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

Title: Quantifying the line-of-sight halo contribution to the dark matter convergence power spectrum from strong gravitational lenses

Abstract

Galaxy-galaxy strong gravitational lenses have become a popular probe of dark matter (DM) by providing a window into structure formation on the smallest scales. In particular, the convergence power spectrum of subhalos within lensing galaxies has been suggested as a promising observable to study DM. However, the distances involved in strong-lensing systems are vast, and we expect the relevant volume to contain line-of-sight (LOS) halos that are not associated with the main lens. We develop a formalism to calculate the effect of LOS halos as an effective convergence power spectrum. Here, the multilens plane equation couples the angular deflections of consecutive lens planes, but by assuming that the perturbations due to the LOS halos are small, we show that they can be projected onto the main-lens plane as effective subhalos. We test our formalism by simulating lensing systems using the full multiplane lens equation and find excellent agreement. We show how the relative contribution of LOS halos and subhalos depends on the source and lens redshift, as well as the assumed halo and subhalo mass functions. For a fiducial system with fraction of DM halo mass in substructure fsub = 0.4% for subhalo masses [105–108]M⊙, the interloper contribution to themore » power spectrum is at least several times greater than that of subhalos for source redshifts zs ≳ 0.5. Furthermore, it is likely that for the SLACS and BELLS lenses the interloper contribution dominates: fsub ≳ 2% (4%) is needed for subhalos to dominate in SLACS (BELLS), which is higher than current upper bounds on fsub for our mass range. Since the halo mass function is better understood from first principles, the dominance of interlopers in galaxy-galaxy lenses with high-quality imaging can be seen as a significant advantage when translating this observable into a constraint on DM.« less

Authors:
ORCiD logo [1]; ORCiD logo [1]; ORCiD logo [1];  [1]; ORCiD logo [2];  [2]
  1. Harvard Univ., Cambridge, MA (United States)
  2. Univ. of California, Berkeley, CA (United States)
Publication Date:
Research Org.:
Harvard Univ., Cambridge, MA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1774906
Alternate Identifier(s):
OSTI ID: 1906357
Grant/Contract Number:  
SC0020223
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review. D.
Additional Journal Information:
Journal Volume: 102; Journal Issue: 6; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
79 ASTRONOMY AND ASTROPHYSICS; Dark matter; Gravitational lenses; Particle dark matter

Citation Formats

Şengül, Atınç Çaǧan, Tsang, Arthur, Rivero, Ana Diaz, Dvorkin, Cora, Zhu, Hong-Ming, and Seljak, Uroš. Quantifying the line-of-sight halo contribution to the dark matter convergence power spectrum from strong gravitational lenses. United States: N. p., 2020. Web. doi:10.1103/physrevd.102.063502.
Şengül, Atınç Çaǧan, Tsang, Arthur, Rivero, Ana Diaz, Dvorkin, Cora, Zhu, Hong-Ming, & Seljak, Uroš. Quantifying the line-of-sight halo contribution to the dark matter convergence power spectrum from strong gravitational lenses. United States. https://doi.org/10.1103/physrevd.102.063502
Şengül, Atınç Çaǧan, Tsang, Arthur, Rivero, Ana Diaz, Dvorkin, Cora, Zhu, Hong-Ming, and Seljak, Uroš. Thu . "Quantifying the line-of-sight halo contribution to the dark matter convergence power spectrum from strong gravitational lenses". United States. https://doi.org/10.1103/physrevd.102.063502. https://www.osti.gov/servlets/purl/1774906.
@article{osti_1774906,
title = {Quantifying the line-of-sight halo contribution to the dark matter convergence power spectrum from strong gravitational lenses},
author = {Şengül, Atınç Çaǧan and Tsang, Arthur and Rivero, Ana Diaz and Dvorkin, Cora and Zhu, Hong-Ming and Seljak, Uroš},
abstractNote = {Galaxy-galaxy strong gravitational lenses have become a popular probe of dark matter (DM) by providing a window into structure formation on the smallest scales. In particular, the convergence power spectrum of subhalos within lensing galaxies has been suggested as a promising observable to study DM. However, the distances involved in strong-lensing systems are vast, and we expect the relevant volume to contain line-of-sight (LOS) halos that are not associated with the main lens. We develop a formalism to calculate the effect of LOS halos as an effective convergence power spectrum. Here, the multilens plane equation couples the angular deflections of consecutive lens planes, but by assuming that the perturbations due to the LOS halos are small, we show that they can be projected onto the main-lens plane as effective subhalos. We test our formalism by simulating lensing systems using the full multiplane lens equation and find excellent agreement. We show how the relative contribution of LOS halos and subhalos depends on the source and lens redshift, as well as the assumed halo and subhalo mass functions. For a fiducial system with fraction of DM halo mass in substructure fsub = 0.4% for subhalo masses [105–108]M⊙, the interloper contribution to the power spectrum is at least several times greater than that of subhalos for source redshifts zs ≳ 0.5. Furthermore, it is likely that for the SLACS and BELLS lenses the interloper contribution dominates: fsub ≳ 2% (4%) is needed for subhalos to dominate in SLACS (BELLS), which is higher than current upper bounds on fsub for our mass range. Since the halo mass function is better understood from first principles, the dominance of interlopers in galaxy-galaxy lenses with high-quality imaging can be seen as a significant advantage when translating this observable into a constraint on DM.},
doi = {10.1103/physrevd.102.063502},
journal = {Physical Review. D.},
number = 6,
volume = 102,
place = {United States},
year = {Thu Sep 10 00:00:00 EDT 2020},
month = {Thu Sep 10 00:00:00 EDT 2020}
}

Works referenced in this record:

Projection effects in the strong lensing study of subhaloes
journal, March 2017

  • Li, Ran; Frenk, Carlos S.; Cole, Shaun
  • Monthly Notices of the Royal Astronomical Society, Vol. 468, Issue 2
  • DOI: 10.1093/mnras/stx554

The APOSTLE simulations: solutions to the Local Group's cosmic puzzles
journal, February 2016

  • Sawala, Till; Frenk, Carlos S.; Fattahi, Azadeh
  • Monthly Notices of the Royal Astronomical Society, Vol. 457, Issue 2
  • DOI: 10.1093/mnras/stw145

Cosmography with cluster strong lenses: the influence of substructure and line-of-sight haloes: Cosmography with cluster strong lenses
journal, December 2010


Not so lumpy after all: modelling the depletion of dark matter subhaloes by Milky Way-like galaxies 
journal, July 2017

  • Garrison-Kimmel, Shea; Wetzel, Andrew; Bullock, James S.
  • Monthly Notices of the Royal Astronomical Society, Vol. 471, Issue 2
  • DOI: 10.1093/mnras/stx1710

Power spectrum of dark matter substructure in strong gravitational lenses
journal, January 2018


fire in the field: simulating the threshold of galaxy formation
journal, July 2017

  • Fitts, Alex; Boylan-Kolchin, Michael; Elbert, Oliver D.
  • Monthly Notices of the Royal Astronomical Society, Vol. 471, Issue 3
  • DOI: 10.1093/mnras/stx1757

Measuring the power spectrum of dark matter substructure using strong gravitational lensing
journal, November 2016

  • Hezaveh, Yashar; Dalal, Neal; Holder, Gilbert
  • Journal of Cosmology and Astroparticle Physics, Vol. 2016, Issue 11
  • DOI: 10.1088/1475-7516/2016/11/048

Forged in fire: cusps, cores and baryons in low-mass dwarf galaxies
journal, October 2015

  • Oñorbe, Jose; Boylan-Kolchin, Michael; Bullock, James S.
  • Monthly Notices of the Royal Astronomical Society, Vol. 454, Issue 2
  • DOI: 10.1093/mnras/stv2072

Effects of baryon removal on the structure of dwarf spheroidal galaxies
journal, December 2013

  • Arraki, Kenza S.; Klypin, Anatoly; More, Surhud
  • Monthly Notices of the Royal Astronomical Society, Vol. 438, Issue 2
  • DOI: 10.1093/mnras/stt2279

Direct detection of dark matter substructure in strong lens images with convolutional neural networks
journal, January 2020


Gravitationally lensed quasars and supernovae in future wide-field optical imaging surveys: Lensed quasars and supernovae
journal, April 2010


A Baryonic Solution to the Missing Satellites Problem
journal, February 2013


Analytic models of plausible gravitational lens potentials
journal, January 2009

  • Baltz, Edward A.; Marshall, Phil; Oguri, Masamune
  • Journal of Cosmology and Astroparticle Physics, Vol. 2009, Issue 01
  • DOI: 10.1088/1475-7516/2009/01/015

Low-mass halo perturbations in strong gravitational lenses at redshift z  ∼ 0.5 are consistent with CDM
journal, February 2019

  • Ritondale, E.; Vegetti, S.; Despali, G.
  • Monthly Notices of the Royal Astronomical Society, Vol. 485, Issue 2
  • DOI: 10.1093/mnras/stz464

There's no place like home? Statistics of Milky Way-mass dark matter haloes: Statistics of Milky Way-mass haloes
journal, June 2010


Shaken and stirred: the Milky Way's dark substructures
journal, February 2017

  • Sawala, Till; Pihajoki, Pauli; Johansson, Peter H.
  • Monthly Notices of the Royal Astronomical Society, Vol. 467, Issue 4
  • DOI: 10.1093/mnras/stx360

ETHOS – an effective theory of structure formation: dark matter physics as a possible explanation of the small-scale CDM problems
journal, May 2016

  • Vogelsberger, Mark; Zavala, Jesús; Cyr-Racine, Francis-Yan
  • Monthly Notices of the Royal Astronomical Society, Vol. 460, Issue 2
  • DOI: 10.1093/mnras/stw1076

Toward a Halo Mass Function for Precision Cosmology: The Limits of Universality
journal, December 2008

  • Tinker, Jeremy; Kravtsov, Andrey V.; Klypin, Anatoly
  • The Astrophysical Journal, Vol. 688, Issue 2
  • DOI: 10.1086/591439

Ellipsoidal collapse and an improved model for the number and spatial distribution of dark matter haloes
journal, May 2001


Line-of-sight effects in strong lensing: putting theory into practice
journal, April 2017

  • Birrer, Simon; Welschen, Cyril; Amara, Adam
  • Journal of Cosmology and Astroparticle Physics, Vol. 2017, Issue 04
  • DOI: 10.1088/1475-7516/2017/04/049

Constraining the halo mass function with observations
journal, August 2016

  • Castro, Tiago; Marra, Valerio; Quartin, Miguel
  • Monthly Notices of the Royal Astronomical Society, Vol. 463, Issue 2
  • DOI: 10.1093/mnras/stw2072

The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: cosmological analysis of the DR12 galaxy sample
journal, March 2017

  • Alam, Shadab; Ata, Metin; Bailey, Stephen
  • Monthly Notices of the Royal Astronomical Society, Vol. 470, Issue 3
  • DOI: 10.1093/mnras/stx721

Searches for new Milky Way satellites from the first two years of data of the Subaru/Hyper Suprime-Cam survey: Discovery of Cetus III
journal, July 2017

  • Homma, Daisuke; Chiba, Masashi; Okamoto, Sakurako
  • Publications of the Astronomical Society of Japan, Vol. 70, Issue SP1
  • DOI: 10.1093/pasj/psx050

Spreading out and staying sharp – creating diverse rotation curves via baryonic and self-interaction effects
journal, March 2017

  • Creasey, Peter; Sameie, Omid; Sales, Laura V.
  • Monthly Notices of the Royal Astronomical Society, Vol. 468, Issue 2
  • DOI: 10.1093/mnras/stx522

Gravitational detection of a low-mass dark satellite galaxy at cosmological distance
journal, January 2012

  • Vegetti, S.; Lagattuta, D. J.; McKean, J. P.
  • Nature, Vol. 481, Issue 7381
  • DOI: 10.1038/nature10669

A 7 deg2 survey for galaxy-scale gravitational lenses with the HST imaging archive★
journal, February 2014

  • Pawase, R. S.; Courbin, F.; Faure, C.
  • Monthly Notices of the Royal Astronomical Society, Vol. 439, Issue 4
  • DOI: 10.1093/mnras/stu179

Evidence for substructure in lens galaxies?
journal, April 1998


A SHARP view of H0LiCOW: H0 from three time-delay gravitational lens systems with adaptive optics imaging
journal, September 2019

  • Chen, Geoff C-F; Fassnacht, Christopher D.; Suyu, Sherry H.
  • Monthly Notices of the Royal Astronomical Society, Vol. 490, Issue 2
  • DOI: 10.1093/mnras/stz2547

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

Cosmological simulations of galaxy formation
journal, January 2020

  • Vogelsberger, Mark; Marinacci, Federico; Torrey, Paul
  • Nature Reviews Physics, Vol. 2, Issue 1
  • DOI: 10.1038/s42254-019-0127-2

Quantifying the power spectrum of small-scale structure in semi-analytic galaxies
journal, August 2019

  • Brennan, Sean; Benson, Andrew J.; Cyr-Racine, Francis-Yan
  • Monthly Notices of the Royal Astronomical Society, Vol. 488, Issue 4
  • DOI: 10.1093/mnras/stz1607

The Phoenix Project: the dark side of rich Galaxy clusters: The Phoenix project
journal, August 2012


Reconciling Dwarf Galaxies with Λcdm Cosmology: Simulating a Realistic Population of Satellites Around a Milky Way–Mass Galaxy
journal, August 2016


Substructures in cold dark matter haloes
journal, February 2004


Probing the nature of dark matter by forward modelling flux ratios in strong gravitational lenses
journal, August 2018

  • Gilman, Daniel; Birrer, Simon; Treu, Tommaso
  • Monthly Notices of the Royal Astronomical Society, Vol. 481, Issue 1
  • DOI: 10.1093/mnras/sty2261

Galaxy formation by dissipationless particles heavier than neutrinos
journal, September 1982

  • Blumenthal, George R.; Pagels, Heinz; Primack, Joel R.
  • Nature, Vol. 299, Issue 5878
  • DOI: 10.1038/299037a0

Constraints on the mass–concentration relation of cold dark matter haloes with 11 strong gravitational lenses
journal, November 2019

  • Gilman, Daniel; Du, Xiaolong; Benson, Andrew
  • Monthly Notices of the Royal Astronomical Society: Letters, Vol. 492, Issue 1
  • DOI: 10.1093/mnrasl/slz173

Warm dark matter chills out: constraints on the halo mass function and the free-streaming length of dark matter with eight quadruple-image strong gravitational lenses
journal, December 2019

  • Gilman, Daniel; Birrer, Simon; Nierenberg, Anna
  • Monthly Notices of the Royal Astronomical Society, Vol. 491, Issue 4
  • DOI: 10.1093/mnras/stz3480

The Sloan lens acs Survey. ix. Colors, Lensing, and Stellar Masses of Early-Type Galaxies
journal, October 2009


Inference of the cold dark matter substructure mass function at z = 0.2 using strong gravitational lenses
journal, June 2014

  • Vegetti, S.; Koopmans, L. V. E.; Auger, M. W.
  • Monthly Notices of the Royal Astronomical Society, Vol. 442, Issue 3
  • DOI: 10.1093/mnras/stu943

Quantifying Environmental and Line-of-sight Effects in Models of Strong Gravitational Lens Systems
journal, February 2017


Dark matter halo concentrations in the Wilkinson Microwave Anisotropy Probe year 5 cosmology
journal, October 2008

  • Duffy, Alan R.; Schaye, Joop; Kay, Scott T.
  • Monthly Notices of the Royal Astronomical Society: Letters, Vol. 390, Issue 1
  • DOI: 10.1111/j.1745-3933.2008.00537.x

Dark census: Statistically detecting the satellite populations of distant galaxies
journal, August 2016

  • Cyr-Racine, Francis-Yan; Moustakas, Leonidas A.; Keeton, Charles R.
  • Physical Review D, Vol. 94, Issue 4
  • DOI: 10.1103/PhysRevD.94.043505

The halo mass function from the dark ages through the present day
journal, January 2007


Dark Matter Subhalos and the Dwarf Satellites of the Milky Way
journal, June 2008

  • Madau, Piero; Diemand, Jürg; Kuhlen, Michael
  • The Astrophysical Journal, Vol. 679, Issue 2
  • DOI: 10.1086/587545

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

The Sloan lens acs Survey. x. Stellar, Dynamical, and Total mass Correlations of Massive Early-Type Galaxies
journal, November 2010


Gravitational imaging of cold dark matter substructures: Gravitational imaging of CDM substructures
journal, October 2005


Trans-dimensional Bayesian inference for gravitational lens substructures
journal, November 2015

  • Brewer, Brendon J.; Huijser, David; Lewis, Geraint F.
  • Monthly Notices of the Royal Astronomical Society, Vol. 455, Issue 2
  • DOI: 10.1093/mnras/stv2370

The substructure hierarchy in dark matter haloes
journal, March 2010


Probing the Small-scale Structure in Strongly Lensed Systems via Transdimensional Inference
journal, February 2018

  • Daylan, Tansu; Cyr-Racine, Francis-Yan; Rivero, Ana Diaz
  • The Astrophysical Journal, Vol. 854, Issue 2
  • DOI: 10.3847/1538-4357/aaaa1e

Mining for Dark Matter Substructure: Inferring Subhalo Population Properties from Strong Lenses with Machine Learning
journal, November 2019

  • Brehmer, Johann; Mishra-Sharma, Siddharth; Hermans, Joeri
  • The Astrophysical Journal, Vol. 886, Issue 1
  • DOI: 10.3847/1538-4357/ab4c41

Constraining sterile neutrino cosmologies with strong gravitational lensing observations at redshift z ∼ 0.2
journal, September 2018

  • Vegetti, S.; Despali, G.; Lovell, M. R.
  • Monthly Notices of the Royal Astronomical Society, Vol. 481, Issue 3
  • DOI: 10.1093/mnras/sty2393

Lensing substructure quantification in RXJ1131-1231: a 2 keV lower bound on dark matter thermal relic mass
journal, May 2017

  • Birrer, Simon; Amara, Adam; Refregier, Alexandre
  • Journal of Cosmology and Astroparticle Physics, Vol. 2017, Issue 05
  • DOI: 10.1088/1475-7516/2017/05/037

Precision Determination of the Mass Function of Dark Matter Halos
journal, August 2006

  • Warren, Michael S.; Abazajian, Kevork; Holz, Daniel E.
  • The Astrophysical Journal, Vol. 646, Issue 2
  • DOI: 10.1086/504962

On the density profile of dark matter substructure in gravitational lens galaxies
journal, July 2014

  • Vegetti, Simona; Vogelsberger, Mark
  • Monthly Notices of the Royal Astronomical Society, Vol. 442, Issue 4
  • DOI: 10.1093/mnras/stu1284

The stellar mass-halo mass relation of isolated field dwarfs: a critical test of ΛCDM at the edge of galaxy formation
journal, January 2017

  • Read, J. I.; Iorio, G.; Agertz, O.
  • Monthly Notices of the Royal Astronomical Society
  • DOI: 10.1093/mnras/stx147

SHARP – VII. New constraints on the dark matter free-streaming properties and substructure abundance from gravitationally lensed quasars
journal, November 2019

  • Hsueh, J-W; Enzi, W.; Vegetti, S.
  • Monthly Notices of the Royal Astronomical Society
  • DOI: 10.1093/mnras/stz3177

Probing dark matter structure down to 107 solar masses: flux ratio statistics in gravitational lenses with line-of-sight haloes
journal, June 2019

  • Gilman, Daniel; Birrer, Simon; Treu, Tommaso
  • Monthly Notices of the Royal Astronomical Society, Vol. 487, Issue 4
  • DOI: 10.1093/mnras/stz1593

Rhapsody. ii. Subhalo Properties and the Impact of Tidal Stripping from a Statistical Sample of Cluster-Size Halos
journal, March 2013


Probing dark matter substructure in the gravitational lens HE 0435−1223 with the WFC3 grism
journal, June 2017

  • Nierenberg, A. M.; Treu, T.; Brammer, G.
  • Monthly Notices of the Royal Astronomical Society, Vol. 471, Issue 2
  • DOI: 10.1093/mnras/stx1400

Modelling the line-of-sight contribution in substructure lensing
journal, January 2018

  • Despali, Giulia; Vegetti, Simona; White, Simon D. M.
  • Monthly Notices of the Royal Astronomical Society, Vol. 475, Issue 4
  • DOI: 10.1093/mnras/sty159

The boss Emission-Line lens Survey (Bells). i. a Large Spectroscopically Selected Sample of lens Galaxies at Redshift ∼0.5
journal, December 2011

  • Brownstein, Joel R.; Bolton, Adam S.; Schlegel, David J.
  • The Astrophysical Journal, Vol. 744, Issue 1
  • DOI: 10.1088/0004-637X/744/1/41

Dark Matter Substructure and Gamma‐Ray Annihilation in the Milky Way Halo
journal, March 2007

  • Diemand, Jurg; Kuhlen, Michael; Madau, Piero
  • The Astrophysical Journal, Vol. 657, Issue 1
  • DOI: 10.1086/510736

Deep Learning the Morphology of Dark Matter Substructure
journal, April 2020

  • Alexander, Stephon; Gleyzer, Sergei; McDonough, Evan
  • The Astrophysical Journal, Vol. 893, Issue 1
  • DOI: 10.3847/1538-4357/ab7925

Detection of a dark substructure through gravitational imaging: Detection of a dark substructure
journal, October 2010


The formation of galaxies from massive neutrinos
journal, November 1981

  • Davis, M.; Lecar, M.; Pryor, C.
  • The Astrophysical Journal, Vol. 250
  • DOI: 10.1086/159390

Subaru Weak-Lensing Survey of dark Matter Subhalos in the coma Cluster: Subhalo mass Function and Statistical Properties
journal, March 2014

  • Okabe, Nobuhiro; Futamase, Toshifumi; Kajisawa, Masaru
  • The Astrophysical Journal, Vol. 784, Issue 2
  • DOI: 10.1088/0004-637X/784/2/90

The Aquarius Project: the subhaloes of galactic haloes
journal, December 2008


Detecting dark matter substructure spectroscopically in strong gravitational lenses
journal, March 2003


The Population of Galaxy–Galaxy Strong Lenses in Forthcoming Optical Imaging Surveys
journal, September 2015


The Analysis of Counts of the Extragalactic Nebulae in Terms of a Fluctuating Density Field.
journal, January 1953

  • Limber, D. Nelson
  • The Astrophysical Journal, Vol. 117
  • DOI: 10.1086/145672

The evolution of large-scale structure in a universe dominated by cold dark matter
journal, May 1985

  • Davis, M.; Efstathiou, G.; Frenk, C. S.
  • The Astrophysical Journal, Vol. 292
  • DOI: 10.1086/163168

Weak lensing forecasts for dark energy, neutrinos and initial conditions
journal, March 2010


Works referencing / citing this record:

Gravitational lenses in arbitrary space-times
text, January 2020