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We use the large cosmological Millennium Simulation (MS) to construct the first all-sky maps of the lensing potential and the deflection angle, aiming at gravitational lensing of the CMB, with the goal of properly including small-scale…

Forthcoming high-resolution observations of the Cosmic Microwave Background (CMB) radiation will generate datasets many orders of magnitude larger than have been obtained to date. The size and complexity of such datasets presents a very…

Astrophysics · Physics 2016-08-25 Julian Borrill

With the temperature power spectrum of the cosmic microwave background (CMB) at least four orders of magnitude larger than the B-mode polarisation power spectrum, any instrumental imperfections that couple temperature to polarisation must…

Cosmology and Nongalactic Astrophysics · Physics 2017-02-22 Christopher G. R. Wallis , A. Bonaldi , Michael L. Brown , Richard A. Battye

The detection of primordial B-modes, a key probe of cosmic inflation, is increasingly challenged by contamination from weak gravitational lensing B-modes induced by large-scale structure (LSS). We present a delensing pipeline designed to…

Cosmology and Nongalactic Astrophysics · Physics 2025-11-27 Wen-Zheng Chen , Yang Liu , Yi-Ming Wang , Hong Li

We describe a sampling method to estimate the polarized CMB signal from observed maps of the sky. We use a Metropolis-within-Gibbs algorithm to estimate the polarized CMB map, containing Q and U Stokes parameters at each pixel, and its…

Future Cosmic Microwave Background (CMB) satellite missions aim at using the B-mode polarisation signal to measure the tensor-to-scalar ratio $r$ with a sensitivity $\sigma(r)$ of the order of $\leq 10^{-3}$. Small uncertainties in the…

Instrumentation and Methods for Astrophysics · Physics 2019-08-07 Ranajoy Banerji , Guillaume Patanchon , Jacques Delabrouille , Masashi Hazumi , Duc Thuong Hoang , Hirokazu Ishino , Tomotake Matsumura

In this article we present a formalism to incorporate the partial-sky maps to the Gibbs ILC algorithm to estimate the joint posterior density of the Cosmic Microwave Background (CMB) signal and the theoretical CMB angular power spectrum…

Cosmology and Nongalactic Astrophysics · Physics 2022-09-14 Vipin Sudevan , Ujjal Purkayastha , Rajib Saha

We present a new method for multi-component power spectra estimation in multi-frequency observations of the CMB. Our method is based on matching a model to the cross and auto power spectra of observed maps. All the component power spectra…

Astrophysics · Physics 2015-06-24 Guillaume Patanchon

The search for primordial $B$-mode polarization of the CMB is limited by the sample variance of $B$-modes produced at later times by gravitational lensing. Constraints can be improved by `delensing': using some proxy of the matter…

Cosmology and Nongalactic Astrophysics · Physics 2023-01-24 Antón Baleato Lizancos , Simone Ferraro

The Quadratic Maximum Likelihood estimator can be used to reconstruct the Cosmic Microwave Background (CMB) power spectra with minimal error bars. Still, it requires an accurate estimate of the datasets noise covariance matrix in order to…

Cosmology and Nongalactic Astrophysics · Physics 2018-11-28 S. Vanneste , S. Henrot-Versillé , T. Louis , M. Tristram

To study the early Universe, it is essential to estimate cosmological parameters with high accuracy, which depends on the optimal reconstruction of Cosmic Microwave Background (CMB) maps and the measurement of their power spectrum. In this…

Cosmology and Nongalactic Astrophysics · Physics 2025-06-10 Belén Costanza , Claudia G. Scóccola , Matías Zaldarriaga

We present a method designed to estimate the noise power spectrum in the time domain for CMB experiments. The noise power spectrum is extracted from the time ordered data avoiding the contamination coming from sky signal and accounting the…

Astrophysics · Physics 2009-11-10 Alexandre Amblard , Jean-Christophe Hamilton

Pseudo-$C_\ell$ quadratic estimators for CMB temperature and polarization power spectra have been used in the analysis pipelines of many CMB experiments, such as WMAP and Boomerang. In the polarization case, these estimators mix E and B…

Astrophysics · Physics 2011-05-12 Kendrick M. Smith

Fast robust methods for calculating likelihoods from CMB observations on small scales generally rely on approximations based on a set of power spectrum estimators and their covariances. We investigate the optimality of these approximation,…

Cosmology and Nongalactic Astrophysics · Physics 2009-11-06 Samira Hamimeche , Antony Lewis

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 explore a novel analysis framework for parameter inference with large-scale CMB polarization data. Our method uses simulation-based inference combined with the needlet internal linear combination (NILC) algorithm and…

Cosmology and Nongalactic Astrophysics · Physics 2025-12-19 Adriaan J. Duivenvoorden , Kristen Surrao , Adrian E. Bayer , Alexandre E. Adler , Nadia Dachlythra , Susanna Azzoni , J. Colin Hill

The Internal Linear Combination (ILC) is widely used to extract the cosmic microwave background (CMB) signal from multi-frequency observation maps, especially for Satellite experiments with quasi-full sky coverage. We extend ILC method to…

Cosmology and Nongalactic Astrophysics · Physics 2022-07-29 Zirui Zhang , Yang Liu , Si-Yu Li , De-Liang Wu , Haifeng Li , Hong Li

Lensing of the CMB is now a well-developed probe of large-scale clustering over a broad range of redshifts. By exploiting the non-Gaussian imprints of lensing in the polarization of the CMB, the CORE mission can produce a clean map of the…

Cosmology and Nongalactic Astrophysics · Physics 2019-08-13 Anthony Challinor , Rupert Allison , Julien Carron , Josquin Errard , Stephen Feeney , Thomas Kitching , Julien Lesgourgues , Antony Lewis , Íñigo Zubeldía , Ana Achucarro , Peter Ade , Mark Ashdown , Mario Ballardini , A. J. Banday , Ranajoy Banerji , James Bartlett , Nicola Bartolo , Soumen Basak , Daniel Baumann , Marco Bersanelli , Anna Bonaldi , Matteo Bonato , Julian Borrill , François Bouchet , François Boulanger , Thejs Brinckmann , Martin Bucher , Carlo Burigana , Alessandro Buzzelli , Zhen-Yi Cai , Martino Calvo , Carla-Sofia Carvalho , Gabriella Castellano , Jens Chluba , Sebastien Clesse , Ivan Colantoni , Alessandro Coppolecchia , Martin Crook , Giuseppe d'Alessandro , Paolo de Bernardis , Giancarlo de Gasperis , Gianfranco De Zotti , Jacques Delabrouille , Eleonora Di Valentino , Jose-Maria Diego , Raul Fernandez-Cobos , Simone Ferraro , Fabio Finelli , Francesco Forastieri , Silvia Galli , Ricardo Genova-Santos , Martina Gerbino , Joaquin González-Nuevo , Sebastian Grandis , Joshua Greenslade , Steffen Hagstotz , Shaul Hanany , Will Handley , Carlos Hernandez-Monteagudo , Carlos Hervías-Caimapo , Matthew Hills , Eric Hivon , Kimmo Kiiveri , Ted Kisner , Martin Kunz , Hannu Kurki-Suonio , Luca Lamagna , Anthony Lasenby , Massimiliano Lattanzi , Michele Liguori , Valtteri Lindholm , Marcos López-Caniego , Gemma Luzzi , Bruno Maffei , Enrique Martinez-González , C. J. A. P. Martins , Silvia Masi , Darragh McCarthy , Alessandro Melchiorri , Jean-Baptiste Melin , Diego Molinari , Alessandro Monfardini , Paolo Natoli , Mattia Negrello , Alessio Notari , Alessandro Paiella , Daniela Paoletti , Guillaume Patanchon , Michel Piat , Giampaolo Pisano , Linda Polastri , Gianluca Polenta , Agnieszka Pollo , Vivian Poulin , Miguel Quartin , Mathieu Remazeilles , Matthieu Roman , Jose-Alberto Rubino-Martin , Laura Salvati , Andrea Tartari , Maurizio Tomasi , Denis Tramonte , Neil Trappe , Tiziana Trombetti , Carole Tucker , Jussi Valiviita , Rien Van de Weijgaert , Bartjan van Tent , Vincent Vennin , Patricio Vielva , Nicola Vittorio , Karl Young , Mario Zannoni

Most cosmic microwave background experiments observe the sky along circular or near-circular scans on the celestial sphere. For such experiments, we show that simple linear systems connect the Fourier spectra of temperature and polarization…

Cosmology and Nongalactic Astrophysics · Physics 2021-08-25 Jia-Rui Li , Chunlong Li , Jie Jiang , Yi-Fu Cai , Jacques Delabrouille , Deliang Wu , Hong Li

We discuss the derivation of the analytic properties of the cross-power spectrum estimator from multi-detector CMB anisotropy maps. The method is computationally convenient and it provides unbiased estimates under very broad assumptions. We…

Astrophysics · Physics 2007-05-23 G. Polenta , D. Marinucci , A. Balbi , P. de Bernardis , E. Hivon , S. Masi , P. Natoli , N. Vittorio