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We present new methods for lensing reconstruction from CMB temperature fluctuations which have smaller mean-field and reconstruction noise bias corrections than current lensing estimators, with minimal loss of signal-to-noise. These biases…

Cosmology and Nongalactic Astrophysics · Physics 2013-10-08 Toshiya Namikawa , Duncan Hanson , Ryuichi Takahashi

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

Destriping methods for constructing maps of the Cosmic Microwave Background (CMB) anisotropies have been investigated extensively in the literature. However, their error properties have been studied in less detail. Here we present an…

Astrophysics · Physics 2009-11-10 G. Efstathiou

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

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

The measurements of the angular power spectrum of the Cosmic Microwave Background (CMB) anisotropy has proved crucial to the emergence of cosmology as a precision science in recent years. In this remarkable data rich period, the limitations…

Astrophysics · Physics 2007-05-23 Sanjit Mitra , Anand S. Sengupta , Tarun Souradeep

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 reconstruct the non-linear matter power spectrum $P(k)$ using a joint analysis of gravitational lensing of the cosmic microwave background (CMB) and lensing of galaxies. This reconstruction is motivated by the $S_8$ tension between…

Cosmology and Nongalactic Astrophysics · Physics 2025-02-11 Karen Perez Sarmiento , Alex Laguë , Mathew Madhavacheril , Bhuvnesh Jain , Blake Sherwin

We apply the iterative Expectation-Maximization algorithm (EM) to estimate the power spectrum of the CMB from multifrequency microwave maps. In addition, we are also able to provide a reconstruction of the CMB map. By assuming that the…

Astrophysics · Physics 2009-11-07 E. Martinez-Gonzalez , J. M. Diego , P. Vielva , J. Silk

One of the primary scientific targets of current and future CMB polarization experiments is the search for a stochastic background of gravity waves in the early universe. As instrumental sensitivity improves, the limiting factor will…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-20 Kendrick M. Smith , Duncan Hanson , Marilena LoVerde , Christopher M. Hirata , Oliver Zahn

Large scale structure deflects cosmic microwave background (CMB) photons. Since large angular scales in the large scale structure contribute significantly to the gravitational lensing effect, a realistic simulation of CMB lensing requires a…

Astrophysics · Physics 2009-11-13 Sudeep Das , Paul Bode

We explore the capability of measuring lensing signals in $LiteBIRD$ full-sky polarization maps. With a $30$ arcmin beam width and an impressively low polarization noise of $2.16\,\mu$K-arcmin, $LiteBIRD$ will be able to measure the…

Cosmology and Nongalactic Astrophysics · Physics 2024-06-06 A. I. Lonappan , T. Namikawa , G. Piccirilli , P. Diego-Palazuelos , M. Ruiz-Granda , M. Migliaccio , C. Baccigalupi , N. Bartolo , D. Beck , K. Benabed , A. Challinor , J. Errard , S. Farrens , A. Gruppuso , N. Krachmalnicoff , E. Martínez-González , V. Pettorino , B. Sherwin , J. Starck , P. Vielva , R. Akizawa , A. Anand , J. Aumont , R. Aurlien , S. Azzoni , M. Ballardini , A. J. Banday , R. B. Barreiro , M. Bersanelli , D. Blinov , M. Bortolami , T. Brinckmann , E. Calabrese , P. Campeti , A. Carones , F. Carralot , F. J. Casas , K. Cheung , L. Clermont , F. Columbro , G. Conenna , A. Coppolecchia , F. Cuttaia , G. D'Alessandro , P. de Bernardis , M. De Petris , S. Della Torre , E. Di Giorgi , H. K. Eriksen , F. Finelli , C. Franceschet , U. Fuskeland , G. Galloni , M. Galloway , M. Georges , M. Gerbino , M. Gervasi , R. T. Génova-Santos , T. Ghigna , S. Giardiello , C. Gimeno-Amo , E. Gjerløw , M. Hazumi , S. Henrot-Versillé , L. T. Hergt , E. Hivon , K. Kohri , E. Komatsu , L. Lamagna , M. Lattanzi , C. Leloup , M. Lembo , M. López-Caniego , G. Luzzi , J. Macias-Perez , B. Maffei , S. Masi , M. Massa , S. Matarrese , T. Matsumura , S. Micheli , A. Moggi , M. Monelli , L. Montier , G. Morgante , B. Mot , L. Mousset , R. Nagata , P. Natoli , A. Novelli , I. Obata , A. Occhiuzzi , L. Pagano , A. Paiella , D. Paoletti , G. Pascual-Cisneros , V. Pavlidou , F. Piacentini , M. Pinchera , G. Pisano , G. Polenta , G. Puglisi , M. Remazeilles , A. Ritacco , A. Rizzieri , Y. Sakurai , D. Scott , M. Shiraishi , G. Signorelli , S. L. Stever , Y. Takase , H. Tanimura , A. Tartari , K. Tassis , L. Terenzi , M. Tristram , L. Vacher , B. van Tent , I. K. Wehus , G. Weymann-Despres , M. Zannoni , Y. Zhou

We use a Quadratic Maximum Likelihood (QML) method to estimate the angular power spectrum of the cross-correlation between cosmic microwave background and large scale structure maps as well as their individual auto-spectra. We describe our…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-04 F. Schiavon , F. Finelli , A. Gruppuso , A. Marcos-Caballero , P. Vielva , R. G. Crittenden , R. B. Barreiro , E. Martinez-Gonzalez

We present the first detailed case study using quadratic estimators (QE) to diagnose and remove systematics present in observed Cosmic Microwave Background (CMB) maps. In this work we focus on the temperature to polarization leakage. We use…

Cosmology and Nongalactic Astrophysics · Physics 2021-07-13 Joel Williams , Nialh McCallum , Aditya Rotti , Daniel Thomas , Richard Battye , Michael L. Brown

We propose a method to extract the projected power spectrum of density perturbations from the distortions in the cosmic microwave background (CMB). The distortions are imprinted onto the CMB by the gravitational lensing effect and can be…

Astrophysics · Physics 2009-10-31 Uros Seljak , Matias Zaldarriaga

Estimation of the angular power spectrum of the Cosmic Microwave Background (CMB) on a small patch of sky is usually plagued by serious spectral leakage, specially when the map has a hard edge. Even on a full sky map, point source masks can…

Astrophysics · Physics 2009-11-06 Sudeep Das , Amir Hajian , David N. Spergel

Hu [Phys. Rev. D62 (2000) 043007] has presented a harmonic-space method for calculating the effects of weak gravitational lensing on the cosmic microwave background (CMB) over the full sky. Computing the lensed power spectra to first order…

Astrophysics · Physics 2009-11-07 Anthony Challinor , Gayoung Chon

We present a first internal delensing of CMB maps, both in temperature and polarization, using the public foreground-cleaned (SMICA) Planck 2015 maps. After forming quadratic estimates of the lensing potential, we use the corresponding…

Cosmology and Nongalactic Astrophysics · Physics 2017-05-24 Julien Carron , Antony Lewis , Anthony Challinor

We derive a general ansatz for optimizing pseudo-C_l estimators used to measure CMB anisotropy power spectra, and apply it to the recently-proposed pure pseudo-C_l formalism, to obtain an estimator which achieves near-optimal B-mode power…

Astrophysics · Physics 2008-11-26 Kendrick M. Smith , Matias Zaldarriaga

Un-doing the effect of gravitational lensing on the Cosmic Microwave Background (`de-lensing') is essential in shaping constraints on weak signals limited by lensing effects on the CMB, for example on a background of primordial…

Cosmology and Nongalactic Astrophysics · Physics 2025-10-24 Louis Legrand , Julien Carron
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