bayesian lensing shear measurement
journal, January 2014

  • Bernstein, Gary M.; Armstrong, Robert
  • Monthly Notices of the Royal Astronomical Society, Vol. 438, Issue 2
  • DOI: 10.1093/mnras/stt2326

An accurate and practical method for inference of weak gravitational lensing from galaxy images
journal, April 2016

  • Bernstein, Gary M.; Armstrong, Robert; Krawiec, Christina
  • Monthly Notices of the Royal Astronomical Society, Vol. 459, Issue 4
  • DOI: 10.1093/mnras/stw879

Shapes and Shears, Stars and Smears: Optimal Measurements for Weak Lensing
journal, February 2002

  • Bernstein, G. M.; Jarvis, M.
  • The Astronomical Journal, Vol. 123, Issue 2
  • DOI: 10.1086/338085

A Direct Empirical Proof of the Existence of Dark Matter
journal, August 2006

  • Clowe, Douglas; Bradač, Maruša; Gonzalez, Anthony H.
  • The Astrophysical Journal, Vol. 648, Issue 2
  • DOI: 10.1086/508162

Calibration of weak-lensing shear in the Kilo-Degree Survey
journal, January 2017

  • Conti, I. Fenech; Herbonnet, R.; Hoekstra, H.
  • Monthly Notices of the Royal Astronomical Society
  • DOI: 10.1093/mnras/stx200

CFHTLenS tomographic weak lensing cosmological parameter constraints: Mitigating the impact of intrinsic galaxy alignments
journal, May 2013

  • Heymans, Catherine; Grocutt, Emma; Heavens, Alan
  • Monthly Notices of the Royal Astronomical Society, Vol. 432, Issue 3
  • DOI: 10.1093/mnras/stt601

Intrinsic galaxy alignments from the 2SLAQ and SDSS surveys: luminosity and redshift scalings and implications for weak lensing surveys: Intrinsic alignments
journal, September 2007

  • Hirata, Christopher M.; Mandelbaum, Rachel; Ishak, Mustapha
  • Monthly Notices of the Royal Astronomical Society, Vol. 381, Issue 3
  • DOI: 10.1111/j.1365-2966.2007.12312.x

Galaxy-galaxy weak lensing in the Sloan Digital Sky Survey: intrinsic alignments and shear calibration errors
journal, September 2004

  • Hirata, Christopher M.; Mandelbaum, Rachel; Seljak, Uroš
  • Monthly Notices of the Royal Astronomical Society, Vol. 353, Issue 2
  • DOI: 10.1111/j.1365-2966.2004.08090.x

Weak Gravitational Lensing and Its Cosmological Applications
journal, November 2008


A study of the sensitivity of shape measurements to the input parameters of weak-lensing image simulations
journal, March 2017

  • Hoekstra, Henk; Viola, Massimo; Herbonnet, Ricardo
  • Monthly Notices of the Royal Astronomical Society, Vol. 468, Issue 3
  • DOI: 10.1093/mnras/stx724

Systematic errors in future weak-lensing surveys: requirements and prospects for self-calibration
journal, February 2006


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
  • DOI: 10.1093/mnras/stw990

Cosmic Shear Results from the deep lens Survey. ii. full Cosmological Parameter Constraints from Tomography
journal, June 2016


A New Shear Estimator for Weak‐Lensing Observations
journal, July 2000

  • Kaiser, Nick
  • The Astrophysical Journal, Vol. 537, Issue 2
  • DOI: 10.1086/309041

A Method for Weak Lensing Observations
journal, August 1995

  • Kaiser, Nick; Squires, Gordon; Broadhurst, Tom
  • The Astrophysical Journal, Vol. 449
  • DOI: 10.1086/176071

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

Astrophysically motivated bulge-disc decompositions of Sloan Digital Sky Survey galaxies: Bulge-disc decomposition of SDSS galaxies
journal, February 2012


The Third Gravitational Lensing Accuracy Testing (Great3) Challenge Handbook
journal, April 2014

  • Mandelbaum, Rachel; Rowe, Barnaby; Bosch, James
  • The Astrophysical Journal Supplement Series, Vol. 212, Issue 1
  • DOI: 10.1088/0067-0049/212/1/5

Galaxy halo masses and satellite fractions from galaxy-galaxy lensing in the Sloan Digital Sky Survey: stellar mass, luminosity, morphology and environment dependencies
journal, May 2006


First measurement of gravitational lensing by cosmic voids in SDSS
journal, April 2014

  • Melchior, Peter; Sutter, P. M.; Sheldon, Erin S.
  • Monthly Notices of the Royal Astronomical Society, Vol. 440, Issue 4
  • DOI: 10.1093/mnras/stu456

Means of confusion: how pixel noise affects shear estimates for weak gravitational lensing: How pixel noise affects shear estimates
journal, July 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

Zernike polynomials and atmospheric turbulence*
journal, January 1976


The Systematic Error test for psf Correction in weak Gravitational Lensing Shear Measurement by the era Method by Idealizing psf
journal, August 2016


A way forward for Cosmic Shear: Monte-Carlo Control Loops
journal, April 2014


Noise bias in weak lensing shape measurements: Noise bias in lensing shape measurement
journal, August 2012

  • Refregier, Alexandre; Kacprzak, Tomasz; Amara, Adam
  • Monthly Notices of the Royal Astronomical Society, Vol. 425, Issue 3
  • DOI: 10.1111/j.1365-2966.2012.21483.x

GalSim: The modular galaxy image simulation toolkit
journal, April 2015


Hierarchical Probabilistic Inference of Cosmic Shear
journal, July 2015

  • Schneider, Michael D.; Hogg, David W.; Marshall, Philip J.
  • The Astrophysical Journal, Vol. 807, Issue 1
  • DOI: 10.1088/0004-637X/807/1/87

COSMOS: Hubble Space Telescope Observations
journal, September 2007

  • Scoville, N.; Abraham, R. G.; Aussel, H.
  • The Astrophysical Journal Supplement Series, Vol. 172, Issue 1
  • DOI: 10.1086/516580

Large Structures and Galaxy Evolution in COSMOS at z < 1.1
journal, September 2007

  • Scoville, N.; Aussel, H.; Benson, A.
  • The Astrophysical Journal Supplement Series, Vol. 172, Issue 1
  • DOI: 10.1086/516751

Cross-Correlation weak Lensing of sdss Galaxy Clusters. i. Measurements
journal, September 2009


No galaxy left behind: accurate measurements with the faintest objects in the Dark Energy Survey
journal, January 2016

  • Suchyta, E.; Huff, E. M.; Aleksić, J.
  • Monthly Notices of the Royal Astronomical Society, Vol. 457, Issue 1
  • DOI: 10.1093/mnras/stv2953

Galaxy mass distribution from gravitational light deflection
journal, June 1984

  • Tyson, J. A.; Valdes, F.; Jarvis, J. F.
  • The Astrophysical Journal, Vol. 281
  • DOI: 10.1086/184285

Measuring the cosmic shear in Fourier space: Measuring the cosmic shear in Fourier space
journal, December 2007


Accurate shear measurement with faint sources
journal, January 2015

  • Zhang, Jun; Luo, Wentao; Foucaud, Sebastien
  • Journal of Cosmology and Astroparticle Physics, Vol. 2015, Issue 01
  • DOI: 10.1088/1475-7516/2015/01/024

Approaching the CramÉR–Rao Bound in weak Lensing with pdf Symmetrization
journal, December 2016


im3shape: a maximum likelihood galaxy shear measurement code for cosmic gravitational lensing
journal, July 2013

  • Zuntz, Joe; Kacprzak, Tomasz; Voigt, Lisa
  • Monthly Notices of the Royal Astronomical Society, Vol. 434, Issue 2
  • DOI: 10.1093/mnras/stt1125

    Works referencing / citing this record:

    The Dark Energy Survey Image Processing Pipeline
    journal, May 2018

    • Morganson, E.; Gruendl, R. A.; Menanteau, F.
    • Publications of the Astronomical Society of the Pacific, Vol. 130, Issue 989
    • DOI: 10.1088/1538-3873/aab4ef