Planck 2013 results. XVII. Gravitational lensing by large-scale structure

Ade, P. A.  R.; Aghanim, N.; Armitage-Caplan, C.; Arnaud, M.; Ashdown, M.; Atrio-Barandela, F.; Aumont, J.; Baccigalupi, C.; Banday, A. J.; Barreiro, R. B.; Bartlett, J. G.; Basak, S.; Battaner, E.; Benabed, K.; Benoît, A.; Benoit-Lévy, A.; Bernard, J. -P.; Bersanelli, M.; Bielewicz, P.; Bobin, J.; Bock, J. J.; Bonaldi, A.; Bonavera, L.; Bond, J. R.; Borrill, J.; Bouchet, F. R.; Bridges, M.; Bucher, M.; Burigana, C.; Butler, R. C.; Cardoso, J. -F.; Catalano, A.; Challinor, A.; Chamballu, A.; Chiang, H. C.; Chiang, L. -Y; Christensen, P. R.; Church, S.; Clements, D. L.; Colombi, S.; Colombo, L. P.  L.; Couchot, F.; Coulais, A.; Crill, B. P.; Curto, A.; Cuttaia, F.; Danese, L.; Davies, R. D.; Davis, R. J.; de Bernardis, P.; de Rosa, A.; de Zotti, G.; Déchelette, T.; Delabrouille, J.; Delouis, J. -M.; Désert, F. -X.; Dickinson, C.; Diego, J. M.; Dole, H.; Donzelli, S.; Doré, O.; Douspis, M.; Dunkley, J.; Dupac, X.; Efstathiou, G.; Enßlin, T. A.; Eriksen, H. K.; Finelli, F.; Forni, O.; Frailis, M.; Franceschi, E.; Galeotta, S.; Ganga, K.; Giard, M.; Giardino, G.; Giraud-Héraud, Y.; González-Nuevo, J.; Górski, K. M.; Gratton, S.; Gregorio, A.; Gruppuso, A.; Gudmundsson, J. E.; Hansen, F. K.; Hanson, D.; Harrison, D.; Henrot-Versillé, S.; Hernández-Monteagudo, C.; Herranz, D.; Hildebrandt, S. R.; Hivon, E.; Ho, S.; Hobson, M.; Holmes, W. A.; Hornstrup, A.; Hovest, W.; Huffenberger, K. M.; Jaffe, A. H.; Jaffe, T. R.; Jones, W. C.; Juvela, M.; Keihänen, E.; Keskitalo, R.; Kisner, T. S.; Kneissl, R.; Knoche, J.; Knox, L.; Kunz, M.; Kurki-Suonio, H.; Lagache, G.; Lähteenmäki, A.; Lamarre, J. -M.; Lasenby, A.; Laureijs, R. J.; Lavabre, A.; Lawrence, C. R.; Leahy, J. P.; Leonardi, R.; León-Tavares, J.; Lesgourgues, J.; Lewis, A.; Liguori, M.; Lilje, P. B.; Linden-Vørnle, M.; López-Caniego, M.; Lubin, P. M.; Macías-Pérez, J. F.; Maffei, B.; Maino, D.; Mandolesi, N.; Mangilli, A.; Maris, M.; Marshall, D. J.; Martin, P. G.; Martínez-González, E.; Masi, S.; Massardi, M.; Matarrese, S.; Matthai, F.; Mazzotta, P.; Melchiorri, A.; Mendes, L.; Mennella, A.; Migliaccio, M.; Mitra, S.; Miville-Deschênes, M. -A.; Moneti, A.; Montier, L.; Morgante, G.; Mortlock, D.; Moss, A.; Munshi, D.; Murphy, J. A.; Naselsky, P.; Nati, F.; Natoli, P.; Netterfield, C. B.; Nørgaard-Nielsen, H. U.; Noviello, F.; Novikov, D.; Novikov, I.; Osborne, S.; Oxborrow, C. A.; Paci, F.; Pagano, L.; Pajot, F.; Paoletti, D.; Partridge, B.; Pasian, F.; Patanchon, G.; Perdereau, O.; Perotto, L.; Perrotta, F.; Piacentini, F.; Piat, M.; Pierpaoli, E.; Pietrobon, D.; Plaszczynski, S.; Pointecouteau, E.; Polenta, G.; Ponthieu, N.; Popa, L.; Poutanen, T.; Pratt, G. W.; Prézeau, G.; Prunet, S.; Puget, J. -L.; Pullen, A. R.; Rachen, J. P.; Rebolo, R.; Reinecke, M.; Remazeilles, M.; Renault, C.; Ricciardi, S.; Riller, T.; Ristorcelli, I.; Rocha, G.; Rosset, C.; Roudier, G.; Rowan-Robinson, M.; Rubiño-Martín, J. A.; Rusholme, B.; Sandri, M.; Santos, D.; Savini, G.; Scott, D.; Seiffert, M. D.; Shellard, E. P.  S.; Smith, K.; Spencer, L. D.; Starck, J. -L.; Stolyarov, V.; Stompor, R.; Sudiwala, R.; Sunyaev, R.; Sureau, F.; Sutton, D.; Suur-Uski, A. -S.; Sygnet, J. -F.; Tauber, J. A.; Tavagnacco, D.; Terenzi, L.; Toffolatti, L.; Tomasi, M.; Tristram, M.; Tucci, M.; Tuovinen, J.; Umana, G.; Valenziano, L.; Valiviita, J.; Van Tent, B.; Vielva, P.; Villa, F.; Vittorio, N.; Wade, L. A.; Wandelt, B. D.; White, M.; White, S. D.  M.; Yvon, D.; Zacchei, A.; Zonca, A.

doi:10.1051/0004-6361/201321543

Title: Planck 2013 results. XVII. Gravitational lensing by large-scale structure

Journal Article · Wed Oct 29 00:00:00 EDT 2014 · Astronomy and Astrophysics

DOI:https://doi.org/10.1051/0004-6361/201321543· OSTI ID:1523973

Ade, P. A. R.; Aghanim, N.; Armitage-Caplan, C.; Arnaud, M.; Ashdown, M.; Atrio-Barandela, F.; Aumont, J.; Baccigalupi, C.; Banday, A. J.; Barreiro, R. B.; Bartlett, J. G.; Basak, S.; Battaner, E.; Benabed, K.; Benoît, A.; Benoit-Lévy, A.; Bernard, J. -P.; Bersanelli, M.; Bielewicz, P.; Bobin, J. more »

On the arcminute angular scales probed by Planck, the cosmic microwave background (CMB) anisotropies are gently perturbed by gravitational lensing. Here we present a detailed study of this effect, detecting lensing independently in the 100, 143, and 217 GHz frequency bands with an overall significance of greater than 25σ. We use the temperature-gradient correlations induced by lensing to reconstruct a (noisy) map of the CMB lensing potential, which provides an integrated measure of the mass distribution back to the CMB last-scattering surface. Our lensing potential map is significantly correlated with other tracers of mass, a fact which we demonstrate using several representative tracers of large-scale structure. We estimate the power spectrum of the lensing potential, finding generally good agreement with expectations from the best-fitting ΛCDM model for the Planck temperature power spectrum, showing that this measurement at z = 1100 correctly predicts the properties of the lower-redshift, later-time structures which source the lensing potential. Furthermore, when combined with the temperature power spectrum, our measurement provides degeneracy-breaking power for parameter constraints; it improves CMB-alone constraints on curvature by a factor of two and also partly breaks the degeneracy between the amplitude of the primordial perturbation power spectrum and the optical depth to reionization, allowing a measurement of the optical depth to reionization which is independent of large-scale polarization data. Discarding scale information, our measurement corresponds to a 4% constraint on the amplitude of the lensing potential power spectrum, or a 2% constraint on the root-mean-squared amplitude of matter fluctuations at z ~ 2.

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Research Organization:: Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Contributing Organization:: Planck Collaboration

Grant/Contract Number:: AC02-05CH11231

OSTI ID:: 1523973

Journal Information:: Astronomy and Astrophysics, Vol. 571; ISSN 0004-6361

Publisher:: EDP SciencesCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 324 works

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Cosmological constraints from galaxy-lensing cross correlations using BOSS galaxies with SDSS and CMB lensing Singh, Sukhdeep; Mandelbaum, Rachel; Seljak, Uroš arXiv https://doi.org/10.48550/arxiv.1811.06499	text	January 2018
Distortions in the surface of last scattering Li, Peikai; Dodelson, Scott; Hu, Wayne Physical Review D, Vol. 100, Issue 4 https://doi.org/10.1103/physrevd.100.043502	journal	August 2019
Optimal filtering for CMB lensing reconstruction Mirmelstein, Mark; Carron, Julien; Lewis, Antony Physical Review D, Vol. 100, Issue 12 https://doi.org/10.1103/physrevd.100.123509	journal	December 2019
Planck 2013 results. XXII. Constraints on inflation Collaboration, Planck; Ade, P. A. R.; Aghanim, N. arXiv https://doi.org/10.48550/arxiv.1303.5082	text	January 2013
Bias to CMB lensing from lensed foregrounds Mishra, Nishant; Schaan, Emmanuel Physical Review D, Vol. 100, Issue 12 https://doi.org/10.1103/physrevd.100.123504	journal	December 2019
Evidence for the Cross-correlation between Cosmic Microwave Background Polarization Lensing from Polarbear and Cosmic Shear from Subaru Hyper Suprime-Cam Namikawa, T.; Chinone, Y.; Miyatake, H. The Astrophysical Journal, Vol. 882, Issue 1 https://doi.org/10.3847/1538-4357/ab3424	journal	September 2019
Planck 2013 Results. XXIV. Constraints on primordial non-Gaussianity Collaboration, Planck; Ade, P. A. R.; Aghanim, N. arXiv https://doi.org/10.48550/arxiv.1303.5084	text	January 2013
Planck 2015 results : VI. LFI mapmaking Ade, P. A. R.; Aghanim, N.; Ashdown, M. Astronomy & Astrophysics, Vol. 594 https://doi.org/10.1051/0004-6361/201525813	journal	September 2016
Cosmic viscosity as a remedy for tension between PLANCK and LSS data Anand, Sampurn; Chaubal, Prakrut; Mazumdar, Arindam Journal of Cosmology and Astroparticle Physics, Vol. 2017, Issue 11 https://doi.org/10.1088/1475-7516/2017/11/005	journal	November 2017
Planck 2013 results. XXVI. Background geometry and topology of the Universe Ade, P. A. R.; Aghanim, N.; Armitage-Caplan, C. Astronomy & Astrophysics, Vol. 571 https://doi.org/10.1051/0004-6361/201321546	journal	October 2014
Stochastic gravitational wave backgrounds Christensen, Nelson Reports on Progress in Physics, Vol. 82, Issue 1 https://doi.org/10.1088/1361-6633/aae6b5	journal	November 2018
Effect of the cosmological constant on the deflection angle by a rotating cosmic string Jusufi, Kimet; Övgün, Ali Physical Review D, Vol. 97, Issue 6 https://doi.org/10.1103/physrevd.97.064030	journal	March 2018
Measurement of the Integrated Sachs–Wolfe Effect Using the Allwise data Release Shajib, Anowar J.; Wright, Edward L. The Astrophysical Journal, Vol. 827, Issue 2 https://doi.org/10.3847/0004-637x/827/2/116	journal	August 2016
Testing general relativity in cosmology Ishak, Mustapha Living Reviews in Relativity, Vol. 22, Issue 1 https://doi.org/10.1007/s41114-018-0017-4	journal	December 2018
Tension between the power spectrum of density perturbations measured on large and small scales Battye, Richard A.; Charnock, Tom; Moss, Adam Physical Review D, Vol. 91, Issue 10 https://doi.org/10.1103/physrevd.91.103508	journal	May 2015
Search for a Dark Matter-Induced Annual Modulation Signal in NaI(Tl) with the COSINE-100 Experiment Adhikari, G.; Adhikari, P.; de Souza, E. Barbosa Physical Review Letters, Vol. 123, Issue 3 https://doi.org/10.1103/physrevlett.123.031302	journal	July 2019
Planck 2015 results : XVI. Isotropy and statistics of the CMB Ade, P. A. R.; Aghanim, N.; Akrami, Y. Astronomy & Astrophysics, Vol. 594 https://doi.org/10.1051/0004-6361/201526681	journal	September 2016
Neutrinos in the holographic dark energy model: constraints from latest measurements of expansion history and growth of structure Zhang, Jing-Fei; Zhao, Ming-Ming; Li, Yun-He Journal of Cosmology and Astroparticle Physics, Vol. 2015, Issue 04 https://doi.org/10.1088/1475-7516/2015/04/038	journal	April 2015
Planck 2013 results. XXIII. Isotropy and statistics of the CMB Ade, P. A. R.; Aghanim, N.; Armitage-Caplan, C. Astronomy & Astrophysics, Vol. 571 https://doi.org/10.1051/0004-6361/201321534	journal	October 2014
A Measurement of the Cosmic Microwave Background Lensing Potential and Power Spectrum from 500 deg$^2$ of SPTpol Temperature and Polarization Data Wu, W. L. K.; Mocanu, L. M.; Ade, P. A. R. arXiv https://doi.org/10.48550/arxiv.1905.05777	text	January 2019
Planck 2015 results : XXIII. The thermal Sunyaev-Zeldovich effect-cosmic infrared background correlation Ade, P. A. R.; Aghanim, N.; Arnaud, M. Astronomy & Astrophysics, Vol. 594 https://doi.org/10.1051/0004-6361/201527418	journal	September 2016
The cosmic microwave background: the history of its experimental investigation and its significance for cosmology Durrer, Ruth Classical and Quantum Gravity, Vol. 32, Issue 12 https://doi.org/10.1088/0264-9381/32/12/124007	journal	June 2015
Planck 2013 results. I. Overview of products and scientific results Ade, P. A. R.; Aghanim, N.; Alves, M. I. R. Astronomy & Astrophysics, Vol. 571 https://doi.org/10.1051/0004-6361/201321529	journal	October 2014
Planck 2013 results. V. LFI calibration Aghanim, N.; Armitage-Caplan, C.; Arnaud, M. Astronomy & Astrophysics, Vol. 571 https://doi.org/10.1051/0004-6361/201321527	journal	October 2014
Evidence of cross-correlation between the CMB lensing and the gamma-ray sky Fornengo, N.; Perotto, L.; Regis, M. arXiv https://doi.org/10.48550/arxiv.1410.4997	text	January 2014
Planck 2013 results. XXIX. The Planck catalogue of Sunyaev-Zeldovich sources Ade, P. A. R.; Aghanim, N.; Armitage-Caplan, C. Astronomy & Astrophysics, Vol. 571 https://doi.org/10.1051/0004-6361/201321523	journal	October 2014
Planck 2013 results. XX. Cosmology from Sunyaev–Zeldovich cluster counts Ade, P. A. R.; Aghanim, N.; Armitage-Caplan, C. Astronomy & Astrophysics, Vol. 571 https://doi.org/10.1051/0004-6361/201321521	journal	October 2014
Two-season Atacama Cosmology Telescope polarimeter lensing power spectrum Sherwin, Blake; Van Engelen, A.; Sehgal, N. Apollo - University of Cambridge Repository https://doi.org/10.17863/cam.43393	text	January 2017
Demonstration of Cosmic Microwave Background Delensing Using the Cosmic Infrared Background Larsen, Patricia; Challinor, Anthony; Sherwin, Blake Apollo - University of Cambridge Repository https://doi.org/10.17863/cam.7467	text	January 2016
Measuring the small-scale matter power spectrum with high-resolution CMB lensing Nguyễn, Hồ Nam; Sehgal, Neelima; Madhavacheril, Mathew S. Physical Review D, Vol. 99, Issue 2 https://doi.org/10.1103/physrevd.99.023502	journal	January 2019
A Measurement of the Cosmic Microwave Background Lensing Potential and Power Spectrum from 500 deg ² of SPTpol Temperature and Polarization Data Wu, W. L. K.; Mocanu, L. M.; Ade, P. A. R. The Astrophysical Journal, Vol. 884, Issue 1 https://doi.org/10.3847/1538-4357/ab4186	journal	October 2019
Lensing covariance on cut sky and $SPT − P l a n c k$ lensing tensions Motloch, Pavel; Hu, Wayne Physical Review D, Vol. 99, Issue 2 https://doi.org/10.1103/physrevd.99.023506	journal	January 2019
Distortions in the Surface of Last Scattering Li, Peikai; Dodelson, Scott; Hu, Wayne arXiv https://doi.org/10.48550/arxiv.1905.03923	text	January 2019
Planck Lensing and Cosmic Infrared Background Cross-correlation with Fermi -LAT: Tracing Dark Matter Signals in the Gamma-Ray Background Feng, Chang; Cooray, Asantha; Keating, Brian The Astrophysical Journal, Vol. 836, Issue 1 https://doi.org/10.3847/1538-4357/836/1/127	journal	February 2017
Tensions between direct measurements of the lens power spectrum from Planck data Motloch, Pavel; Hu, Wayne Physical Review D, Vol. 97, Issue 10 https://doi.org/10.1103/physrevd.97.103536	journal	May 2018
Cosmology and Fundamental Physics with the Euclid Satellite Amendola, Luca; Appleby, Stephen; Bacon, David Living Reviews in Relativity, Vol. 16, Issue 1 https://doi.org/10.12942/lrr-2013-6	journal	September 2013
Cosmological constraints from a joint analysis of cosmic microwave background and spectroscopic tracers of the large-scale structure Doux, Cyrille; Penna-Lima, Mariana; Vitenti, Sandro D. P. Monthly Notices of the Royal Astronomical Society, Vol. 480, Issue 4 https://doi.org/10.1093/mnras/sty2160	journal	August 2018
Improved cosmological constraints from a joint analysis of the SDSS-II and SNLS supernova samples Betoule, M.; Kessler, R.; Guy, J. Astronomy & Astrophysics, Vol. 568 https://doi.org/10.1051/0004-6361/201423413	journal	August 2014
Variable sound speed in interacting dark energy models Linton, Mark S.; Pourtsidou, Alkistis; Crittenden, Robert arXiv https://doi.org/10.48550/arxiv.1711.05196	text	January 2017
Constraining gravity at the largest scales through CMB lensing and galaxy velocities Pullen, Anthony R.; Alam, Shadab; He, Siyu Monthly Notices of the Royal Astronomical Society, Vol. 460, Issue 4 https://doi.org/10.1093/mnras/stw1249	journal	May 2016
Cross-correlation of gravitational lensing from DES Science Verification data with SPT and Planck lensing Kirk, D.; Omori, Y.; Benoit-Lévy, A. Monthly Notices of the Royal Astronomical Society, Vol. 459, Issue 1 https://doi.org/10.1093/mnras/stw570	journal	March 2016
Testing models of vacuum energy interacting with cold dark matter Li, Yun-He; Zhang, Jing-Fei; Zhang, Xin Physical Review D, Vol. 93, Issue 2 https://doi.org/10.1103/physrevd.93.023002	journal	January 2016
Improved constraint on the primordial gravitational-wave density using recent cosmological data and its impact on cosmic string models Henrot-Versillé, Sophie; Robinet, Florent; Leroy, Nicolas Classical and Quantum Gravity, Vol. 32, Issue 4 https://doi.org/10.1088/0264-9381/32/4/045003	journal	January 2015
CMB internal delensing with general optimal estimator for higher-order correlations Namikawa, Toshiya Physical Review D, Vol. 95, Issue 10 https://doi.org/10.1103/physrevd.95.103514	journal	May 2017
Demonstration of Cosmic Microwave Background Delensing Using the Cosmic Infrared Background Larsen, Patricia; Challinor, Anthony; Sherwin, Blake D. Physical Review Letters, Vol. 117, Issue 15 https://doi.org/10.1103/PhysRevLett.117.151102	journal	October 2016
The Kinematic Sunyaev-Zel'dovich Effect with Projected Fields: A Novel Probe of the Baryon Distribution with Planck, WMAP, and WISE Data Hill, J. Colin; Ferraro, Simone; Battaglia, Nick arXiv https://doi.org/10.48550/arxiv.1603.01608	text	January 2016
A search for ultra-light axions using precision cosmological data Hlozek, Renée; Grin, Daniel; Marsh, David J. E. arXiv https://doi.org/10.48550/arxiv.1410.2896	text	January 2014
Evidence of Lensing of the Cosmic Microwave Background by Dark Matter Halos Madhavacheril, Mathew; Sehgal, Neelima; Allison, Rupert arXiv https://doi.org/10.48550/arxiv.1411.7999	text	January 2014
Internal delensing of Planck CMB temperature and polarization Carron, J.; Lewis, A.; Challinor, Anthony Apollo - University of Cambridge Repository https://doi.org/10.17863/cam.12356	text	January 2017
Can modified gravity models reconcile the tension between the CMB anisotropy and lensing maps in Planck-like observations? Hu, Bin; Raveri, Marco Physical Review D, Vol. 91, Issue 12 https://doi.org/10.1103/physrevd.91.123515	journal	June 2015
CMB lensing tomography with the DES Science Verification galaxies Giannantonio, T.; Fosalba, P.; Cawthon, R. Monthly Notices of the Royal Astronomical Society, Vol. 456, Issue 3 https://doi.org/10.1093/mnras/stv2678	journal	January 2016
Probing gravity at large scales through CMB lensing Pullen, Anthony R.; Alam, Shadab; Ho, Shirley arXiv https://doi.org/10.48550/arxiv.1412.4454	text	January 2014
Planck 2015 results : XV. Gravitational lensing Ade, P. A. R.; Aghanim, N.; Arnaud, M. Astronomy & Astrophysics, Vol. 594 https://doi.org/10.1051/0004-6361/201525941	journal	September 2016
Bending space–time: a commentary on Dyson, Eddington and Davidson (1920) ‘A determination of the deflection of light by the Sun's gravitational field’ Longair, Malcolm Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 373, Issue 2039 https://doi.org/10.1098/rsta.2014.0287	journal	April 2015
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