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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

We present a method of lensing reconstruction on the full sky, by extending the optimal quadratic estimator proposed by Okamoto & Hu (2003) to the case including the curl mode of deflection angle. The curl mode is induced by the vector and…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-30 Toshiya Namikawa , Daisuke Yamauchi , Atsushi Taruya

We discuss the four-point correlation function, or the trispectrum in Fourier space, of CMB temperature and polarization anisotropies due to the weak gravitational lensing effect by intervening large scale structure. We discuss the squared…

Astrophysics · Physics 2009-11-07 Asantha Cooray , Michael Kesden

Gravitational lensing distorts the cosmic microwave background (CMB) anisotropies and imprints a characteristic pattern onto it. The distortions depend on the projected matter density between today and redshift $z \sim 1100$. In this paper…

Astrophysics · Physics 2016-08-25 Matias Zaldarriaga , Uros Seljak

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

We extend the pure pseudo-power-spectrum formalism proposed recently in the context of the Cosmic Microwave Background polarized power spectra estimation by Smith (2006) to incorporate cross-spectra computed for multiple maps of the same…

Cosmology and Nongalactic Astrophysics · Physics 2009-07-09 J. Grain , M. Tristram , R. Stompor

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

High-resolution ground-based solar imaging relies heavily on multi-object multi-frame blind deconvolution to correct for atmospheric turbulence. However, the traditional joint maximum likelihood estimation methods in which object and the…

Instrumentation and Methods for Astrophysics · Physics 2026-05-13 A. Asensio Ramos

We study the effects of astrophysical foregrounds on the ability of CMB B-mode polarization experiments to constrain the primordial tensor-to-scalar ratio, r. To clean the foreground contributions we use parametric, maximum likelihood…

Cosmology and Nongalactic Astrophysics · Physics 2012-04-20 Josquin Errard , Radek Stompor

Galaxy-galaxy weak lensing provides a powerful means of measuring the average matter distribution around lens galaxies -- i.e., the galaxy bias relation. Properly accounting for the spin-2 nature of weak lensing distortions, we develop a…

Cosmology and Nongalactic Astrophysics · Physics 2025-07-28 Taisei Terawaki , Masahiro Takada , Takanori Taniguchi

We present a new method to estimate shear measurement bias in image simulations that significantly improves the precision with respect to current techniques. Our method is based on measuring the shear response for individual images. We…

Cosmology and Nongalactic Astrophysics · Physics 2018-12-19 Arnau Pujol , Martin Kilbinger , Florent Sureau , Jerome Bobin

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

[Abridged] Recent results from the BICEP, Keck Array and Planck Collaborations demonstrate that Galactic foregrounds are an unavoidable obstacle in the search for evidence of inflationary gravitational waves in the cosmic microwave…

Cosmology and Nongalactic Astrophysics · Physics 2016-04-07 Josquin Errard , Stephen M. Feeney , Hiranya V. Peiris , Andrew H. Jaffe

One of the main obstacles for extracting the cosmic microwave background (CMB) signal from observations in the mm/sub-mm range is the foreground contamination by emission from Galactic component: mainly synchrotron, free-free, and thermal…

Cosmology and Nongalactic Astrophysics · Physics 2015-02-07 H. U. Nørgaard-Nielsen

Incomplete sky analysis of cosmic microwave background (CMB) polarization spectra poses a major problem of leakage between $E$- and $B$-modes. We present a machine learning approach to remove this $E$-to-$B$ leakage using a convolutional…

Cosmology and Nongalactic Astrophysics · Physics 2023-10-02 Srikanta Pal , Rajib Saha

We develop an optimal Bayesian solution for jointly inferring secondary signals in the Cosmic Microwave Background (CMB) originating from gravitational lensing and from patchy screening during the epoch of reionization. This method is able…

Cosmology and Nongalactic Astrophysics · Physics 2024-11-26 Federico Bianchini , Marius Millea

Studies of cosmic microwave background (CMB) are often limited by foreground contamination. Foreground cleaning is performed either in harmonic or pixel space after data cuts have excluded sky areas of strong contamination. We present a…

Cosmology and Nongalactic Astrophysics · Physics 2025-09-05 Hayley C. Nofi , Graeme E. Addison , Charles L. Bennett , Laura Herold , J. L. Weiland

Fast heuristically weighted, or pseudo-C_l, estimators are a frequently used method for estimating power spectra in CMB surveys with large numbers of pixels. Recently, Challinor & Chon showed that the E-B mixing in these estimators can…

Astrophysics · Physics 2011-04-11 Kendrick M. Smith

Upcoming cosmic microwave background (CMB) surveys will soon make the first detection of the polarized Sunyaev-Zel'dovich effect, the linear polarization generated by the scattering of CMB photons on the free electrons present in collapsed…

Cosmology and Nongalactic Astrophysics · Physics 2018-06-04 Joel Meyers , P. Daniel Meerburg , Alexander van Engelen , Nicholas Battaglia

In this work we examine the impact of our motion with respect to the CMB rest frame on statistics of CMB maps by examining the one-, two-, three- and four- point statistics of simulated maps of the CMB and Sunyaev-Zeldovich (SZ) effects. We…

Cosmology and Nongalactic Astrophysics · Physics 2022-04-27 William R. Coulton , Sydney Feldman , Karime Maamari , Elena Pierpaoli , Siavash Yasini , Klaus Dolag