Detection of CMB-Cluster Lensing using Polarization Data from SPTpol.

We report the first detection of gravitational lensing due to galaxy clusters using only the polarization of the cosmic microwave background (CMB). The lensing signal is obtained using a new estimator that extracts the lensing dipole signature from stacked images formed by rotating the cluster-centered Stokes QU map cutouts along the direction of the locally measured background CMB polarization gradient. Using data from the SPTpol 500  deg^{2} survey at the locations of roughly 18 000 clusters with richness λ≥10 from the Dark Energy Survey (DES) Year-3 full galaxy cluster catalog, we detect lensing at 4.8σ. The mean stacked mass of the selected sample is found to be (1.43±0.40)×10^{14}M_{⊙} which is in good agreement with optical weak lensing based estimates using DES data and CMB-lensing based estimates using SPTpol temperature data. This measurement is a key first step for cluster cosmology with future low-noise CMB surveys, like CMB-S4, for which CMB polarization will be the primary channel for cluster lensing measurements.

J. Frieman | O. Lahav | F. Castander | P. Fosalba | J. Mohr | D. Bacon | J. García-Bellido | A. Rosell | K. Honscheid | M. Maia | R. Ogando | E. Rykoff | M. Swanson | S. Meyer | A. Lee | P. Ade | J. Ruhl | E. Rozo | Peter Melchior | A. Anderson | J. Austermann | J. Avva | A. Bender | B. Benson | J. Carlstrom | C. Chang | M. Dobbs | A. Gilbert | N. Halverson | N. Harrington | J. Henning | G. Hilton | W. Holzapfel | N. Huang | K. Irwin | A. Lowitz | J. Montgomery | A. Nadolski | T. Natoli | G. Noble | V. Novosad | S. Padin | J. Sayre | G. Smecher | A. Stark | K. Story | C. Tucker | K. Vanderlinde | J. Vieira | G. Wang | N. Whitehorn | V. Yefremenko | M. Kind | R. Gruendl | S. Allam | H. Diehl | J. Gschwend | I. Sevilla-Noarbe | S. Ávila | D. Brooks | D. Burke | J. Carretero | S. Desai | P. Doel | A. Evrard | B. Flaugher | E. Gaztañaga | G. Gutiérrez | D. Hollowood | T. Jeltema | N. Kuropatkin | M. Lima | J. Marshall | F. Menanteau | R. Miquel | A. Plazas | A. Romer | A. Roodman | V. Scarpine | M. Schubnell | S. Serrano | M. Smith | E. Suchyta | G. Tarlé | M. Soares-Santos | E. Sánchez | J. Dietrich | T. Giannantonio | V. Vikram | Y. Zhang | H. Chiang | L. Knox | M. Costanzi | S. Everett | T. de Haan | J. Nibarger | K. Schaffer | J. Gallicchio | C. Reichardt | L. Bleem | T. Crawford | A. Crites | E. George | G. Holder | J. Hrubeš | J. McMahon | C. Pryke | J. Beall | L. Mocanu | S. Bocquet | B. Saliwanchik | F. Bianchini | R. Citron | C. C. Moran | N. Gupta | J. Hubmayr | D. Li | S. Patil | C. Sievers | T. Veach | W. L. K. Wu | J. D. de Vicente | T. Varga | S. Raghunathan | D. Rapetti | E. Baxter | T. McClintock | C. Feng | L. da Costa | M. C. Kind | A. C. Rosell | A. Roodman | J. Marshall | C. Chang | L. D. da Costa

[1]  Edward J. Wollack,et al.  The Atacama Cosmology Telescope: two-season ACTPol extragalactic point sources and their polarization properties , 2018, Monthly Notices of the Royal Astronomical Society.

[2]  E. Leitch,et al.  SPTpol: an instrument for CMB polarization measurements with the South Pole Telescope , 2012, Other Conferences.

[3]  Danna Zhou,et al.  d. , 1840, Microbial pathogenesis.

[4]  M. Lueker,et al.  A MEASUREMENT OF GRAVITATIONAL LENSING OF THE COSMIC MICROWAVE BACKGROUND BY GALAXY CLUSTERS USING DATA FROM THE SOUTH POLE TELESCOPE , 2014, 1412.7521.

[5]  U. Seljak,et al.  Lensing-induced Cluster Signatures in the Cosmic Microwave Background , 1999, astro-ph/9907254.

[6]  Y. Zel’dovich,et al.  The velocity of clusters of galaxies relative to the microwave background. The possibility of its measurement , 1980 .

[7]  Heidelberg,et al.  Weighing the giants – IV. Cosmology and neutrino mass , 2014, 1407.4516.

[8]  R. C. Smith,et al.  Dark Energy Survey Year 1 results: weak lensing mass calibration of redMaPPer galaxy clusters , 2018, Monthly Notices of the Royal Astronomical Society.

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

[10]  J. Frieman,et al.  A measurement of CMB cluster lensing with SPT and DES year 1 data , 2017, 1708.01360.

[11]  Matthias Bartelmann Arcs from a Universal Dark-Matter Halo Profile , 1996 .

[12]  J. E. Ruhl,et al.  Cluster Cosmology Constraints from the 2500 deg2 SPT-SZ Survey: Inclusion of Weak Gravitational Lensing Data from Magellan and the Hubble Space Telescope , 2018, The Astrophysical Journal.

[13]  G. W. Pratt,et al.  XXIV. Cosmology from Sunyaev-Zeldovich cluster counts , 2015, 1502.01597.

[14]  J. Frieman,et al.  COSMOLOGICAL CONSTRAINTS FROM THE SLOAN DIGITAL SKY SURVEY MaxBCG CLUSTER CATALOG , 2009, 0902.3702.

[15]  J. Carlstrom,et al.  Cosmology with the Sunyaev-Zel'dovich Effect , 2002, astro-ph/0208192.

[16]  G. Alagic,et al.  #p , 2019, Quantum Inf. Comput..

[17]  Miss A.O. Penney (b) , 1974, The New Yale Book of Quotations.

[18]  Weighing neutrinos with galaxy cluster surveys. , 2005, Physical review letters.

[19]  P. A. R. Ade,et al.  Year two instrument status of the SPT-3G cosmic microwave background receiver , 2018, Astronomical Telescopes + Instrumentation.

[20]  P. Alam ‘T’ , 2021, Composites Engineering: An A–Z Guide.

[21]  E. Pierpaoli,et al.  Kinetic Sunyaev-Zeldovich effect in an anisotropic CMB model: Measuring low multipoles of the CMB at higher redshifts using intensity and polarization spectral distortions , 2016, 1605.02111.

[22]  Kipac,et al.  The observed growth of massive galaxy clusters – IV. Robust constraints on neutrino properties , 2009, 0911.1788.

[23]  J. E. Ruhl,et al.  COSMOLOGICAL CONSTRAINTS FROM GALAXY CLUSTERS IN THE 2500 SQUARE-DEGREE SPT-SZ SURVEY , 2016, 1603.06522.

[24]  David N. Spergel,et al.  The Atacama Cosmology Telescope: Sunyaev-Zel'dovich selected galaxy clusters at 148 GHz from three seasons of data , 2013, 1301.0816.

[25]  Simon DeDeo,et al.  Cluster mass estimators from CMB temperature and polarization lensing , 2007, astro-ph/0701276.

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

[27]  J. Peacock,et al.  Cluster richness–mass calibration with cosmic microwave background lensing , 2017 .

[28]  P. A. R. Ade,et al.  Mass Calibration of Optically Selected DES Clusters Using a Measurement of CMB-cluster Lensing with SPTpol Data , 2018, The Astrophysical Journal.

[29]  Ravi Sheth,et al.  Halo Models of Large Scale Structure , 2002, astro-ph/0206508.

[30]  Adrian T. Lee,et al.  The 10 Meter South Pole Telescope , 2009, 0907.4445.

[31]  Alexey Vikhlinin,et al.  CHANDRA CLUSTER COSMOLOGY PROJECT III: COSMOLOGICAL PARAMETER CONSTRAINTS , 2008, 0812.2720.

[32]  Masamune Oguri,et al.  Combining cluster observables and stacked weak lensing to probe dark energy: Self-calibration of systematic uncertainties , 2010, 1010.0744.

[33]  J. Einasto,et al.  Galactic models with massive corona. I: Method , 1989 .

[34]  A. Lewis,et al.  Cluster masses from CMB and galaxy weak lensing , 2005, astro-ph/0512104.

[35]  A. Manzotti,et al.  Measuring galaxy cluster masses with CMB lensing using a Maximum Likelihood estimator: statistical and systematic error budgets for future experiments , 2017, 1705.00411.

[36]  C. Reichardt,et al.  Imprints of gravitational lensing in the Planck cosmic microwave background data at the location of WISE×SCOS galaxies , 2017, Physical Review D.

[37]  G. G. Stokes "J." , 1890, The New Yale Book of Quotations.

[38]  Thomas de Quincey [C] , 2000, The Works of Thomas De Quincey, Vol. 1: Writings, 1799–1820.

[39]  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.

[40]  Antonio-José Almeida,et al.  NAT , 2019, Springer Reference Medizin.

[41]  A. Lewis,et al.  Efficient computation of CMB anisotropies in closed FRW models , 1999, astro-ph/9911177.

[42]  C. A. Oxborrow,et al.  Planck2015 results , 2015, Astronomy & Astrophysics.

[43]  Adrian T. Lee,et al.  Measurements of the Temperature and E-mode Polarization of the CMB from 500 Square Degrees of SPTpol Data , 2017, 1707.09353.

[44]  R. Lincoln Mon , 2019, Encyclopedic Dictionary of Archaeology.

[45]  A. R. Rao Annual Review of Astronomy and Astrophysics , 2015 .

[46]  August E. Evrard,et al.  Cosmological Parameters from Observations of Galaxy Clusters , 2011, 1103.4829.

[47]  R. Nichol,et al.  redMaGiC: selecting luminous red galaxies from the DES Science Verification data , 2015, 1507.05460.

[48]  N. Aghanim,et al.  Constraints from thermal Sunyaev-Zel’dovich cluster counts and power spectrum combined with CMB , 2017, Astronomy & Astrophysics.

[49]  Federico Nati,et al.  Evidence of lensing of the cosmic microwave background by dark matter halos. , 2014, Physical review letters.

[50]  Tsuyoshi Murata,et al.  {m , 1934, ACML.

[51]  U. Seljak Analytic model for galaxy and dark matter clustering , 2000, astro-ph/0001493.

[52]  P. Alam ‘L’ , 2021, Composites Engineering: An A–Z Guide.

[53]  Anthony Challinor,et al.  Detecting the polarization induced by scattering of the microwave background quadrupole in galaxy clusters , 2014 .

[54]  A. Finoguenov,et al.  redMaPPer. I. ALGORITHM AND SDSS DR8 CATALOG , 2013, 1303.3562.

[55]  J. Silk COSMIC BLACK-BODY RADIATION AND GALAXY FORMATION. , 1968 .

[56]  S. W. Allen,et al.  New constraints on dark energy from the observed growth of the most X-ray luminous galaxy clusters , 2007, 0709.4294.

[57]  P. Alam ‘A’ , 2021, Composites Engineering: An A–Z Guide.

[58]  P. Alam ‘E’ , 2021, Composites Engineering: An A–Z Guide.

[59]  P. Alam ‘S’ , 2021, Composites Engineering: An A–Z Guide.

[60]  Scott Dodelson CMB-cluster lensing , 2004 .

[61]  R. Nichol,et al.  THE REDMAPPER GALAXY CLUSTER CATALOG FROM DES SCIENCE VERIFICATION DATA , 2016, The Astrophysical Journal Supplement Series.

[62]  J. Mohr,et al.  South Pole Telescope optics. , 2008, Applied optics.

[63]  P. Alam,et al.  R , 1823, The Herodotus Encyclopedia.

[64]  Institute for Advanced Study,et al.  Lensing reconstruction of cluster-mass cross correlation with cosmic microwave background polarization , 2010, 1005.0847.