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Title: Quantifying substructures in Hubble Frontier Field clusters: comparison with ΛCDM simulations

Abstract

The Hubble Frontier Fields (HFF) are six clusters of galaxies, all showing indications of recent mergers, which have recently been observed for lensed images. As such they are the natural laboratories to study the merging history of galaxy clusters. In this work, we explore the 2D power spectrum of the mass distribution $$P_{\rm M}(k)$$ as a measure of substructure. We compare $$P_{\rm M}(k)$$ of these clusters (obtained using strong gravitational lensing) to that of $$\Lambda$$CDM simulated clusters of similar mass. In order to compute lensing $$P_{\rm M}(k)$$, we produced free-form lensing mass reconstructions of HFF clusters, without any light traces mass (LTM) assumption. Moreover, the inferred power at small scales tends to be larger if (i)~the cluster is at lower redshift, and/or (ii)~there are deeper observations and hence more lensed images. In contrast, lens reconstructions assuming LTM show higher power at small scales even with fewer lensed images; it appears the small scale power in the LTM reconstructions is dominated by light information, rather than the lensing data. The average lensing derived $$P_{\rm M}(k)$$ shows lower power at small scales as compared to that of simulated clusters at redshift zero, both dark-matter only and hydrodynamical. The possible reasons are: (i)~the available strong lensing data are limited in their effective spatial resolution on the mass distribution, (ii)~HFF clusters have yet to build the small scale power they would have at $$z\sim 0$$, or (iii)~simulations are somehow overestimating the small scale power.

Authors:
 [1];  [2];  [3];  [4];  [3]
  1. Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States); Univ. of Zurich (Switzerland)
  2. Univ. of Zurich (Switzerland)
  3. Univ. of Minnesota, Minneapolis, MN (United States)
  4. Univ. of Hasselt (Belgium)
Publication Date:
Research Org.:
Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP)
OSTI Identifier:
1260265
Report Number(s):
FERMILAB-PUB-16-083-A; arXiv:1507.01532
Journal ID: ISSN 0035-8711; 1381500
Grant/Contract Number:  
AC02-07CH11359
Resource Type:
Accepted Manuscript
Journal Name:
Monthly Notices of the Royal Astronomical Society
Additional Journal Information:
Journal Volume: 459; Journal Issue: 2; Journal ID: ISSN 0035-8711
Publisher:
Royal Astronomical Society
Country of Publication:
United States
Language:
English
Subject:
79 ASTRONOMY AND ASTROPHYSICS; galaxies: clusters: individual: Abell 2744; galaxies: clusters: individual: Abell 370; galaxies: clusters: individual: Abell S1063; galaxies: clusters: individual: MACS J0416.1+2403; galaxies: clusters: individual: MACS J0717.5+3745; galaxies: clusters: individual: MACS J1149.5+2223

Citation Formats

Mohammed, Irshad, Saha, Prasenjit, Williams, Liliya L. R., Liesenborgs, Jori, and Sebesta, Kevin. Quantifying substructures in Hubble Frontier Field clusters: comparison with ΛCDM simulations. United States: N. p., 2016. Web. doi:10.1093/mnras/stw727.
Mohammed, Irshad, Saha, Prasenjit, Williams, Liliya L. R., Liesenborgs, Jori, & Sebesta, Kevin. Quantifying substructures in Hubble Frontier Field clusters: comparison with ΛCDM simulations. United States. https://doi.org/10.1093/mnras/stw727
Mohammed, Irshad, Saha, Prasenjit, Williams, Liliya L. R., Liesenborgs, Jori, and Sebesta, Kevin. Wed . "Quantifying substructures in Hubble Frontier Field clusters: comparison with ΛCDM simulations". United States. https://doi.org/10.1093/mnras/stw727. https://www.osti.gov/servlets/purl/1260265.
@article{osti_1260265,
title = {Quantifying substructures in Hubble Frontier Field clusters: comparison with ΛCDM simulations},
author = {Mohammed, Irshad and Saha, Prasenjit and Williams, Liliya L. R. and Liesenborgs, Jori and Sebesta, Kevin},
abstractNote = {The Hubble Frontier Fields (HFF) are six clusters of galaxies, all showing indications of recent mergers, which have recently been observed for lensed images. As such they are the natural laboratories to study the merging history of galaxy clusters. In this work, we explore the 2D power spectrum of the mass distribution $P_{\rm M}(k)$ as a measure of substructure. We compare $P_{\rm M}(k)$ of these clusters (obtained using strong gravitational lensing) to that of $\Lambda$CDM simulated clusters of similar mass. In order to compute lensing $P_{\rm M}(k)$, we produced free-form lensing mass reconstructions of HFF clusters, without any light traces mass (LTM) assumption. Moreover, the inferred power at small scales tends to be larger if (i)~the cluster is at lower redshift, and/or (ii)~there are deeper observations and hence more lensed images. In contrast, lens reconstructions assuming LTM show higher power at small scales even with fewer lensed images; it appears the small scale power in the LTM reconstructions is dominated by light information, rather than the lensing data. The average lensing derived $P_{\rm M}(k)$ shows lower power at small scales as compared to that of simulated clusters at redshift zero, both dark-matter only and hydrodynamical. The possible reasons are: (i)~the available strong lensing data are limited in their effective spatial resolution on the mass distribution, (ii)~HFF clusters have yet to build the small scale power they would have at $z\sim 0$, or (iii)~simulations are somehow overestimating the small scale power.},
doi = {10.1093/mnras/stw727},
journal = {Monthly Notices of the Royal Astronomical Society},
number = 2,
volume = 459,
place = {United States},
year = {Wed Apr 13 00:00:00 EDT 2016},
month = {Wed Apr 13 00:00:00 EDT 2016}
}

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Works referenced in this record:

Non-parametric reconstruction of cluster mass distribution from strong lensing: modelling Abell 370
journal, March 1998

  • AbdelSalam, Hanadi M.; Saha, Prasenjit; Williams, Liliya L. R.
  • Monthly Notices of the Royal Astronomical Society, Vol. 294, Issue 4
  • DOI: 10.1111/j.1365-8711.1998.01356.x

The formation of disc galaxies in a ΛCDM universe: The formation of disc galaxies
journal, October 2010


Resolving the discrepancy between X-ray and gravitational lensing mass measurements for clusters of galaxies
journal, May 1998


Scaling relations for galaxy clusters in the Millennium-XXL simulation: Scaling relations for clusters in the MXXL
journal, October 2012


NEW CONSTRAINTS ON THE FAINT END OF THE UV LUMINOSITY FUNCTION AT z ∼ 7-8 USING THE GRAVITATIONAL LENSING OF THE HUBBLE FRONTIER FIELDS CLUSTER A2744
journal, February 2015


Excursion set mass functions for hierarchical Gaussian fluctuations
journal, September 1991

  • Bond, J. R.; Cole, S.; Efstathiou, G.
  • The Astrophysical Journal, Vol. 379
  • DOI: 10.1086/170520

Internal dynamics of the radio halo cluster Abell 2744
journal, March 2006


Weak‐Lensing Mass Distributions for 24 X‐Ray Abell Clusters
journal, September 2004

  • Cypriano, Eduardo S.; Sodre, Jr., Laerte; Kneib, Jean‐Paul
  • The Astrophysical Journal, Vol. 613, Issue 1
  • DOI: 10.1086/422896

The X-ray brightest clusters of galaxies from the Massive Cluster Survey: The X-ray brightest MACS clusters
journal, June 2010


Irruption of massive particle species during inflation
journal, March 2015


The Argo simulation – I. Quenching of massive galaxies at high redshift as a result of cosmological starvation
journal, November 2014

  • Feldmann, Robert; Mayer, Lucio
  • Monthly Notices of the Royal Astronomical Society, Vol. 446, Issue 2
  • DOI: 10.1093/mnras/stu2207

The Argo simulation – II. The early build-up of the Hubble sequence
journal, November 2014

  • Fiacconi, Davide; Feldmann, Robert; Mayer, Lucio
  • Monthly Notices of the Royal Astronomical Society, Vol. 446, Issue 2
  • DOI: 10.1093/mnras/stu2228

Radio halo and relic candidates from the NRAO VLA Sky Survey
journal, March 1999


Evolution of the Internal Dynamics of Galaxy Clusters
journal, February 2001

  • Girardi, Marisa; Mezzetti, Marino
  • The Astrophysical Journal, Vol. 548, Issue 1
  • DOI: 10.1086/318665

A comparison of radio and X-ray morphologies of four clusters of galaxies containing radio halos
journal, April 2001


Normal Modes of Vibrations of the Universe
journal, October 1967


Constrained realizations of Gaussian fields - A simple algorithm
journal, October 1991

  • Hoffman, Yehuda; Ribak, Erez
  • The Astrophysical Journal, Vol. 380
  • DOI: 10.1086/186160

Hubble Frontier Fields: the geometry and dynamics of the massive galaxy cluster merger MACSJ0416.1-2403
journal, December 2014

  • Jauzac, M.; Jullo, E.; Eckert, D.
  • Monthly Notices of the Royal Astronomical Society, Vol. 446, Issue 4
  • DOI: 10.1093/mnras/stu2425

Hubble Frontier Fields : a high-precision strong-lensing analysis of the massive galaxy cluster Abell 2744 using ∼180 multiple images
journal, July 2015

  • Jauzac, M.; Richard, J.; Jullo, E.
  • Monthly Notices of the Royal Astronomical Society, Vol. 452, Issue 2
  • DOI: 10.1093/mnras/stv1402

Lens Models and Magnification maps of the six Hubble Frontier Fields Clusters
journal, November 2014

  • Johnson, Traci L.; Sharon, Keren; Bayliss, Matthew B.
  • The Astrophysical Journal, Vol. 797, Issue 1
  • DOI: 10.1088/0004-637X/797/1/48

A Bayesian approach to strong lensing modelling of galaxy clusters
journal, December 2007


Multiple images of a highly magnified supernova formed by an early-type cluster galaxy lens
journal, March 2015


A Chandra view of the multiple merger in Abell 2744
journal, April 2004


Dark Matter Halos in the Standard Cosmological Model: Results from the Bolshoi Simulation
journal, October 2011

  • Klypin, Anatoly A.; Trujillo-Gomez, Sebastian; Primack, Joel
  • The Astrophysical Journal, Vol. 740, Issue 2
  • DOI: 10.1088/0004-637X/740/2/102

A Rigorous Free-Form lens Model of A2744 to meet the Hubble Frontier Fields Challenge
journal, December 2014


Non-parametric inversion of gravitational lensing systems with few images using a multi-objective genetic algorithm
journal, September 2007


Non-parametric strong lens inversion of Cl 0024+1654: illustrating the monopole degeneracy
journal, September 2008


Non-parametric strong lens inversion of SDSS J1004+4112
journal, July 2009


Strong lensing by a node of the cosmic web: The core of MACS J0717.5+3745 at
journal, July 2012


X-ray-optical classification of cluster mergers and the evolution of the cluster merger fraction: Cluster classification and evolution
journal, January 2012


The formation of disc galaxies in high-resolution moving-mesh cosmological simulations
journal, November 2013

  • Marinacci, Federico; Pakmor, Rüdiger; Springel, Volker
  • Monthly Notices of the Royal Astronomical Society, Vol. 437, Issue 2
  • DOI: 10.1093/mnras/stt2003

The biasing of baryons on the cluster mass function and cosmological parameter estimation
journal, April 2014

  • Martizzi, Davide; Mohammed, Irshad; Teyssier, Romain
  • Monthly Notices of the Royal Astronomical Society, Vol. 440, Issue 3
  • DOI: 10.1093/mnras/stu440

The behaviour of dark matter associated with four bright cluster galaxies in the 10 kpc core of Abell 3827
journal, April 2015

  • Massey, Richard; Williams, Liliya; Smit, Renske
  • Monthly Notices of the Royal Astronomical Society, Vol. 449, Issue 4
  • DOI: 10.1093/mnras/stv467

Clash: Complete Lensing Analysis of the Largest Cosmic lens macs J0717.5+3745 and Surrounding Structures
journal, October 2013


Creation of cosmic structure in the complex galaxy cluster merger Abell 2744: The galaxy cluster merger Abell 2744
journal, September 2011


Mass-galaxy offsets in Abell 3827, 2218 and 1689: intrinsic properties or line-of-sight substructures?
journal, February 2014

  • Mohammed, I.; Liesenborgs, J.; Saha, P.
  • Monthly Notices of the Royal Astronomical Society, Vol. 439, Issue 3
  • DOI: 10.1093/mnras/stu124

Lensing time delays as a substructure constraint: a case study with the cluster SDSS J1004+4112
journal, March 2015

  • Mohammed, Irshad; Saha, Prasenjit; Liesenborgs, Jori
  • Publications of the Astronomical Society of Japan, Vol. 67, Issue 2
  • DOI: 10.1093/pasj/psu155

Abundance of Substructure in Clusters of Galaxies
journal, November 2004

  • Natarajan, Priyamvada; Springel, Volker
  • The Astrophysical Journal, Vol. 617, Issue 1
  • DOI: 10.1086/427079

Substructure in lensing clusters and simulations
journal, March 2007

  • Natarajan, Priyamvada; De Lucia, Gabriella; Springel, Volker
  • Monthly Notices of the Royal Astronomical Society, Vol. 376, Issue 1
  • DOI: 10.1111/j.1365-2966.2007.11399.x

The Density Profiles of Massive, Relaxed Galaxy Clusters. i. the Total Density over Three Decades in Radius
journal, February 2013

  • Newman, Andrew B.; Treu, Tommaso; Ellis, Richard S.
  • The Astrophysical Journal, Vol. 765, Issue 1
  • DOI: 10.1088/0004-637X/765/1/24

The Density Profiles of Massive, Relaxed Galaxy Clusters. ii. Separating Luminous and dark Matter in Cluster Cores
journal, February 2013

  • Newman, Andrew B.; Treu, Tommaso; Ellis, Richard S.
  • The Astrophysical Journal, Vol. 765, Issue 1
  • DOI: 10.1088/0004-637X/765/1/25

FRONTIER FIELDS CLUSTERS: CHANDRA AND JVLA VIEW OF THE PRE-MERGING CLUSTER MACS J0416.1-2403
journal, October 2015


The Dissection of Abell 2744: a rich Cluster Growing Through Major and Minor Mergers
journal, January 2011

  • Owers, Matt S.; Randall, Scott W.; Nulsen, Paul E. J.
  • The Astrophysical Journal, Vol. 728, Issue 1
  • DOI: 10.1088/0004-637X/728/1/27

The Cluster Lensing and Supernova Survey with Hubble: an Overview
journal, March 2012

  • Postman, Marc; Coe, Dan; Benítez, Narciso
  • The Astrophysical Journal Supplement Series, Vol. 199, Issue 2
  • DOI: 10.1088/0067-0049/199/2/25

Formation of Galaxies and Clusters of Galaxies by Self-Similar Gravitational Condensation
journal, February 1974

  • Press, William H.; Schechter, Paul
  • The Astrophysical Journal, Vol. 187
  • DOI: 10.1086/152650

Lensing model of MACS J1149.5+2223 – I. Cluster mass reconstruction
journal, July 2014

  • Rau, S.; Vegetti, S.; White, S. D. M.
  • Monthly Notices of the Royal Astronomical Society, Vol. 443, Issue 2
  • DOI: 10.1093/mnras/stu1189

High-Resolution cmb Power Spectrum from the Complete Acbar data set
journal, March 2009


Abell 370 revisited: refurbished Hubble imaging of the first strong lensing cluster: Strong-lensing analysis of Abell 370
journal, December 2009


Mass and magnification maps for the Hubble Space Telescope Frontier Fields clusters: implications for high-redshift studies
journal, August 2014

  • Richard, Johan; Jauzac, Mathilde; Limousin, Marceau
  • Monthly Notices of the Royal Astronomical Society, Vol. 444, Issue 1
  • DOI: 10.1093/mnras/stu1395

ILLUMINATING A DARK LENS: A TYPE Ia SUPERNOVA MAGNIFIED BY THE FRONTIER FIELDS GALAXY CLUSTER ABELL 2744
journal, September 2015


The EAGLE project: simulating the evolution and assembly of galaxies and their environments
journal, November 2014

  • Schaye, Joop; Crain, Robert A.; Bower, Richard G.
  • Monthly Notices of the Royal Astronomical Society, Vol. 446, Issue 1
  • DOI: 10.1093/mnras/stu2058

The proper vibrations of the expanding universe
journal, July 1939


Analytic model for galaxy and dark matter clustering
journal, October 2000


Revised lens Model for the Multiply Imaged Lensed Supernova, “sn Refsdal” in macs J1149+2223
journal, February 2015


Cosmic Black-Body Radiation and Galaxy Formation
journal, January 1968

  • Silk, Joseph
  • The Astrophysical Journal, Vol. 151
  • DOI: 10.1086/149449

A Comparison of Direct and Indirect Mass Estimates for Distant Clusters of Galaxies
journal, April 1997

  • Smail, Ian; Ellis, Richard S.; Dressler, Alan
  • The Astrophysical Journal, Vol. 479, Issue 1
  • DOI: 10.1086/303844

HUBBLE SPACE TELESCOPE OBSERVATIONS OF A SPECTACULAR NEW STRONG-LENSING GALAXY CLUSTER: MACS J1149.5+2223 AT z = 0.544
journal, December 2009


Cosmological hydrodynamics with adaptive mesh refinement: A new high resolution code called RAMSES
journal, April 2002


A FIRST SITE OF GALAXY CLUSTER FORMATION: COMPLETE SPECTROSCOPY OF A PROTOCLUSTER AT z = 6.01
journal, August 2014

  • Toshikawa, Jun; Kashikawa, Nobunari; Overzier, Roderik
  • The Astrophysical Journal, Vol. 792, Issue 1
  • DOI: 10.1088/0004-637X/792/1/15

A model for cosmological simulations of galaxy formation physics
journal, October 2013

  • Vogelsberger, Mark; Genel, Shy; Sijacki, Debora
  • Monthly Notices of the Royal Astronomical Society, Vol. 436, Issue 4
  • DOI: 10.1093/mnras/stt1789

Properties of galaxies reproduced by a hydrodynamic simulation
journal, May 2014

  • Vogelsberger, M.; Genel, S.; Springel, V.
  • Nature, Vol. 509, Issue 7499
  • DOI: 10.1038/nature13316

Light/mass offsets in the lensing cluster Abell 3827: evidence for collisional dark matter?: Light/mass offsets in Abell 3827
journal, April 2011


Discovery of the Largest Known Lensed Images Formed by a Critically Convergent Lensing Cluster
journal, September 2009


Strong-lensing analysis of a complete sample of 12 MACS clusters at z > 0.5: mass models and Einstein radii: Mass models of 12 z > 0.5 MACS clusters
journal, October 2010


Clash: the Enhanced Lensing Efficiency of the Highly Elongated Merging Cluster macs J0416.1–2403
journal, December 2012


HUBBLE SPACE TELESCOPE COMBINED STRONG AND WEAK LENSING ANALYSIS OF THE CLASH SAMPLE: MASS AND MAGNIFICATION MODELS AND SYSTEMATIC UNCERTAINTIES
journal, March 2015


Works referencing / citing this record:

From the core to the outskirts: structure analysis of three massive galaxy clusters
journal, May 2017


The Frontier Fields lens modelling comparison project
journal, August 2017

  • Meneghetti, M.; Natarajan, P.; Coe, D.
  • Monthly Notices of the Royal Astronomical Society, Vol. 472, Issue 3
  • DOI: 10.1093/mnras/stx2064

Thermodynamic profiles of galaxy clusters from a joint X-ray/SZ analysis
journal, August 2018

  • Shitanishi, Jennifer A.; Pierpaoli, Elena; Sayers, Jack
  • Monthly Notices of the Royal Astronomical Society, Vol. 481, Issue 1
  • DOI: 10.1093/mnras/sty2195

The Frontier Fields: Survey Design and Initial Results
journal, March 2017


Mass Modeling of Frontier Fields Cluster MACS J1149.5+2223 Using Strong and Weak Lensing
journal, May 2018

  • Finney, Emily Quinn; Bradač, Maruša; Huang, Kuang-Han
  • The Astrophysical Journal, Vol. 859, Issue 1
  • DOI: 10.3847/1538-4357/aabf97

The Frontier Fields Lens Modeling Comparison Project
text, January 2016


Mass Modeling of Frontier Fields Cluster MACS J1149.5+2223 Using Strong and Weak Lensing
text, January 2018