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Title: Correlations between triaxial shapes and formation history of dark matter haloes

Abstract

ABSTRACT The shape of dark matter (DM) haloes plays a critical role in constraining cosmology with upcoming large-scale structure surveys. In this paper, we study the correlations between the triaxial shapes and formation histories in DM haloes in the MultiDark Planck 2 N-body cosmological simulation. We find that halo ellipticity is strongly correlated with halo properties that serve as proxies of halo formation history, such as halo concentration and the normalized peak-centroid offset. These correlations are nearly independent of the halo density peak height. We present a simple model for the correlation between halo ellipticity and concentration using conditional abundance matching, and provide fitting formulae for the multidimensional distributions of triaxial halo shape as a function of halo peak height. We apply our halo shape model to gauge the effects of halo ellipticity and orientation bias on the excess surface mass density profiles in cluster-sized haloes. Our model should be useful for exploring the impact of triaxial halo shape on cosmological constraints in upcoming weak lensing surveys of galaxy clusters.

Authors:
ORCiD logo [1];  [2]; ORCiD logo [3];  [1]
  1. Department of Physics, University of Miami, Coral Gables, FL 33124, USA
  2. Argonne National Lab, Lemont, IL 60439, USA
  3. Department of Physics, Yale University, New Haven, CT 06520, USA, Department of Astronomy, Yale University, New Haven, CT 06520, USA
Publication Date:
Research Org.:
Argonne National Lab. (ANL), Argonne, IL (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP); National Science Foundation (NSF)
OSTI Identifier:
1734398
Alternate Identifier(s):
OSTI ID: 1812215
Grant/Contract Number:  
AC02-06CH11357; AST-1412768
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: 500 Journal Issue: 1; Journal ID: ISSN 0035-8711
Publisher:
Oxford University Press
Country of Publication:
United Kingdom
Language:
English
Subject:
79 ASTRONOMY AND ASTROPHYSICS; large-scale structure of Universe; cosmology; dark matter; galaxies: clusters: general; galaxies: groups: general; methods: numerical; theory

Citation Formats

Lau, Erwin T., Hearin, Andrew P., Nagai, Daisuke, and Cappelluti, Nico. Correlations between triaxial shapes and formation history of dark matter haloes. United Kingdom: N. p., 2020. Web. doi:10.1093/mnras/staa3313.
Lau, Erwin T., Hearin, Andrew P., Nagai, Daisuke, & Cappelluti, Nico. Correlations between triaxial shapes and formation history of dark matter haloes. United Kingdom. https://doi.org/10.1093/mnras/staa3313
Lau, Erwin T., Hearin, Andrew P., Nagai, Daisuke, and Cappelluti, Nico. Tue . "Correlations between triaxial shapes and formation history of dark matter haloes". United Kingdom. https://doi.org/10.1093/mnras/staa3313.
@article{osti_1734398,
title = {Correlations between triaxial shapes and formation history of dark matter haloes},
author = {Lau, Erwin T. and Hearin, Andrew P. and Nagai, Daisuke and Cappelluti, Nico},
abstractNote = {ABSTRACT The shape of dark matter (DM) haloes plays a critical role in constraining cosmology with upcoming large-scale structure surveys. In this paper, we study the correlations between the triaxial shapes and formation histories in DM haloes in the MultiDark Planck 2 N-body cosmological simulation. We find that halo ellipticity is strongly correlated with halo properties that serve as proxies of halo formation history, such as halo concentration and the normalized peak-centroid offset. These correlations are nearly independent of the halo density peak height. We present a simple model for the correlation between halo ellipticity and concentration using conditional abundance matching, and provide fitting formulae for the multidimensional distributions of triaxial halo shape as a function of halo peak height. We apply our halo shape model to gauge the effects of halo ellipticity and orientation bias on the excess surface mass density profiles in cluster-sized haloes. Our model should be useful for exploring the impact of triaxial halo shape on cosmological constraints in upcoming weak lensing surveys of galaxy clusters.},
doi = {10.1093/mnras/staa3313},
journal = {Monthly Notices of the Royal Astronomical Society},
number = 1,
volume = 500,
place = {United Kingdom},
year = {Tue Aug 11 00:00:00 EDT 2020},
month = {Tue Aug 11 00:00:00 EDT 2020}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1093/mnras/staa3313

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Works referenced in this record:

Internal properties and environments of dark matter haloes: Haloes and the environment
journal, March 2011


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

Strong orientation dependence of surface mass density profiles of dark haloes at large scales
journal, March 2018

  • Osato, Ken; Nishimichi, Takahiro; Oguri, Masamune
  • Monthly Notices of the Royal Astronomical Society, Vol. 477, Issue 2
  • DOI: 10.1093/mnras/sty762

The Structure of Cold Dark Matter Halos
journal, May 1996

  • Navarro, Julio F.; Frenk, Carlos S.; White, Simon D. M.
  • The Astrophysical Journal, Vol. 462
  • DOI: 10.1086/177173

Imprints of mass accretion history on the shape of the intracluster medium and the TX–M relation
journal, October 2019

  • Chen, Huanqing; Avestruz, Camille; Kravtsov, Andrey V.
  • Monthly Notices of the Royal Astronomical Society, Vol. 490, Issue 2
  • DOI: 10.1093/mnras/stz2776

Universality of dark matter haloes shape over six decades in mass: insights from the Millennium XXL and SBARBINE simulations
journal, April 2015

  • Bonamigo, Mario; Despali, Giulia; Limousin, Marceau
  • Monthly Notices of the Royal Astronomical Society, Vol. 449, Issue 3
  • DOI: 10.1093/mnras/stv417

The impact of baryons on the spins and shapes of dark matter haloes
journal, January 2013

  • Bryan, S. E.; Kay, S. T.; Duffy, A. R.
  • Monthly Notices of the Royal Astronomical Society, Vol. 429, Issue 4
  • DOI: 10.1093/mnras/sts587

The impact of filamentary accretion of subhaloes on the shape and orientation of haloes
journal, May 2020

  • Morinaga, Yu; Ishiyama, Tomoaki
  • Monthly Notices of the Royal Astronomical Society, Vol. 495, Issue 1
  • DOI: 10.1093/mnras/staa1180

Halo and subhalo demographics with Planck cosmological parameters: Bolshoi–Planck and MultiDark–Planck simulations
journal, July 2016

  • Rodríguez-Puebla, Aldo; Behroozi, Peter; Primack, Joel
  • Monthly Notices of the Royal Astronomical Society, Vol. 462, Issue 1
  • DOI: 10.1093/mnras/stw1705

On the Cluster Physics of Sunyaev-Zel'Dovich and X-Ray Surveys. ii. Deconstructing the Thermal sz Power Spectrum
journal, September 2012


Generating synthetic cosmological data with GalSampler
journal, June 2020

  • Hearin, Andrew; Korytov, Danila; Kovacs, Eve
  • Monthly Notices of the Royal Astronomical Society, Vol. 495, Issue 4
  • DOI: 10.1093/mnras/staa1495

Core condensation in heavy halos: a two-stage theory for galaxy formation and clustering
journal, July 1978

  • White, S. D. M.; Rees, M. J.
  • Monthly Notices of the Royal Astronomical Society, Vol. 183, Issue 3
  • DOI: 10.1093/mnras/183.3.341

Forward Modeling of Large-scale Structure: An Open-source Approach with Halotools
journal, October 2017

  • Hearin, Andrew P.; Campbell, Duncan; Tollerud, Erik
  • The Astronomical Journal, Vol. 154, Issue 5
  • DOI: 10.3847/1538-3881/aa859f

The effects of ellipticity and substructure on estimates of cluster density profiles based on lensing and kinematics
journal, September 2007

  • Meneghetti, Massimo; Bartelmann, Matthias; Jenkins, Adrian
  • Monthly Notices of the Royal Astronomical Society, Vol. 381, Issue 1
  • DOI: 10.1111/j.1365-2966.2007.12225.x

Projected axis ratios of galaxy clusters in the Horizon-AGN simulation: Impact of baryon physics and comparison with observations
journal, December 2016

  • Suto, Daichi; Peirani, Sébastien; Dubois, Yohan
  • Publications of the Astronomical Society of Japan, Vol. 69, Issue 1
  • DOI: 10.1093/pasj/psw118

On the shape of dark matter haloes from MultiDark Planck simulations
journal, February 2017

  • Vega-Ferrero, Jesús; Yepes, Gustavo; Gottlöber, Stefan
  • Monthly Notices of the Royal Astronomical Society, Vol. 467, Issue 3
  • DOI: 10.1093/mnras/stx282

Concentration, spin and shape of dark matter haloes: scatter and the dependence on mass and environment
journal, June 2007


Halo Properties in Cosmological Simulations of Self‐interacting Cold Dark Matter
journal, February 2001

  • Dave, Romeel; Spergel, David N.; Steinhardt, Paul J.
  • The Astrophysical Journal, Vol. 547, Issue 2
  • DOI: 10.1086/318417

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


Spherically averaging ellipsoidal galaxy clusters in X-ray and Sunyaev-Zel’dovich studies - II. Biases
journal, January 2012


FastPM: a new scheme for fast simulations of dark matter and haloes
journal, August 2016

  • Feng, Yu; Chu, Man-Yat; Seljak, Uroš
  • Monthly Notices of the Royal Astronomical Society, Vol. 463, Issue 3
  • DOI: 10.1093/mnras/stw2123

Properties of dark matter haloes and their correlations: the lesson from principal component analysis: Properties of DM haloes
journal, July 2011


Evolution and statistics of non-sphericity of dark matter halos from cosmological N -body simulation
journal, October 2016

  • Suto, Daichi; Kitayama, Tetsu; Nishimichi, Takahiro
  • Publications of the Astronomical Society of Japan, Vol. 68, Issue 6
  • DOI: 10.1093/pasj/psw088

ICE-COLA: towards fast and accurate synthetic galaxy catalogues optimizing a quasi- N -body method
journal, April 2016

  • Izard, Albert; Crocce, Martin; Fosalba, Pablo
  • Monthly Notices of the Royal Astronomical Society, Vol. 459, Issue 3
  • DOI: 10.1093/mnras/stw797

Shapes and Alignments of Galaxy Cluster Halos
journal, August 2005

  • Kasun, S. F.; Evrard, A. E.
  • The Astrophysical Journal, Vol. 629, Issue 2
  • DOI: 10.1086/430811

Formation of galaxies and large-scale structure with cold dark matter
journal, October 1984

  • Blumenthal, George R.; Faber, S. M.; Primack, Joel R.
  • Nature, Vol. 311, Issue 5986
  • DOI: 10.1038/311517a0

A look into the inside of haloes: a characterization of the halo shape as a function of overdensity in the Planck cosmology
journal, December 2016

  • Despali, Giulia; Giocoli, Carlo; Bonamigo, Mario
  • Monthly Notices of the Royal Astronomical Society, Vol. 466, Issue 1
  • DOI: 10.1093/mnras/stw3129

Constraining Cluster Physics with the Shape of X-Ray Clusters: Comparison of Local X-Ray Clusters Versus Λcdm Clusters
journal, August 2012


The relative impact of baryons and cluster shape on weak lensing mass estimates of galaxy clusters
journal, May 2018

  • Lee, B. E.; Le Brun, A. M. C.; Haq, M. E.
  • Monthly Notices of the Royal Astronomical Society
  • DOI: 10.1093/mnras/sty1377

Some like it triaxial: the universality of dark matter halo shapes and their evolution along the cosmic time
journal, August 2014

  • Despali, Giulia; Giocoli, Carlo; Tormen, Giuseppe
  • Monthly Notices of the Royal Astronomical Society, Vol. 443, Issue 4
  • DOI: 10.1093/mnras/stu1393

Astropy: A community Python package for astronomy
journal, September 2013


Spatial structure of perturbations and origin of galactic rotation in fluctuation theory
journal, January 1973


SciPy 1.0: fundamental algorithms for scientific computing in Python
journal, February 2020


Orientation bias of optically selected galaxy clusters and its impact on stacked weak-lensing analyses
journal, July 2014

  • Dietrich, Jörg P.; Zhang, Yuanyuan; Song, Jeeseon
  • Monthly Notices of the Royal Astronomical Society, Vol. 443, Issue 2
  • DOI: 10.1093/mnras/stu1282

Relating the Structure of Dark Matter Halos to Their Assembly and Environment
journal, August 2020


COLOSSUS: A Python Toolkit for Cosmology, Large-scale Structure, and Dark Matter Halos
journal, December 2018


Anisotropic halo model: implementation and numerical results
journal, May 2013

  • Sgró, Mario A.; Paz, Dante J.; Merchán, Manuel
  • Monthly Notices of the Royal Astronomical Society, Vol. 433, Issue 1
  • DOI: 10.1093/mnras/stt773

MultiDark simulations: the story of dark matter halo concentrations and density profiles
journal, February 2016

  • Klypin, Anatoly; Yepes, Gustavo; Gottlöber, Stefan
  • Monthly Notices of the Royal Astronomical Society, Vol. 457, Issue 4
  • DOI: 10.1093/mnras/stw248

The shape of dark matter haloes: dependence on mass, redshift, radius and formation
journal, April 2006


The Projected Dark and Baryonic Ellipsoidal Structure of 20 CLASH Galaxy Clusters
journal, June 2018

  • Umetsu, Keiichi; Sereno, Mauro; Tam, Sut-Ieng
  • The Astrophysical Journal, Vol. 860, Issue 2
  • DOI: 10.3847/1538-4357/aac3d9

The shapes and alignments of dark matter halos
journal, May 2012

  • Schneider, Michael D.; Frenk, Carlos S.; Cole, Shaun
  • Journal of Cosmology and Astroparticle Physics, Vol. 2012, Issue 05
  • DOI: 10.1088/1475-7516/2012/05/030

Cluster Ellipticities as a Cosmological Probe
journal, August 2006

  • Ho, Shirley; Bahcall, Neta; Bode, Paul
  • The Astrophysical Journal, Vol. 647, Issue 1
  • DOI: 10.1086/505255

Scatter and bias in weak lensing selected clusters: Scatter and bias in weak lensing clusters
journal, August 2012

  • Hamana, Takashi; Oguri, Masamune; Shirasaki, Masato
  • Monthly Notices of the Royal Astronomical Society, Vol. 425, Issue 3
  • DOI: 10.1111/j.1365-2966.2012.21582.x

CLUMP-3D: Testing ΛCDM with Galaxy Cluster Shapes
journal, June 2018

  • Sereno, Mauro; Umetsu, Keiichi; Ettori, Stefano
  • The Astrophysical Journal, Vol. 860, Issue 1
  • DOI: 10.3847/2041-8213/aac6d9

The dark side of galaxy colour: evidence from new SDSS measurements of galaxy clustering and lensing
journal, August 2014

  • Hearin, Andrew P.; Watson, Douglas F.; Becker, Matthew R.
  • Monthly Notices of the Royal Astronomical Society, Vol. 444, Issue 1
  • DOI: 10.1093/mnras/stu1443

The Effect of Gas Cooling on the Shapes of Dark Matter Halos
journal, July 2004

  • Kazantzidis, Stelios; Kravtsov, Andrey V.; Zentner, Andrew R.
  • The Astrophysical Journal, Vol. 611, Issue 2
  • DOI: 10.1086/423992

Testing Hydrostatic Equilibrium in Galaxy Cluster ms 2137
journal, August 2012


Planck 2018 results: VI. Cosmological parameters
journal, September 2020


Weakly Self-interacting Dark Matter and the Structure of Dark Halos
journal, December 2000

  • Yoshida, Naoki; Springel, Volker; White, Simon D. M.
  • The Astrophysical Journal, Vol. 544, Issue 2
  • DOI: 10.1086/317306

Gravitationally Consistent halo Catalogs and Merger Trees for Precision Cosmology
journal, December 2012


Modelling colour-dependent galaxy clustering in cosmological simulations
journal, October 2013

  • Masaki, Shogo; Lin, Yen-Ting; Yoshida, Naoki
  • Monthly Notices of the Royal Astronomical Society, Vol. 436, Issue 3
  • DOI: 10.1093/mnras/stt1729

The Rockstar Phase-Space Temporal halo Finder and the Velocity Offsets of Cluster Cores
journal, December 2012


The correlation structure of dark matter halo properties: Correlations of dark matter halo properties
journal, June 2011

  • Jeeson-Daniel, Akila; Vecchia, Claudio Dalla; Haas, Marcel R.
  • Monthly Notices of the Royal Astronomical Society: Letters, Vol. 415, Issue 1
  • DOI: 10.1111/j.1745-3933.2011.01081.x

THE AXIS RATIO DISTRIBUTION OF X-RAY CLUSTERS OBSERVED BY XMM-NEWTON
journal, August 2010


Triaxial Modeling of Halo Density Profiles with High‐Resolution N ‐Body Simulations
journal, August 2002

  • Jing, Y. P.; Suto, Yasushi
  • The Astrophysical Journal, Vol. 574, Issue 2
  • DOI: 10.1086/341065

Cosmological Parameters from Observations of Galaxy Clusters
journal, September 2011


Cosmological simulations with self-interacting dark matter – II. Halo shapes versus observations
journal, January 2013

  • Peter, Annika H. G.; Rocha, Miguel; Bullock, James S.
  • Monthly Notices of the Royal Astronomical Society, Vol. 430, Issue 1
  • DOI: 10.1093/mnras/sts535

Impact of baryon physics on dark matter structures: a detailed simulation study of halo density profiles: Baryonic back-reaction
journal, April 2010


Matplotlib: A 2D Graphics Environment
journal, January 2007


Observational Evidence for Self-Interacting Cold Dark Matter
journal, April 2000


Shape of dark matter haloes in the Illustris simulation: effects of baryons
journal, January 2019

  • Chua, Kun Ting Eddie; Pillepich, Annalisa; Vogelsberger, Mark
  • Monthly Notices of the Royal Astronomical Society, Vol. 484, Issue 1
  • DOI: 10.1093/mnras/sty3531

An accurate tool for the fast generation of dark matter halo catalogues
journal, June 2013

  • Monaco, P.; Sefusatti, E.; Borgani, S.
  • Monthly Notices of the Royal Astronomical Society, Vol. 433, Issue 3
  • DOI: 10.1093/mnras/stt907

Triaxial haloes, intrinsic alignments and the dark matter power spectrum
journal, June 2005


The dark side of galaxy colour
journal, September 2013

  • Hearin, Andrew P.; Watson, Douglas F.
  • Monthly Notices of the Royal Astronomical Society, Vol. 435, Issue 2
  • DOI: 10.1093/mnras/stt1374

Weighing simulated galaxy clusters using lensing and X-ray
journal, May 2010


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