CLASH: WEAK-LENSING SHEAR-AND-MAGNIFICATION ANALYSIS OF 20 GALAXY CLUSTERS

We present a joint shear-and-magnification weak-lensing analysis of a sample of 16 X-ray-regular and 4 high-magnification galaxy clusters at 0.19 ≾ z ≾ 0.69 selected from the Cluster Lensing And Supernova survey with Hubble (CLASH). Our analysis uses wide-field multi-color imaging, taken primarily with Suprime-Cam on the Subaru Telescope. From a stacked-shear-only analysis of the X-ray-selected subsample, we detect the ensemble-averaged lensing signal with a total signal-to-noise ratio of ≃ 25 in the radial range of 200-3500 kpc h^(–1), providing integrated constraints on the halo profile shape and concentration-mass relation. The stacked tangential-shear signal is well described by a family of standard density profiles predicted for dark-matter-dominated halos in gravitational equilibrium, namely, the Navarro-Frenk-White (NFW), truncated variants of NFW, and Einasto models. For the NFW model, we measure a mean concentration of c_(200c)=4.01^(+0.35)_(-0.32) at an effective halo mass of M_(200c)=1.34^(+0.10)_(-0.09) x 10^(15)M_☉. We show that this is in excellent agreement with Λ cold dark matter (ΛCDM) predictions when the CLASH X-ray selection function and projection effects are taken into account. The best-fit Einasto shape parameter is ɑ_E=0.191^(+0.071)_(-0.068), which is consistent with the NFW-equivalent Einasto parameter of ~0.18. We reconstruct projected mass density profiles of all CLASH clusters from a joint likelihood analysis of shear-and-magnification data and measure cluster masses at several characteristic radii assuming an NFW density profile. We also derive an ensemble-averaged total projected mass profile of the X-ray-selected subsample by stacking their individual mass profiles. The stacked total mass profile, constrained by the shear+magnification data, is shown to be consistent with our shear-based halo-model predictions, including the effects of surrounding large-scale structure as a two-halo term, establishing further consistency in the context of the ΛCDM model.

[1]  G. Abell The Distribution of rich clusters of galaxies , 1958 .

[2]  J. Einasto On the Construction of a Composite Model for the Galaxy and on the Determination of the System of Galactic Parameters , 1965 .

[3]  J. Gunn,et al.  On the Infall of Matter into Clusters of Galaxies and Some Effects on Their Evolution , 1972 .

[4]  S. Faber,et al.  Contraction of Dark Matter Galactic Halos Due to Baryonic Infall , 1986 .

[5]  G. Abell,et al.  A Catalog of Rich Clusters of Galaxies , 1989 .

[6]  T. Beers,et al.  Measures of location and scale for velocities in clusters of galaxies. A robust approach , 1990 .

[7]  Mapping cluster mass distributions via gravitational lensing of background galaxies , 1994, astro-ph/9406052.

[8]  Nonlinear cluster lens reconstruction , 1994, astro-ph/9408092.

[9]  T. Broadhurst,et al.  A Method for Weak Lensing Observations , 1994, astro-ph/9411005.

[10]  S. White,et al.  The Structure of cold dark matter halos , 1995, astro-ph/9508025.

[11]  E. Bertin,et al.  SExtractor: Software for source extraction , 1996 .

[12]  Semi-analytic predictions for statistical properties of X-ray clusters of galaxies in cold dark matter universes , 1996, astro-ph/9604141.

[13]  D. Schlegel,et al.  Maps of Dust IR Emission for Use in Estimation of Reddening and CMBR Foregrounds , 1997, astro-ph/9710327.

[14]  Edinburgh,et al.  Gravitational lens magnification and the mass of abell 1689 , 1998, astro-ph/9801158.

[15]  N. Benı́tez Bayesian Photometric Redshift Estimation , 1998, astro-ph/9811189.

[16]  D. Schlegel,et al.  Maps of Dust Infrared Emission for Use in Estimation of Reddening and Cosmic Microwave Background Radiation Foregrounds , 1998 .

[17]  Candace Oaxaca WrightTereasa G. Brainerd,et al.  Gravitational Lensing by NFW Halos , 1999, astro-ph/9908213.

[18]  Detection of Dark Matter Concentrations in the Field of Cl 1604+4304 from Weak Lensing Analysis , 2000, astro-ph/0004373.

[19]  The Density Profiles of the Dark Matter Halo Are Not Universal. , 1999, The Astrophysical journal.

[20]  A. Edge,et al.  MACS: A Quest for the Most Massive Galaxy Clusters in the Universe , 2000, astro-ph/0009101.

[21]  Noise properties of gravitational lens mass reconstruction , 1999, astro-ph/9909160.

[22]  The Phase - space density profiles of cold dark matter halos , 2001, astro-ph/0104002.

[23]  R. Somerville,et al.  Profiles of dark haloes: evolution, scatter and environment , 1999, astro-ph/9908159.

[24]  J. Mohr,et al.  Constraints on Cosmological Parameters from Future Galaxy Cluster Surveys , 2000, astro-ph/0002336.

[25]  S. Okamura,et al.  Subaru Prime Focus Camera — Suprime-Cam , 2002, astro-ph/0211006.

[26]  A. Moorwood,et al.  Instrument Design and Performance for Optical/Infrared Ground-based Telescopes, , 2003 .

[27]  Bruce C. Bigelow,et al.  IMACS, the multiobject spectrograph and imager for Magellan: a status report , 2003, SPIE Astronomical Telescopes + Instrumentation.

[28]  Mark Clampin,et al.  Overview of the Advanced Camera for Surveys on-orbit performance , 2003, SPIE Astronomical Telescopes + Instrumentation.

[29]  U. Washington,et al.  The inner structure of ΛCDM haloes – III. Universality and asymptotic slopes , 2003, astro-ph/0311231.

[30]  J. Peacock,et al.  Stable clustering, the halo model and non-linear cosmological power spectra , 2002, astro-ph/0207664.

[31]  H. Hoekstra How well can we determine cluster mass profiles from weak lensing , 2002, astro-ph/0208351.

[32]  R. Bouwens,et al.  Faint Galaxies in Deep Advanced Camera for Surveys Observations , 2004 .

[33]  T. Broadhurst,et al.  The Surprisingly Steep Mass Profile of A1689, from a Lensing Analysis of Subaru Images , 2004, astro-ph/0412192.

[34]  D. Nagai,et al.  Submitted to the Astrophysical Journal Preprint typeset using L ATEX style emulateapj v. 11/12/01 RESPONSE OF DARK MATTER HALOS TO CONDENSATION OF BARYONS: COSMOLOGICAL SIMULATIONS AND IMPROVED ADIABATIC CONTRACTION MODEL , 2004 .

[35]  J. Weller,et al.  Statistics of Physical Properties of Dark Matter Clusters , 2005, astro-ph/0509856.

[36]  B. Moore,et al.  Empirical models for Dark Matter Halos , 2005 .

[37]  T. Broadhurst,et al.  Can the Steep Mass Profile of A1689 Be Explained by a Triaxial Dark Halo? , 2005, astro-ph/0505452.

[38]  S. Maddox,et al.  zCOSMOS: A Large VLT/VIMOS Redshift Survey Covering 0 < z < 3 in the COSMOS Field , 2006, astro-ph/0612291.

[39]  Empirical models for dark matter halos II: inner profile slopes, dynamical profiles, and ρ/σ<3 , 2006, astro-ph/0608613.

[40]  H. Hoekstra,et al.  The Shear Testing Programme – I. Weak lensing analysis of simulated ground-based observations , 2005, astro-ph/0506112.

[41]  Granada,et al.  Galaxies in the Hubble Ultra Deep Field. I. Detection, Multiband Photometry, Photometric Redshifts, and Morphology , 2006, astro-ph/0605262.

[42]  B. Moore,et al.  Empirical Models for Dark Matter Halos. I. Nonparametric Construction of Density Profiles and Comparison with Parametric Models , 2005, astro-ph/0509417.

[43]  M. Oguri,et al.  Analytic models of plausible gravitational lens potentials , 2007, 0705.0682.

[44]  A complete sample of 12 very x-ray luminous galaxy clusters at z >0.5 , 2007, astro-ph/0703394.

[45]  R. Ellis,et al.  The Shear TEsting Programme 2: Factors affecting high precision weak lensing analyses , 2006, astro-ph/0608643.

[46]  J. Frieman,et al.  Cross-correlation Weak Lensing of SDSS galaxy Clusters II: Cluster Density Profiles and the Mass--Richness Relation , 2007, 0709.1159.

[47]  S. White,et al.  The redshift dependence of the structure of massive Λ cold dark matter haloes , 2007, 0711.0746.

[48]  T. Broadhurst,et al.  Combining Lens Distortion and Depletion to Map the Mass Distribution of A1689 , 2007, 0712.3441.

[49]  Astronomy,et al.  The statistics of lambda CDM Halo Concentrations , 2007, 0706.2919.

[50]  A. Lapi,et al.  DARK MATTER EQUILIBRIA IN GALAXIES AND GALAXY SYSTEMS , 2008, 0810.1245.

[51]  T. Broadhurst,et al.  Comparison of Cluster Lensing Profiles with ΛCDM Predictions , 2008, 0805.2617.

[52]  N. Okabe,et al.  Subaru Weak Lensing Study of Seven Merging Clusters: Distributions of Mass and Baryons , 2007, astro-ph/0702649.

[53]  Chih-Wei L. Huang,et al.  MASS AND HOT BARYONS IN MASSIVE GALAXY CLUSTERS FROM SUBARU WEAK-LENSING AND AMiBA SUNYAEV–ZEL'DOVICH EFFECT OBSERVATIONS , 2008, 0810.0969.

[54]  John W. MacKenty,et al.  Wide Field Camera 3: a powerful new imager for the Hubble Space Telescope , 2008, Astronomical Telescopes + Instrumentation.

[55]  P. S. Bunclark,et al.  Astronomical Data Analysis Software and Systems , 2008 .

[56]  Y. Wadadekar,et al.  Submitted to ApJS Preprint typeset using L ATEX style emulateapj v. 10/09/06 THE SIXTH DATA RELEASE OF THE SLOAN DIGITAL SKY SURVEY , 2022 .

[57]  S. Kay,et al.  Dark matter halo concentrations in the Wilkinson Microwave Anisotropy Probe year 5 cosmology , 2008, 0804.2486.

[58]  T. Chiueh,et al.  HIGH-RESOLUTION SIMULATION ON STRUCTURE FORMATION WITH EXTREMELY LIGHT BOSONIC DARK MATTER , 2008, 0806.0232.

[59]  Y. Jing,et al.  ACCURATE UNIVERSAL MODELS FOR THE MASS ACCRETION HISTORIES AND CONCENTRATIONS OF DARK MATTER HALOS , 2008, 0811.0828.

[60]  M. Meneghetti,et al.  Combining weak and strong cluster lensing: applications to simulations and MS 2137 , 2008, 0806.1967.

[61]  A. Grazian,et al.  DEEP U BAND AND R IMAGING OF GOODS-SOUTH: OBSERVATIONS, DATA REDUCTION AND FIRST RESULTS, , 2009, 0906.4250.

[62]  D. Thompson,et al.  COSMOS PHOTOMETRIC REDSHIFTS WITH 30-BANDS FOR 2-deg2 , 2008, 0809.2101.

[63]  M. Oguri,et al.  SUBARU WEAK LENSING MEASUREMENTS OF FOUR STRONG LENSING CLUSTERS: ARE LENSING CLUSTERS OVERCONCENTRATED? , 2009, 0901.4372.

[64]  J. Hjorth,et al.  STATISTICAL MECHANICS OF COLLISIONLESS ORBITS. I. ORIGIN OF CENTRAL CUSPS IN DARK-MATTER HALOS , 2010, 1010.0265.

[65]  T. Broadhurst,et al.  THE MASS STRUCTURE OF THE GALAXY CLUSTER Cl0024+1654 FROM A FULL LENSING ANALYSIS OF JOINT SUBARU AND ACS/NIC3 OBSERVATIONS , 2009, 0908.0069.

[66]  A. Edge,et al.  The X-ray brightest clusters of galaxies from the Massive Cluster Survey , 2010, 1004.4683.

[67]  S. Kay,et al.  Impact of baryon physics on dark matter structures: a detailed simulation study of halo density profiles , 2010, 1001.3447.

[68]  Birmingham,et al.  LoCuSS: Subaru Weak Lensing Study of 30 Galaxy Clusters , 2009, 0903.1103.

[69]  E. Rozo,et al.  Weak Lensing Mass Calibration with Shear and Magnification , 2010, 1009.5735.

[70]  Michael S. Warren,et al.  THE LARGE-SCALE BIAS OF DARK MATTER HALOS: NUMERICAL CALIBRATION AND MODEL TESTS , 2010, 1001.3162.

[71]  L. Waerbeke,et al.  MAGNIFICATION AS A PROBE OF DARK MATTER HALOS AT HIGH REDSHIFTS , 2010, 1004.3793.

[72]  D. Sijacki,et al.  The impact of AGN feedback and baryonic cooling on galaxy clusters as gravitational lenses , 2010, 1001.2281.

[73]  T. Broadhurst,et al.  Detailed cluster mass and light profiles of A1703, A370 and RXJ1347−11 from deep Subaru imaging★ , 2009, 0906.4791.

[74]  M. Meneghetti,et al.  Weighing simulated galaxy clusters using lensing and X-ray , 2009, 0912.1343.

[75]  D. Gerdes,et al.  A GMBCG GALAXY CLUSTER CATALOG OF 55,424 RICH CLUSTERS FROM SDSS DR7 , 2010, 1010.5503.

[76]  D. Thompson,et al.  GALAXY STELLAR MASS ASSEMBLY BETWEEN 0.2 < z < 2 FROM THE S-COSMOS SURVEY , 2009, 0903.0102.

[77]  M. Oguri The Mass Distribution of SDSS J1004$+$4112 Revisited , 2010, 1005.3103.

[78]  M. Meneghetti,et al.  Strong lensing in the MARENOSTRUM UNIVERSE - I. Biases in the cluster lens population , 2010, 1003.4544.

[79]  D. Nagai,et al.  SHAPES OF GAS, GRAVITATIONAL POTENTIAL, AND DARK MATTER IN ΛCDM CLUSTERS , 2010, 1003.2270.

[80]  M. Oguri,et al.  Combined strong and weak lensing analysis of 28 clusters from the Sloan Giant Arcs Survey , 2011, 1109.2594.

[81]  H. Hoekstra,et al.  LENSING MAGNIFICATION: A NOVEL METHOD TO WEIGH HIGH-REDSHIFT CLUSTERS AND ITS APPLICATION TO SpARCS , 2011, 1103.4407.

[82]  T. Futamase,et al.  ELLIPTICAL-WEIGHTED HOLICs FOR WEAK LENSING SHEAR MEASUREMENT. II. POINT-SPREAD FUNCTION CORRECTION AND APPLICATION TO A370 , 2011, 1107.5863.

[83]  M. Oguri,et al.  Detailed cluster lensing profiles at large radii and the impact on cluster weak lensing studies , 2011, 1101.0650.

[84]  M. Becker,et al.  ON THE ACCURACY OF WEAK-LENSING CLUSTER MASS RECONSTRUCTIONS , 2010, 1011.1681.

[85]  O. Lahav,et al.  THE CLUSTER LENSING AND SUPERNOVA SURVEY WITH HUBBLE (CLASH): STRONG-LENSING ANALYSIS OF A383 FROM 16-BAND HST/WFC3/ACS IMAGING , 2011, The Astrophysical Journal.

[86]  M. Sereno,et al.  Weak- and strong-lensing analyses of the triaxial matter distribution of Abell 1689 , 2011, 1105.4994.

[87]  T. Broadhurst,et al.  CLUSTER MASS PROFILES FROM A BAYESIAN ANALYSIS OF WEAK-LENSING DISTORTION AND MAGNIFICATION MEASUREMENTS: APPLICATIONS TO SUBARU DATA , 2010, 1011.3044.

[88]  O. Lahav,et al.  THE CLUSTER LENSING AND SUPERNOVA SURVEY WITH HUBBLE: AN OVERVIEW , 2011, 1106.3328.

[89]  Edward J. Wollack,et al.  FIVE-YEAR WILKINSON MICROWAVE ANISOTROPY PROBE OBSERVATIONS: COSMOLOGICAL INTERPRETATION , 2008, 0803.0547.

[90]  N. Benı́tez,et al.  A weak lensing detection of the cosmological distance–redshift relation behind three massive clusters , 2011, 1101.1955.

[91]  M. Postman,et al.  A PRECISE CLUSTER MASS PROFILE AVERAGED FROM THE HIGHEST-QUALITY LENSING DATA , 2011, 1105.0444.

[92]  S. White,et al.  The Phoenix Project: the dark side of rich galaxy clusters , 2012, 1201.1940.

[93]  O. Lahav,et al.  CLASH: MASS DISTRIBUTION IN AND AROUND MACS J1206.2-0847 FROM A FULL CLUSTER LENSING ANALYSIS , 2012, 1204.3630.

[94]  J. Rhodes,et al.  MAGNIFICATION BY GALAXY GROUP DARK MATTER HALOS , 2011, 1111.3698.

[95]  T. Treu,et al.  THE DENSITY PROFILES OF MASSIVE, RELAXED GALAXY CLUSTERS. I. THE TOTAL DENSITY OVER THREE DECADES IN RADIUS , 2012, 1209.1391.

[96]  M. Meneghetti,et al.  Lensing and x-ray mass estimates of clusters (simulations) , 2012, 1201.1569.

[97]  H. Hoekstra,et al.  CFHTLenS: the Canada–France–Hawaii Telescope Lensing Survey , 2012, 1210.0032.

[98]  S. Serjeant,et al.  Star Formation and AGN Activity in Galaxies Classified Using the 1.6 μm Bump and PAH Features at z = 0.4-2 , 2011, 1112.6273.

[99]  T. Narikawa,et al.  Testing gravity with halo density profiles observed through gravitational lensing , 2012, 1201.4037.

[100]  R. Massey,et al.  GALAXIES IN X-RAY GROUPS. II. A WEAK LENSING STUDY OF HALO CENTERING , 2012, 1205.4262.

[101]  Michael J. Kurtz,et al.  CLASH: PRECISE NEW CONSTRAINTS ON THE MASS PROFILE OF THE GALAXY CLUSTER A2261 , 2012, 1201.1616.

[102]  S. White,et al.  The mass profile and accretion history of cold dark matter haloes , 2013, 1302.0288.

[103]  C. Baccigalupi,et al.  Hydrodynamical simulations of galaxy clusters in dark energy cosmologies , 2010, 1008.5376.

[104]  J. Kneib,et al.  HerMES: A DEFICIT IN THE SURFACE BRIGHTNESS OF THE COSMIC INFRARED BACKGROUND DUE TO GALAXY CLUSTER GRAVITATIONAL LENSING , 2013, 1303.6725.

[105]  M. Sereno,et al.  The mass–concentration relation in massive galaxy clusters at redshift ∼1 , 2013, 1306.6096.

[106]  P. Blanchard,et al.  SEARCHING FOR COOLING SIGNATURES IN STRONG LENSING GALAXY CLUSTERS: EVIDENCE AGAINST BARYONS SHAPING THE MATTER DISTRIBUTION IN CLUSTER CORES , 2013, 1305.4184.

[107]  S. Seitz,et al.  Weak lensing analysis of RXC J2248.7−4431 , 2013, 1304.0764.

[108]  O. Lahav,et al.  THE CONTRIBUTION OF HALOS WITH DIFFERENT MASS RATIOS TO THE OVERALL GROWTH OF CLUSTER-SIZED HALOS , 2013, 1308.1675.

[109]  M. Lima,et al.  Testing phenomenological and theoretical models of dark matter density profiles with galaxy clusters , 2013, 1301.1684.

[110]  S. Habib,et al.  DARK MATTER HALO PROFILES OF MASSIVE CLUSTERS: THEORY VERSUS OBSERVATIONS , 2011, 1112.5479.

[111]  K. Umetsu,et al.  LoCuSS: THE MASS DENSITY PROFILE OF MASSIVE GALAXY CLUSTERS AT z = 0.2, , 2013, 1302.2728.

[112]  K. Umetsu MODEL-FREE MULTI-PROBE LENSING RECONSTRUCTION OF CLUSTER MASS PROFILES , 2013, 1302.0514.

[113]  O. Lahav,et al.  CLASH: COMPLETE LENSING ANALYSIS OF THE LARGEST COSMIC LENS MACS J0717.5+3745 AND SURROUNDING STRUCTURES , 2013, 1304.1223.

[114]  T. Broadhurst,et al.  CLUSTER LENSING PROFILES DERIVED FROM A REDSHIFT ENHANCEMENT OF MAGNIFIED BOSS-SURVEY GALAXIES , 2013, 1303.6588.

[115]  M. Meneghetti,et al.  CLASH-VLT: The mass, velocity-anisotropy, and pseudo-phase-space density profiles of the z = 0.44 galaxy cluster MACS J1206.2-0847 , 2013, 1307.5867.

[116]  O. Lahav,et al.  CLASH-X: A COMPARISON OF LENSING AND X-RAY TECHNIQUES FOR MEASURING THE MASS PROFILES OF GALAXY CLUSTERS , 2014, 1405.7876.

[117]  D. Burke,et al.  Weighing the Giants – III. Methods and measurements of accurate galaxy cluster weak-lensing masses , 2012, 1208.0605.

[118]  R. Blandford,et al.  Weighing the Giants - I. Weak-lensing masses for 51 massive galaxy clusters: project overview, data analysis methods and cluster images , 2012, 1208.0597.

[119]  O. Lahav,et al.  THE MUSIC OF CLASH: PREDICTIONS ON THE CONCENTRATION–MASS RELATION , 2014, 1404.1384.

[120]  A. Kravtsov,et al.  DEPENDENCE OF THE OUTER DENSITY PROFILES OF HALOS ON THEIR MASS ACCRETION RATE , 2014, 1401.1216.

[121]  O. Lahav,et al.  CLASH: Photometric redshifts with 16 HST bands in galaxy cluster fields , 2013, 1308.0063.

[122]  V. Cardone,et al.  MEASUREMENT OF THE HALO BIAS FROM STACKED SHEAR PROFILES OF GALAXY CLUSTERS , 2014, 1402.4815.

[123]  J. Bartlett,et al.  Closing the loop: a self-consistent model of optical, X-ray and Sunyaev–Zel'dovich scaling relations for clusters of Galaxies , 2012, 1204.6305.

[124]  Caltech,et al.  Weighing the Giants – II. Improved calibration of photometry from stellar colours and accurate photometric redshifts , 2012, 1208.0602.

[125]  O. Lahav,et al.  CLASH: THE CONCENTRATION-MASS RELATION OF GALAXY CLUSTERS , 2014, 1404.1376.