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Cosmic microwave background (CMB) lensing is an integrated effect whose kernel is greater than half the peak value in the range $1<z<5$. Measuring this effect offers a powerful tool to probe the large-scale structure of the Universe at high…

Cosmology and Nongalactic Astrophysics · Physics 2019-03-27 Toshiya Namikawa , Benjamin Bose , François R. Bouchet , Ryuichi Takahashi , Atsushi Taruya

Gravitational lensing information from the two and higher point statistics of the CMB temperature and polarization fields are intrinsically correlated because they are lensed by the same realization of structure between last scattering and…

Cosmology and Nongalactic Astrophysics · Physics 2017-03-01 Pavel Motloch , Wayne Hu , Aurélien Benoit-Lévy

Reconstruction of gravitational lensing effects in the CMB from current and upcoming surveys is still dominated by temperature anisotropies. Extragalactic foregrounds in temperature maps can induce significant biases in the lensing power…

Cosmology and Nongalactic Astrophysics · Physics 2023-09-25 Frank J. Qu , Anthony Challinor , Blake D. Sherwin

Cross-correlating the lensing signals of galaxies and comic microwave background (CMB) fluctuations is expected to provide valuable cosmological information. In particular it may help tighten constraints on parameters describing the…

Cosmology and Nongalactic Astrophysics · Physics 2017-09-14 Philipp M. Merkel , Bjoern Malte Schaefer

On the arcminute angular scales probed by Planck, the 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 217GHz frequency…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-15 Planck Collaboration , P. A. R. Ade , N. Aghanim , C. Armitage-Caplan , M. Arnaud , M. Ashdown , F. Atrio-Barandela , J. Aumont , C. Baccigalupi , A. J. Banday , R. B. Barreiro , J. G. Bartlett , S. Basak , E. Battaner , K. Benabed , A. Benoît , A. Benoit-Lévy , J. -P. Bernard , M. Bersanelli , P. Bielewicz , J. Bobin , J. J. Bock , A. Bonaldi , L. Bonavera , J. R. Bond , J. Borrill , F. R. Bouchet , M. Bridges , M. Bucher , C. Burigana , R. C. Butler , J. -F. Cardoso , A. Catalano , A. Challinor , A. Chamballu , L. -Y Chiang , H. C. Chiang , P. R. Christensen , S. Church , D. L. Clements , S. Colombi , L. P. L. Colombo , F. Couchot , A. Coulais , B. P. Crill , A. Curto , F. Cuttaia , L. Danese , R. D. Davies , R. J. Davis , P. de Bernardis , A. de Rosa , G. de Zotti , T. Déchelette , J. Delabrouille , J. -M. Delouis , F. -X. Désert , C. Dickinson , J. M. Diego , H. Dole , S. Donzelli , O. Doré , M. Douspis , J. Dunkley , X. Dupac , G. Efstathiou , T. A. Enßlin , H. K. Eriksen , F. Finelli , O. Forni , M. Frailis , E. Franceschi , S. Galeotta , K. Ganga , M. Giard , G. Giardino , Y. Giraud-Héraud , J. González-Nuevo , K. M. Górski , S. Gratton , A. Gregorio , A. Gruppuso , J. E. Gudmundsson , F. K. Hansen , D. Hanson , D. Harrison , S. Henrot-Versillé , C. Hernández-Monteagudo , D. Herranz , S. R. Hildebrandt , E. Hivon , S. Ho , M. Hobson , W. A. Holmes , A. Hornstrup , W. Hovest , K. M. Huffenberger , T. R. Jaffe , A. H. Jaffe , W. C. Jones , M. Juvela , E. Keihänen , R. Keskitalo , T. S. Kisner , R. Kneissl , J. Knoche , L. Knox , M. Kunz , H. Kurki-Suonio , G. Lagache , A. Lähteenmäki , J. -M. Lamarre , A. Lasenby , R. J. Laureijs , A. Lavabre , C. R. Lawrence , J. P. Leahy , R. Leonardi , J. León-Tavares , J. Lesgourgues , A. Lewis , M. Liguori , P. B. Lilje , M. Linden-Vørnle , M. López-Caniego , P. M. Lubin , J. F. Macías-Pérez , B. Maffei , D. Maino , N. Mandolesi , A. Mangilli , M. Maris , D. J. Marshall , P. G. Martin , E. Martínez-González , S. Masi , S. Matarrese , F. Matthai , P. Mazzotta , A. Melchiorri , L. Mendes , A. Mennella , M. Migliaccio , S. Mitra , M. -A. Miville-Deschênes , A. Moneti , L. Montier , G. Morgante , D. Mortlock , A. Moss , D. Munshi , P. Naselsky , F. Nati , P. Natoli , C. B. Netterfield , H. U. Nørgaard-Nielsen , F. Noviello , D. Novikov , I. Novikov , S. Osborne , C. A. Oxborrow , F. Paci , L. Pagano , F. Pajot , D. Paoletti , B. Partridge , F. Pasian , G. Patanchon , O. Perdereau , L. Perotto , F. Perrotta , F. Piacentini , M. Piat , E. Pierpaoli , D. Pietrobon , S. Plaszczynski , E. Pointecouteau , G. Polenta , N. Ponthieu , L. Popa , T. Poutanen , G. W. Pratt , G. Prézeau , S. Prunet , J. -L. Puget , A. R. Pullen , J. P. Rachen , R. Rebolo , M. Reinecke , M. Remazeilles , C. Renault , S. Ricciardi , T. Riller , I. Ristorcelli , G. Rocha , C. Rosset , G. Roudier , M. Rowan-Robinson , J. A. Rubiño-Martín , B. Rusholme , M. Sandri , D. Santos , G. Savini , D. Scott , M. D. Seiffert , E. P. S. Shellard , L. D. Spencer , J. -L. Starck , V. Stolyarov , R. Stompor , R. Sudiwala , R. Sunyaev , F. Sureau , D. Sutton , A. -S. Suur-Uski , J. -F. Sygnet , J. A. Tauber , D. Tavagnacco , L. Terenzi , L. Toffolatti , M. Tomasi , M. Tristram , M. Tucci , J. Tuovinen , G. Umana , L. Valenziano , J. Valiviita , B. Van Tent , P. Vielva , F. Villa , N. Vittorio , L. A. Wade , B. D. Wandelt , M. White , S. D. M. White , D. Yvon , A. Zacchei , A. Zonca

A new method for estimating the angular power spectrum C_l from cosmic microwave background (CMB) maps is presented, which has the following desirable properties: (1) It is unbeatable in the sense that no other method can measure C_l with…

Astrophysics · Physics 2009-10-07 Max Tegmark

The search for primordial gravitational waves in the Cosmic Microwave Background (CMB) will soon be limited by our ability to remove the lensing contamination to $B$-mode polarization. The often-used quadratic estimator for lensing is known…

Cosmology and Nongalactic Astrophysics · Physics 2021-01-04 Marius Millea , Ethan Anderes , Benjamin D. Wandelt

The precision anticipated from next-generation cosmic microwave background (CMB) surveys will create opportunities for characteristically new insights into cosmology. Secondary anisotropies of the CMB will have an increased importance in…

Cosmology and Nongalactic Astrophysics · Physics 2021-08-25 Eric Guzman , Joel Meyers

Lensing of the CMB generates a significant bispectrum, which should be detected by the Planck satellite at the 5-sigma level and is potentially a non-negligible source of bias for f_NL estimators of local non-Gaussianity. We extend current…

Cosmology and Nongalactic Astrophysics · Physics 2015-03-17 Antony Lewis , Anthony Challinor , Duncan Hanson

Weak gravitational lensing of the cosmic microwave background (CMB) is a powerful probe of cosmology, providing insight into structure formation and the evolution of the universe. Current and upcoming CMB experiments such as SPT-3G and the…

Cosmology and Nongalactic Astrophysics · Physics 2026-03-30 Yuka Nakato , W. L. Kimmy Wu , Ana Carolina Silva Oliveira , Yuuki Omori , Abhishek S. Maniyar

We present a new method for delensing $B$ modes of the cosmic microwave background (CMB) using a lensing potential reconstructed from the same realization of the CMB polarization (CMB internal delensing). The $B$-mode delensing is required…

Cosmology and Nongalactic Astrophysics · Physics 2017-05-31 Toshiya Namikawa

Extragalactic foregrounds in Cosmic Microwave Background (CMB) temperature maps lead to significant biases in CMB lensing reconstruction if not properly accounted for. Combinations of multi-frequency data have been used to minimize the…

Cosmology and Nongalactic Astrophysics · Physics 2021-12-08 Noah Sailer , Emmanuel Schaan , Simone Ferraro , Omar Darwish , Blake Sherwin

The Planck satellite, along with several ground based telescopes, have mapped the cosmic microwave background (CMB) at sufficient resolution and signal-to-noise so as to allow a detection of the subtle distortions due to the gravitational…

Cosmology and Nongalactic Astrophysics · Physics 2015-08-06 Ethan Anderes , Benjamin Wandelt , Guilhem Lavaux

Upcoming stage 4 surveys, such as the Simons Observatory, LSST, and Euclid, are poised to measure weak gravitational lensing of the Cosmic Microwave Background (CMB) and galaxies with unprecedented precision. While the power spectrum is the…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-07 Jonas Frugte , P. Daniel Meerburg

We demonstrate how to obtain optimal constraints on a primordial gravitational wave component in lensed Cosmic Microwave Background (CMB) data under ideal conditions. We first derive an estimator of the tensor-to-scalar ratio, $r$, by using…

Cosmology and Nongalactic Astrophysics · Physics 2019-02-20 Julien Carron

We develop a clustering-based redshift estimation approach for CMB lensing tomography, focusing on the kernel function of the lensing galaxies. Within a linear galaxy bias framework, we derive estimators for this kernel from two-point…

Cosmology and Nongalactic Astrophysics · Physics 2025-06-26 Shun Arai , John A. Peacock , Hironao Miyatake , Atsushi J. Nishizawa

Constructing a fast and efficient estimator for the B-mode power spectrum of cosmic microwave background (CMB) is of critical importance for CMB science. For a general CMB survey, the Quadratic Maximum Likelihood (QML) estimator for CMB…

Cosmology and Nongalactic Astrophysics · Physics 2021-11-17 Jiming Chen , Shamik Ghosh , Hao Liu , Larissa Santos , Wenjuan Fang , Siyu Li , Yang Liu , Hong Li , Jiaxin Wang , Le Zhang , Bin Hu , Wen Zhao

Gravitational lensing of the microwave background by the intervening dark matter mainly arises from large-angle fluctuations in the projected gravitational potential and hence offers a unique opportunity to study the physics of the dark…

Astrophysics · Physics 2011-05-12 Takemi Okamoto , Wayne Hu

Weak gravitational lensing leaves a characteristic imprint on the cosmic microwave background temperature and polarization angular power spectra. Here we investigate the possible constraints on the integrated lensing potential from future…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-13 Erminia Calabrese , Asantha Cooray , Matteo Martinelli , Alessandro Melchiorri , Luca Pagano , Anze Slosar , George F. Smoot

In recent years the goal of estimating different cosmological parameters precisely has set new challenges in the effort to accurately measure the angular power spectrum of CMB. This has required removal of foreground contamination as well…

Astrophysics · Physics 2008-11-26 Rajib Saha , Simon Prunet , Pankaj Jain , Tarun Souradeep