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Title: A framework for measuring weak-lensing magnification using the Fundamental Plane

Abstract

ABSTRACT Galaxy–galaxy lensing is an essential tool for probing dark matter haloes and constraining cosmological parameters. While galaxy–galaxy lensing measurements usually rely on shear, weak-lensing magnification contains additional constraining information. Using the Fundamental Plane (FP) of elliptical galaxies to anchor the size distribution of a background population is one method that has been proposed for performing a magnification measurement. We present a formalism for using the FP residuals of elliptical galaxies to jointly estimate the foreground mass and background redshift errors for a stacked lens scenario. The FP residuals include information about weak-lensing magnification κ, and therefore foreground mass, since to first order, non-zero κ affects galaxy size but not other FP properties. We also present a modular, extensible code that implements the formalism using emulated galaxy catalogues of a photometric galaxy survey. We find that combining FP information with observed number counts of the source galaxies constrains mass and photo-z error parameters significantly better than an estimator that includes number counts only. In particular, the constraint on the mass is 17.0 per cent if FP residuals are included, as opposed to 27.7 per cent when only number counts are included. The effective size noise for a foreground lens of mass $$M_\mathrm{ H}=10^{14}\, \mathrm{M}_\odot$$, with a conservative selection function in size and surface brightness applied to the source population, is σκ, eff = 0.250. We discuss the improvements to our FP model necessary to make this formalism a practical companion to shear analyses in weak-lensing surveys.

Authors:
ORCiD logo [1];  [2];  [3]
  1. Center for Cosmology and AstroParticle Physics (CCAPP), The Ohio State University, Columbus, Ohio 43210, USA, Department of Astronomy, The Ohio State University, 140 West 18th Avenue, Columbus, Ohio 43210, USA
  2. Jet Propulsion Laboratory, California Institute of Technology, 4800 Oak Grove Dr., Pasadena, CA 91109, USA
  3. Center for Cosmology and AstroParticle Physics (CCAPP), The Ohio State University, Columbus, Ohio 43210, USA, Department of Astronomy, The Ohio State University, 140 West 18th Avenue, Columbus, Ohio 43210, USA, Department of Physics, The Ohio State University, 191 West Woodruff Avenue, Columbus, Ohio 43210, USA
Publication Date:
Sponsoring Org.:
USDOE
OSTI Identifier:
1636227
Grant/Contract Number:  
SC0019083
Resource Type:
Published Article
Journal Name:
Monthly Notices of the Royal Astronomical Society
Additional Journal Information:
Journal Name: Monthly Notices of the Royal Astronomical Society Journal Volume: 496 Journal Issue: 3; Journal ID: ISSN 0035-8711
Publisher:
Oxford University Press
Country of Publication:
United Kingdom
Language:
English

Citation Formats

Freudenburg, Jenna K. C., Huff, Eric M., and Hirata, Christopher M. A framework for measuring weak-lensing magnification using the Fundamental Plane. United Kingdom: N. p., 2020. Web. https://doi.org/10.1093/mnras/staa1505.
Freudenburg, Jenna K. C., Huff, Eric M., & Hirata, Christopher M. A framework for measuring weak-lensing magnification using the Fundamental Plane. United Kingdom. https://doi.org/10.1093/mnras/staa1505
Freudenburg, Jenna K. C., Huff, Eric M., and Hirata, Christopher M. Thu . "A framework for measuring weak-lensing magnification using the Fundamental Plane". United Kingdom. https://doi.org/10.1093/mnras/staa1505.
@article{osti_1636227,
title = {A framework for measuring weak-lensing magnification using the Fundamental Plane},
author = {Freudenburg, Jenna K. C. and Huff, Eric M. and Hirata, Christopher M.},
abstractNote = {ABSTRACT Galaxy–galaxy lensing is an essential tool for probing dark matter haloes and constraining cosmological parameters. While galaxy–galaxy lensing measurements usually rely on shear, weak-lensing magnification contains additional constraining information. Using the Fundamental Plane (FP) of elliptical galaxies to anchor the size distribution of a background population is one method that has been proposed for performing a magnification measurement. We present a formalism for using the FP residuals of elliptical galaxies to jointly estimate the foreground mass and background redshift errors for a stacked lens scenario. The FP residuals include information about weak-lensing magnification κ, and therefore foreground mass, since to first order, non-zero κ affects galaxy size but not other FP properties. We also present a modular, extensible code that implements the formalism using emulated galaxy catalogues of a photometric galaxy survey. We find that combining FP information with observed number counts of the source galaxies constrains mass and photo-z error parameters significantly better than an estimator that includes number counts only. In particular, the constraint on the mass is 17.0 per cent if FP residuals are included, as opposed to 27.7 per cent when only number counts are included. The effective size noise for a foreground lens of mass $M_\mathrm{ H}=10^{14}\, \mathrm{M}_\odot$, with a conservative selection function in size and surface brightness applied to the source population, is σκ, eff = 0.250. We discuss the improvements to our FP model necessary to make this formalism a practical companion to shear analyses in weak-lensing surveys.},
doi = {10.1093/mnras/staa1505},
journal = {Monthly Notices of the Royal Astronomical Society},
number = 3,
volume = 496,
place = {United Kingdom},
year = {2020},
month = {6}
}

Journal Article:
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https://doi.org/10.1093/mnras/staa1505

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Works referenced in this record:

Strong bimodality in the host halo mass of central galaxies from galaxy–galaxy lensing
journal, February 2016

  • Mandelbaum, Rachel; Wang, Wenting; Zu, Ying
  • Monthly Notices of the Royal Astronomical Society, Vol. 457, Issue 3
  • DOI: 10.1093/mnras/stw188

Detection of Cosmic Magnification with the Sloan Digital Sky Survey
journal, November 2005

  • Scranton, Ryan; Menard, Brice; Richards, Gordon T.
  • The Astrophysical Journal, Vol. 633, Issue 2
  • DOI: 10.1086/431358

Calibrating Redshift Distributions beyond Spectroscopic Limits with Cross‐Correlations
journal, September 2008

  • Newman, Jeffrey A.
  • The Astrophysical Journal, Vol. 684, Issue 1
  • DOI: 10.1086/589982

The Astropy Project: Building an Open-science Project and Status of the v2.0 Core Package
journal, August 2018

  • Price-Whelan, A. M.; Sipőcz, B. M.; Günther, H. M.
  • The Astronomical Journal, Vol. 156, Issue 3
  • DOI: 10.3847/1538-3881/aabc4f

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

First data release of the Hyper Suprime-Cam Subaru Strategic Program
journal, October 2017

  • Aihara, Hiroaki; Armstrong, Robert; Bickerton, Steven
  • Publications of the Astronomical Society of Japan, Vol. 70, Issue SP1
  • DOI: 10.1093/pasj/psx081

Weak Gravitational Lensing by Galaxies
journal, August 1996

  • Brainerd, Tereasa G.; Blandford, Roger D.; Smail, Ian
  • The Astrophysical Journal, Vol. 466
  • DOI: 10.1086/177537

Galaxy‐Galaxy Lensing in the Hubble Deep Field: The Halo Tully‐Fisher Relation at Intermediate Redshift
journal, August 1998

  • Hudson, Michael J.; Gwyn, Stephen D. J.; Dahle, Hakon
  • The Astrophysical Journal, Vol. 503, Issue 2
  • DOI: 10.1086/306026

Accounting for baryons in cosmological constraints from cosmic shear
journal, February 2013


The Lens Parallax Method: Determining Redshifts of Faint Blue Galaxies through Gravitational Lensing
journal, September 1995

  • Bartelmann, Matthias; Narayan, Ramesh
  • The Astrophysical Journal, Vol. 451
  • DOI: 10.1086/176200

Looking at the Fundamental Plane through a Gravitational Lens
journal, August 2006

  • Bertin, G.; Lombardi, M.
  • The Astrophysical Journal, Vol. 648, Issue 1
  • DOI: 10.1086/507298

Cosmology and fundamental physics with the Euclid satellite
journal, April 2018

  • Amendola, Luca; Appleby, Stephen; Avgoustidis, Anastasios
  • Living Reviews in Relativity, Vol. 21, Issue 1
  • DOI: 10.1007/s41114-017-0010-3

PHAT: PHoto- z Accuracy Testing
journal, November 2010


Dark Energy Survey year 1 results: Cosmological constraints from galaxy clustering and weak lensing
journal, August 2018


A halo mass—concentration relation from weak lensing
journal, August 2008

  • Mandelbaum, Rachel; Seljak, Uroš; Hirata, Christopher M.
  • Journal of Cosmology and Astroparticle Physics, Vol. 2008, Issue 08
  • DOI: 10.1088/1475-7516/2008/08/006

Tomographic magnification of Lyman-break galaxies in the Deep Lens Survey: Tomographic magnification
journal, October 2012


Practical Weak-lensing Shear Measurement with Metacalibration
journal, May 2017


Magnificent Magnification: Exploiting the Other half of the Lensing Signal
journal, December 2013


Intrinsic correlation of galaxy shapes: implications for weak lensing measurements
journal, December 2000

  • Heavens, Alan; Refregier, Alexandre; Heymans, Catherine
  • Monthly Notices of the Royal Astronomical Society, Vol. 319, Issue 2
  • DOI: 10.1046/j.1365-8711.2000.03907.x

Pseudo elliptical lensing mass model: Application to the NFW mass distribution
journal, August 2002


Planck 2013 results. XVI. Cosmological parameters
journal, October 2014


Emulating galaxy clustering and galaxy–galaxy lensing into the deeply non-linear regime: methodology, information, and forecasts
journal, August 2018

  • Wibking, Benjamin D.; Salcedo, Andrés N.; Weinberg, David H.
  • Monthly Notices of the Royal Astronomical Society, Vol. 484, Issue 1
  • DOI: 10.1093/mnras/sty2258

The Eleventh and Twelfth data Releases of the Sloan Digital sky Survey: Final data from Sdss-Iii
journal, July 2015

  • Alam, Shadab; Albareti, Franco D.; Prieto, Carlos Allende
  • The Astrophysical Journal Supplement Series, Vol. 219, Issue 1
  • DOI: 10.1088/0067-0049/219/1/12

A Detection of Weak-Lensing Magnification Using Galaxy Sizes and Magnitudes
journal, December 2011


GREAT3 results – I. Systematic errors in shear estimation and the impact of real galaxy morphology
journal, May 2015

  • Mandelbaum, Rachel; Rowe, Barnaby; Armstrong, Robert
  • Monthly Notices of the Royal Astronomical Society, Vol. 450, Issue 3
  • DOI: 10.1093/mnras/stv781

Measuring the galaxy-mass and galaxy-dust correlations through magnification and reddening: Magnification and dust reddening
journal, May 2010


KiDS-450: the tomographic weak lensing power spectrum and constraints on cosmological parameters
journal, July 2017

  • Köhlinger, F.; Viola, M.; Joachimi, B.
  • Monthly Notices of the Royal Astronomical Society, Vol. 471, Issue 4
  • DOI: 10.1093/mnras/stx1820

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

The effects of galaxy formation on the matter power spectrum: a challenge for precision cosmology: Galaxy formation and the matter power spectrum
journal, July 2011


Dark Energy Survey Year 1 results: weak lensing shape catalogues
journal, August 2018

  • Zuntz, J.; Sheldon, E.; Samuroff, S.
  • Monthly Notices of the Royal Astronomical Society, Vol. 481, Issue 1
  • DOI: 10.1093/mnras/sty2219

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

Observational probes of cosmic acceleration
journal, September 2013


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
  • DOI: 10.1093/mnras/stv2000

Photometric redshift analysis in the Dark Energy Survey Science Verification data
journal, October 2014

  • Sánchez, C.; Carrasco Kind, M.; Lin, H.
  • Monthly Notices of the Royal Astronomical Society, Vol. 445, Issue 2
  • DOI: 10.1093/mnras/stu1836

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


Limitations of model-fitting methods for lensing shear estimation
journal, March 2010


The Dark Energy Survey: Data Release 1
journal, November 2018

  • Abbott, T. M. C.; Abdalla, F. B.; Allam, S.
  • The Astrophysical Journal Supplement Series, Vol. 239, Issue 2
  • DOI: 10.3847/1538-4365/aae9f0

Measurement and calibration of noise bias in weak lensing galaxy shape estimation
journal, December 2012


Precision simulation of ground-based lensing data using observations from space: Ground-based image simulation
journal, December 2011

  • Mandelbaum, Rachel; Hirata, Christopher M.; Leauthaud, Alexie
  • Monthly Notices of the Royal Astronomical Society, Vol. 420, Issue 2
  • DOI: 10.1111/j.1365-2966.2011.20138.x

The impact of intrinsic alignment on current and future cosmic shear surveys
journal, December 2015

  • Krause, Elisabeth; Eifler, Tim; Blazek, Jonathan
  • Monthly Notices of the Royal Astronomical Society, Vol. 456, Issue 1
  • DOI: 10.1093/mnras/stv2615

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


Detection of spatial correlations of Fundamental Plane residuals, and cosmological implications
journal, September 2015

  • Joachimi, Benjamin; Singh, Sukhdeep; Mandelbaum, Rachel
  • Monthly Notices of the Royal Astronomical Society, Vol. 454, Issue 1
  • DOI: 10.1093/mnras/stv1962

The Complete Calibration of the Color–Redshift Relation (C3R2) Survey: Survey Overview and Data Release 1
journal, May 2017

  • Masters, Daniel C.; Stern, Daniel K.; Cohen, Judith G.
  • The Astrophysical Journal, Vol. 841, Issue 2
  • DOI: 10.3847/1538-4357/aa6f08

Effects of Baryons and Dissipation on the Matter Power Spectrum
journal, January 2008

  • Rudd, Douglas H.; Zentner, Andrew R.; Kravtsov, Andrey V.
  • The Astrophysical Journal, Vol. 672, Issue 1
  • DOI: 10.1086/523836

The Shear Testing Programme – I. Weak lensing analysis of simulated ground-based observations
journal, April 2006

  • Heymans, Catherine; Van Waerbeke, Ludovic; Bacon, David
  • Monthly Notices of the Royal Astronomical Society, Vol. 368, Issue 3
  • DOI: 10.1111/j.1365-2966.2006.10198.x

Seeing in the dark – II. Cosmic shear in the Sloan Digital Sky Survey
journal, March 2014

  • Huff, Eric M.; Eifler, Tim; Hirata, Christopher M.
  • Monthly Notices of the Royal Astronomical Society, Vol. 440, Issue 2
  • DOI: 10.1093/mnras/stu145

The WiggleZ Dark Energy Survey: direct constraints on blue galaxy intrinsic alignments at intermediate redshifts: WiggleZ intrinsic alignments
journal, October 2010


The Angular Correlation Function of Galaxies from Early Sloan Digital Sky Survey Data
journal, November 2002

  • Connolly, Andrew J.; Scranton, Ryan; Johnston, David
  • The Astrophysical Journal, Vol. 579, Issue 1
  • DOI: 10.1086/342787

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

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

The ‘Photometric Plane’ of elliptical galaxies
journal, August 2002


Gravitational Lensing by NFW Halos
journal, May 2000

  • Wright, Candace Oaxaca; Brainerd, Tereasa G.
  • The Astrophysical Journal, Vol. 534, Issue 1
  • DOI: 10.1086/308744

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


Weak Lensing for Precision Cosmology
journal, September 2018


Spin‐induced Galaxy Alignments and Their Implications for Weak‐Lensing Measurements
journal, October 2001

  • Crittenden, Robert G.; Natarajan, Priyamvada; Pen, Ue‐Li
  • The Astrophysical Journal, Vol. 559, Issue 2
  • DOI: 10.1086/322370

The Galaxy-Mass Correlation Function Measured from Weak Lensing in the Sloan Digital Sky Survey
journal, May 2004

  • Sheldon, Erin S.; Johnston, David E.; Frieman, Joshua A.
  • The Astronomical Journal, Vol. 127, Issue 5
  • DOI: 10.1086/383293

A radial measurement of the galaxy tidal alignment magnitude with BOSS data
journal, May 2018

  • Martens, Daniel; Hirata, Christopher M.; Ross, Ashley J.
  • Monthly Notices of the Royal Astronomical Society, Vol. 478, Issue 1
  • DOI: 10.1093/mnras/sty1100

How accurately can we measure weak gravitational shear?
journal, February 2001


Active Galactic Nucleus Outflows and the Matter Power Spectrum
journal, September 2006

  • Levine, Robyn; Gnedin, Nickolay Y.
  • The Astrophysical Journal, Vol. 649, Issue 2
  • DOI: 10.1086/508370

Photometric redshifts for Hyper Suprime-Cam Subaru Strategic Program Data Release 1
journal, October 2017

  • Tanaka, Masayuki; Coupon, Jean; Hsieh, Bau-Ching
  • Publications of the Astronomical Society of Japan, Vol. 70, Issue SP1
  • DOI: 10.1093/pasj/psx077

Cosmological constraints from cosmic shear two-point correlation functions with HSC survey first-year data
journal, February 2020

  • Hamana, Takashi; Shirasaki, Masato; Miyazaki, Satoshi
  • Publications of the Astronomical Society of Japan, Vol. 72, Issue 1
  • DOI: 10.1093/pasj/psz138

Early-Type Galaxies in the Sloan Digital Sky Survey. III. The Fundamental Plane
journal, April 2003

  • Bernardi, Mariangela; Sheth, Ravi K.; Annis, James
  • The Astronomical Journal, Vol. 125, Issue 4
  • DOI: 10.1086/367794

Weak gravitational lensing
journal, January 2001


IPython: A System for Interactive Scientific Computing
journal, January 2007

  • Perez, Fernando; Granger, Brian E.
  • Computing in Science & Engineering, Vol. 9, Issue 3
  • DOI: 10.1109/MCSE.2007.53

Shear and magnification: cosmic complementarity
journal, January 2010


The third data release of the Kilo-Degree Survey and associated data products
journal, August 2017


KiDS-450: cosmological parameter constraints from tomographic weak gravitational lensing
journal, November 2016

  • Hildebrandt, H.; Viola, M.; Heymans, C.
  • Monthly Notices of the Royal Astronomical Society, Vol. 465, Issue 2
  • DOI: 10.1093/mnras/stw2805

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


Dark Energy Survey Year 1 Results: redshift distributions of the weak-lensing source galaxies
journal, April 2018

  • Hoyle, B.; Gruen, D.; Bernstein, G. M.
  • Monthly Notices of the Royal Astronomical Society, Vol. 478, Issue 1
  • DOI: 10.1093/mnras/sty957

Baryonic Effects in Cosmic Shear Tomography: PCA Parameterization and the Importance of Extreme Baryonic Models
journal, August 2018


Properties of Galaxy Dark Matter Halos from Weak Lensing
journal, May 2004

  • Hoekstra, Henk; Yee, H. K. C.; Gladders, Michael D.
  • The Astrophysical Journal, Vol. 606, Issue 1
  • DOI: 10.1086/382726

Matplotlib: A 2D Graphics Environment
journal, January 2007


Shear calibration biases in weak-lensing surveys
journal, August 2003


Intrinsic alignment-lensing interference as a contaminant of cosmic shear
journal, September 2004


Cosmological and astrophysical neutrino mass measurements
journal, November 2011


Constraints on intrinsic alignment contamination of weak lensing surveys using the MegaZ-LRG sample
journal, January 2011


Intrinsic and extrinsic galaxy alignment
journal, January 2001


Dark Energy Survey year 1 results: Galaxy-galaxy lensing
journal, August 2018


The NumPy Array: A Structure for Efficient Numerical Computation
journal, March 2011

  • van der Walt, Stéfan; Colbert, S. Chris; Varoquaux, Gaël
  • Computing in Science & Engineering, Vol. 13, Issue 2
  • DOI: 10.1109/MCSE.2011.37

Cosmology from cosmic shear power spectra with Subaru Hyper Suprime-Cam first-year data
journal, March 2019

  • Hikage, Chiaki; Oguri, Masamune; Hamana, Takashi
  • Publications of the Astronomical Society of Japan, Vol. 71, Issue 2
  • DOI: 10.1093/pasj/psz010

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

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

The Shear Testing Programme 2: Factors affecting high-precision weak-lensing analyses
journal, March 2007


Weak lensing magnification in the Dark Energy Survey Science Verification data
journal, February 2018

  • Garcia-Fernandez, M.; Sanchez, E.; Sevilla-Noarbe, I.
  • Monthly Notices of the Royal Astronomical Society, Vol. 476, Issue 1
  • DOI: 10.1093/mnras/sty282

Weak‐Lensing Surveys and the Intrinsic Correlation of Galaxy Ellipticities
journal, December 2000

  • Croft, Rupert A. C.; Metzler, Christopher A.
  • The Astrophysical Journal, Vol. 545, Issue 2
  • DOI: 10.1086/317856