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We investigate the effect of gravitational lensing by matter distribution in the universe on the cosmic microwave background (CMB) polarization power spectra and temperature-polarization cross-correlation spectrum. As in the case of…

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

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 large-scale CMB B-mode polarization is the direct probe to the low frequency primordial gravitational wave signal. However, unambiguous measurement of this signal requires a precise understanding of the possible contamination. One such…

Cosmology and Nongalactic Astrophysics · Physics 2019-05-06 Suvodip Mukherjee , Sourabh Paul , Tirthankar Roy Choudhury

We demonstrate that, for the baseline design of the CORE satellite mission, the polarized foregrounds can be controlled at the level required to allow the detection of the primordial cosmic microwave background (CMB) $B$-mode polarization…

Cosmology and Nongalactic Astrophysics · Physics 2019-08-13 M. Remazeilles , A. J. Banday , C. Baccigalupi , S. Basak , A. Bonaldi , G. De Zotti , J. Delabrouille , C. Dickinson , H. K. Eriksen , J. Errard , R. Fernandez-Cobos , U. Fuskeland , C. Hervías-Caimapo , M. López-Caniego , E. Martinez-González , M. Roman , P. Vielva , I. Wehus , A. Achucarro , P. Ade , R. Allison , M. Ashdown , M. Ballardini , R. Banerji , N. Bartolo , J. Bartlett , D. Baumann , M. Bersanelli , M. Bonato , J. Borrill , F. Bouchet , F. Boulanger , T. Brinckmann , M. Bucher , C. Burigana , A. Buzzelli , Z. -Y. Cai , M. Calvo , C. -S. Carvalho , G. Castellano , A. Challinor , J. Chluba , S. Clesse , I. Colantoni , A. Coppolecchia , M. Crook , G. D'Alessandro , P. de Bernardis , G. de Gasperis , J. -M. Diego , E. Di Valentino , S. Feeney , S. Ferraro , F. Finelli , F. Forastieri , S. Galli , R. Genova-Santos , M. Gerbino , J. González-Nuevo , S. Grandis , J. Greenslade , S. Hagstotz , S. Hanany , W. Handley , C. Hernandez-Monteagudo , M. Hills , E. Hivon , K. Kiiveri , T. Kisner , T. Kitching , M. Kunz , H. Kurki-Suonio , L. Lamagna , A. Lasenby , M. Lattanzi , J. Lesgourgues , A. Lewis , M. Liguori , V. Lindholm , G. Luzzi , B. Maffei , C. J. A. P. Martins , S. Masi , D. McCarthy , J. -B. Melin , A. Melchiorri , D. Molinari , A. Monfardini , P. Natoli , M. Negrello , A. Notari , A. Paiella , D. Paoletti , G. Patanchon , M. Piat , G. Pisano , L. Polastri , G. Polenta , A. Pollo , V. Poulin , M. Quartin , J. -A. Rubino-Martin , L. Salvati , A. Tartari , M. Tomasi , D. Tramonte , N. Trappe , T. Trombetti , C. Tucker , J. Valiviita , R. Van de Weijgaert , B. van Tent , V. Vennin , N. Vittorio , K. Young , M. Zannoni

The detection of the magnetic type $B$-mode polarization is the main goal of future cosmic microwave background (CMB) experiments. In the standard model, the $B$-mode map is a strongly non-gaussian field due to the lensed component. Besides…

Cosmology and Nongalactic Astrophysics · Physics 2016-07-20 Larissa Santos , Kai Wang , Wen Zhao

We reconstruct shear maps and angular power spectra from simulated weakly lensed total intensity (TT) and polarised (EB) maps of the Cosmic Microwave Background (CMB) anisotropies, obtained using Born approximated ray-tracing through the…

Cosmology and Nongalactic Astrophysics · Physics 2014-03-04 Claudia Antolini , Yabebal Fantaye , Matteo Martinelli , Carmelita Carbone , Carlo Baccigalupi

We develop a systematic and unified approach to estimate all possible secondary (i.e. non-primordial) nonlinear effects to the cosmic microwave background (CMB) polarization, named curve-of-sight integration approach. In this approach, the…

Cosmology and Nongalactic Astrophysics · Physics 2021-10-20 Toshiya Namikawa , Atsushi Naruko , Ryo Saito , Atsushi Taruya , Daisuke Yamauchi

We evaluate our capability to constrain the abundance of primordial tensor perturbations in cosmologies with generalized expansion histories in the epoch of cosmic acceleration. Forthcoming satellite and sub-orbital experiments probing…

Cosmology and Nongalactic Astrophysics · Physics 2014-02-25 Claudia Antolini , Matteo Martinelli , Yabebal Fantaye , Carlo Baccigalupi

By decomposing the CMB temperature fluctuations \emph{squared} into spherical harmonics, we can define the \emph{CMB power multipoles} as the fundamental observables to quantify any generic modulations in the CMB. This allows for simple…

Cosmology and Nongalactic Astrophysics · Physics 2014-01-09 Lingfei Wang

The polarization of the Cosmic Microwave Background (CMB) radiation carries essential information on early stages of the Universe such as the cosmic inflation, forming cosmological structures through gravitational lensing, and the epoch of…

Cosmology and Nongalactic Astrophysics · Physics 2024-02-22 E. Carretti , C. Baccigalupi

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 investigate which practical constraints are imposed by foregrounds to the detection of the B-mode polarization generated by gravitational waves in the case of experiments of the type currently being planned. Because the B-mode signal is…

Astrophysics · Physics 2009-11-10 M. Tucci , E. Martinez-Gonzalez , P. Vielva , J. Delabrouille

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

The cosmic microwave background (CMB) stands as a pivotal source for studying weak gravitational lensing. While the lensed CMB aids in constraining cosmological parameters, it simultaneously smooths the original CMB's features. The angular…

Cosmology and Nongalactic Astrophysics · Physics 2025-12-17 Shulei Ni , Yichao Li , Xin Zhang

In this paper, we revisit the weak gravitational lensing of CMB. The key point is that the deflection angle of CMB photon varies with the redshift. From this we obtain a set of modified power spectra. Compared with the ones calculated…

Cosmology and Nongalactic Astrophysics · Physics 2011-02-11 B. Yu , T. Lu

In the current era of high-precision CMB experiments, the imprint of gravitational lensing on the CMB temperature is exploited as a source of valuable information. Especially the reconstruction of the lensing potential power spectrum is of…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-05 Philipp M. Merkel , Bjoern Malte Schaefer

Precise reconstruction of the cosmic microwave background lensing potential can be achieved with deep polarization surveys by iteratively removing lensing-induced $B$ modes. We introduce a lensing spectrum estimator and its likelihood for…

Cosmology and Nongalactic Astrophysics · Physics 2022-12-13 Louis Legrand , Julien Carron

We report an improved measurement of the cosmic microwave background (CMB) $B$-mode polarization power spectrum with the POLARBEAR experiment at 150 GHz. By adding new data collected during the second season of observations (2013-2014) to…

At linear order the only expected source of a curl-like, B mode, polarization pattern in the cosmic microwave background (CMB) is primordial gravitational waves. At second-order B modes are also produced from purely scalar, density, initial…

Cosmology and Nongalactic Astrophysics · Physics 2021-12-01 William R. Coulton