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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

The cross-correlation between cosmic microwave background (CMB) gravitational lensing and large-scale structure tracers will be an important cosmological probe in the coming years. Quadratic estimators provide a simple and powerful (if…

Cosmology and Nongalactic Astrophysics · Physics 2023-07-10 Giulio Fabbian , Antony Lewis , Dominic Beck

We develop a new method for reconstructing cluster mass profiles and large-scale structure from the cosmic microwave background (CMB). By analyzing the likelihood of CMB lensing, we analytically prove that standard quadratic estimators for…

Astrophysics · Physics 2008-11-26 Jaiyul Yoo , Matias Zaldarriaga

The lensing effect of the cosmic microwave background (CMB) is a powerful tool for our study of the distribution of matter in the universe. Currently, the quadratic estimator (EQ) method, which is widely used to reconstruct lensing…

Cosmology and Nongalactic Astrophysics · Physics 2023-07-26 Ye-Peng Yan , Guo-Jian Wang , Si-Yu Li , Yang-Jie Yan , Jun-Qing Xia

Cosmic microwave background (CMB) photons are deflected by large-scale structure through gravitational lensing. This secondary effect introduces higher-order correlations in CMB anisotropies, which are used to reconstruct lensing…

Cosmology and Nongalactic Astrophysics · Physics 2025-11-26 M. Ruiz-Granda , P. Diego-Palazuelos , C. Gimeno-Amo , P. Vielva , A. I. Lonappan , T. Namikawa , R. T. Génova-Santos , M. Lembo , R. Nagata , M. Remazeilles , D. Adak , E. Allys , A. Anand , J. Aumont , C. Baccigalupi , M. Ballardini , A. J. Banday , R. B. Barreiro , N. Bartolo , S. Basak , M. Bersanelli , A. Besnard , D. Blinov , M. Bortolami , F. Bouchet , T. Brinckmann , F. Cacciotti , E. Calabrese , P. Campeti , A. Carones , F. J. Casas , K. Cheung , M. Citran , L. Clermont , F. Columbro , A. Coppolecchia , P. de Bernardis , T. de Haan , E. de la Hoz , M. De Lucia , S. Della Torre , E. Di Giorgi , H. K. Eriksen , F. Finelli , C. Franceschet , U. Fuskeland , G. Galloni , M. Galloway , M. Gervasi , T. Ghigna , S. Giardiello , A. Gruppuso , M. Hazumi , L. T. Hergt , E. Hivon , K. Ichiki , H. Jiang , B. Jost , K. Kohri , L. Lamagna , M. Lattanzi , C. Leloup , F. Levrier , M. López-Caniego , G. Luzzi , J. Macias-Perez , V. Maranchery , E. Martínez-González , S. Masi , S. Matarrese , T. Matsumura , S. Micheli , M. Monelli , L. Montier , G. Morgante , M. Najafi , A. Novelli , F. Noviello , I. Obata , A. Occhiuzzi , A. Paiella , D. Paoletti , G. Pascual-Cisneros , F. Piacentini , G. Piccirilli , G. Polenta , L. Porcelli , N. Raffuzzi , A. Rizzieri , J. A. Rubiño-Martín , Y. Sakurai , J. Sanghavi , D. Scott , M. Shiraishi , G. Signorelli , R. M. Sullivan , Y. Takase , L. Terenzi , M. Tomasi , M. Tristram , L. Vacher , B. van Tent , I. K. Wehus , G. Weymann-Despres , Y. Zhou

We are presenting an Internal Linear Combination (ILC) CMB map, in which the foreground is reduced through harmonic variance minimization. We have derived our method by converting a general form of pixel-space approach into spherical…

Astrophysics · Physics 2009-09-29 Jaiseung Kim , Pavel Naselsky , Per Rex Christensen

Gravitational lensing deflects the paths of cosmic infrared background (CIB) photons, leaving a measurable imprint on CIB maps. The resulting statistical anisotropy can be used to reconstruct the matter distribution out to the redshifts of…

Cosmology and Nongalactic Astrophysics · Physics 2018-07-04 Emmanuel Schaan , Simone Ferraro , David N. Spergel

The power spectrum of cosmic microwave background (CMB) lensing will be measured to sub-percent precision with upcoming surveys, enabling tight constraints on the sum of neutrino masses and other cosmological parameters. Measuring the…

Cosmology and Nongalactic Astrophysics · Physics 2021-11-18 Mathew S. Madhavacheril , Kendrick M. Smith , Blake D. Sherwin , Sigurd Naess

We propose a novel bias-free method for reconstructing the power spectrum of the weak lensing deflection field from cosmic microwave background (CMB) observations. The proposed method is in contrast to the standard method of CMB lensing…

Cosmology and Nongalactic Astrophysics · Physics 2010-11-30 Blake D. Sherwin , Sudeep Das

The Cosmic Microwave Background (CMB) is a fundamental observational tool in modern cosmology. The linear polarization of the CMB provides a crucial observational tool for exploring new physics, including the inflationary paradigm and…

Cosmology and Nongalactic Astrophysics · Physics 2025-03-12 Vyoma Muralidhara

We evaluate the ability of future cosmic microwave background (CMB) experiments to measure the power spectrum of large scale structure using quadratic estimators of the weak lensing deflection field. We calculate the sensitivity of upcoming…

Astrophysics · Physics 2009-11-13 Julien Lesgourgues , Laurence Perotto , Sergio Pastor , Michel Piat

CMB and lensing reconstruction power spectra are powerful probes of cosmology. However they are correlated, since the CMB power spectra are lensed and the lensing reconstruction is constructed using CMB multipoles. We perform a full…

Cosmology and Nongalactic Astrophysics · Physics 2017-03-20 Julien Peloton , Marcel Schmittfull , Antony Lewis , Julien Carron , Oliver Zahn

We present the results of a search for gravitational lensing of the cosmic microwave background (CMB) in cross-correlation with the projected density of luminous red galaxies (LRGs). The CMB lensing reconstruction is performed using the…

Weak lensing distortion of the background cosmic microwave background (CMB) temperature and polarization patterns by the foreground density fluctuations is well studied in the literature. We discuss the gravitational lensing modification to…

Astrophysics · Physics 2009-11-11 Chao Li , Asantha Cooray

Gravitational lensing of the cosmic microwave background by large-scale structure in the late universe is both a source of cosmological information and a potential contaminant of primordial gravity waves. Because lensing imprints growth of…

We present a method to measure the small-scale matter power spectrum using high-resolution measurements of the gravitational lensing of the Cosmic Microwave Background (CMB). To determine whether small-scale structure today is suppressed on…

Cosmology and Nongalactic Astrophysics · Physics 2019-01-16 Ho Nam Nguyen , Neelima Sehgal , Mathew Madhavacheril

We develop a method for calculating the correlation structure of the Cosmic Microwave Background (CMB) using Feynman diagrams, when the CMB has been modified by gravitational lensing, Faraday rotation, patchy reionization, or other…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-19 Elizabeth E. Jenkins , Aneesh V. Manohar , Wouter J. Waalewijn , Amit P. S. Yadav

Measurements of weak gravitational lensing using the cosmic microwave background and the shapes of galaxies have refined our understanding of the late-time history of the Universe. While optical surveys have been the primary source for…

Cosmology and Nongalactic Astrophysics · Physics 2024-12-20 Alba Kalaja , Ian Harrison , William R Coulton

We present a measurement of gravitational lensing over 1500 deg$^2$ of the Southern sky using SPT-3G temperature data at 95 and 150 GHz taken in 2018. The lensing amplitude relative to a fiducial Planck 2018 $\Lambda$CDM cosmology is found…

Cosmology and Nongalactic Astrophysics · Physics 2024-01-31 Z. Pan , F. Bianchini , W. L. K. Wu , P. A. R. Ade , Z. Ahmed , E. Anderes , A. J. Anderson , B. Ansarinejad , M. Archipley , K. Aylor , L. Balkenhol , P. S. Barry , R. Basu Thakur , K. Benabed , A. N. Bender , B. A. Benson , L. E. Bleem , F. R. Bouchet , L. Bryant , K. Byrum , E. Camphuis , J. E. Carlstrom , F. W. Carter , T. W. Cecil , C. L. Chang , P. Chaubal , G. Chen , P. M. Chichura , H. -M. Cho , T. -L. Chou , J. -F. Cliche , A. Coerver , T. M. Crawford , A. Cukierman , C. Daley , T. de Haan , E. V. Denison , K. R. Dibert , J. Ding , M. A. Dobbs , A. Doussot , D. Dutcher , W. Everett , C. Feng , K. R. Ferguson , K. Fichman , A. Foster , J. Fu , S. Galli , A. E. Gambrel , R. W. Gardner , F. Ge , N. Goeckner-Wald , R. Gualtieri , F. Guidi , S. Guns , N. Gupta , N. W. Halverson , A. H. Harke-Hosemann , N. L. Harrington , J. W. Henning , G. C. Hilton , E. Hivon , G. P. Holder , W. L. Holzapfel , J. C. Hood , D. Howe , N. Huang , K. D. Irwin , O. Jeong , M. Jonas , A. Jones , F. Kéruzoré , T. S. Khaire , L. Knox , A. M. Kofman , M. Korman , D. L. Kubik , S. Kuhlmann , C. -L. Kuo , A. T. Lee , E. M. Leitch , K. Levy , A. E. Lowitz , C. Lu , A. Maniyar , F. Menanteau , S. S. Meyer , D. Michalik , M. Millea , J. Montgomery , A. Nadolski , Y. Nakato , T. Natoli , H. Nguyen , G. I. Noble , V. Novosad , Y. Omori , S. Padin , P. Paschos , J. Pearson , C. M. Posada , K. Prabhu , W. Quan , S. Raghunathan , M. Rahimi , A. Rahlin , C. L. Reichardt , D. Riebel , B. Riedel , J. E. Ruhl , J. T. Sayre , E. Schiappucci , E. Shirokoff , G. Smecher , J. A. Sobrin , A. A. Stark , J. Stephen , K. T. Story , A. Suzuki , S. Takakura , C. Tandoi , K. L. Thompson , B. Thorne , C. Trendafilova , C. Tucker , C. Umilta , L. R. Vale , K. Vanderlinde , J. D. Vieira , G. Wang , N. Whitehorn , V. Yefremenko , K. W. Yoon , M. R. Young , J. A. Zebrowski

We analyze the possibility of delensing CMB polarization maps using foreground weak lensing (WL) information. We build an estimator of the CMB lensing potential out of optimally combined projected potential estimators to different source…

Astrophysics · Physics 2008-11-26 Laura Marian , Gary M. Bernstein