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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

We discuss detectability of the nonlinear growth of the large-scale structure in the cosmic microwave background (CMB) lensing. Lensing signals involved in CMB anisotropies have been measured from multiple CMB experiments, such as Atacama…

Cosmology and Nongalactic Astrophysics · Physics 2016-06-22 Toshiya Namikawa

Impacts of observational systematic errors on the lensing analysis of the cosmic microwave background (CMB) polarization are investigated by numerical simulations. We model errors of gain, angle, and pointing in observation of the CMB…

Cosmology and Nongalactic Astrophysics · Physics 2021-06-10 Ryo Nagata , Toshiya Namikawa

In the era of high precision CMB measurements, systematic effects are beginning to limit the ability to extract subtler cosmological information. The non-circularity of the experimental beam has become progressively important as CMB…

Astrophysics · Physics 2011-04-11 Tarun Souradeep , Sanjit Mitra , Anand Sengupta , Subharthi Ray , Rajib Saha

We propose a hybrid quadratic estimator to measure cross correlations between gravitational lensing of the cosmic microwave background (CMB) and differential screening effects arising from fluctuations in the electron column density, such…

Cosmology and Nongalactic Astrophysics · Physics 2019-06-12 Chang Feng , Gilbert Holder

The weak lensing effect on the cosmic microwave background (CMB) induces distortions in spatial pattern of CMB anisotropies, and statistical properties of CMB anisotropies become a weakly non-Gaussian field. We first summarize the weak…

Cosmology and Nongalactic Astrophysics · Physics 2014-03-17 Toshiya Namikawa

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

We present a cosmic microwave background (CMB) lensing map produced from a linear combination of South Pole Telescope (SPT) and \emph{Planck} temperature data. The 150 GHz temperature data from the $2500\ {\rm deg}^{2}$ SPT-SZ survey is…

Extragalactic foregrounds in Cosmic Microwave Background (CMB) temperature maps lead to significant biases in CMB lensing reconstruction if not properly accounted for. Combinations of multi-frequency data have been used to minimize the…

Cosmology and Nongalactic Astrophysics · Physics 2021-12-08 Noah Sailer , Emmanuel Schaan , Simone Ferraro , Omar Darwish , Blake Sherwin

For those angular multipoles where cosmic variance is an issue, non-Gaussianities in the Cosmic Microwave Background (CMB) anisotropies will be hard to detect. Here, we construct explicitly the best unbiased estimator for the CMB angular…

Astrophysics · Physics 2007-05-23 Alejandro Gangui

Searches for the imprint of primordial gravitational waves in degree-scale CMB $B$-mode polarisation data must account for significant contamination from gravitational lensing. Fortunately, the lensing effects can be partially removed by…

Cosmology and Nongalactic Astrophysics · Physics 2021-03-12 Antón Baleato Lizancos , Anthony Challinor , Julien Carron

In our previous study, we introduced a machine-learning technique, namely CMBFSCNN, for the removal of foreground contamination in cosmic microwave background (CMB) polarization data. This method was successfully employed on actual…

Cosmology and Nongalactic Astrophysics · Physics 2024-08-19 Ye-Peng Yan , Si-Yu Li , Guo-Jian Wang , Zirui Zhang , Jun-Qing Xia

Yes! Upcoming galaxy shear surveys have the potential to significantly improve our understanding of dark energy and neutrino mass if lensing systematics can be sufficiently controlled. The cross-correlations between the weak lensing shear,…

Cosmology and Nongalactic Astrophysics · Physics 2013-11-12 Sudeep Das , Josquin Errard , David Spergel

We present new measurements of cosmic microwave background (CMB) lensing over $9400$ sq. deg. of the sky. These lensing measurements are derived from the Atacama Cosmology Telescope (ACT) Data Release 6 (DR6) CMB dataset, which consists of…

Cosmology and Nongalactic Astrophysics · Physics 2025-12-23 Frank J. Qu , Blake D. Sherwin , Mathew S. Madhavacheril , Dongwon Han , Kevin T. Crowley , Irene Abril-Cabezas , Peter A. R. Ade , Simone Aiola , Tommy Alford , Mandana Amiri , Stefania Amodeo , Rui An , Zachary Atkins , Jason E. Austermann , Nicholas Battaglia , Elia Stefano Battistelli , James A. Beall , Rachel Bean , Benjamin Beringue , Tanay Bhandarkar , Emily Biermann , Boris Bolliet , J Richard Bond , Hongbo Cai , Erminia Calabrese , Victoria Calafut , Valentina Capalbo , Felipe Carrero , Julien Carron , Anthony Challinor , Grace E. Chesmore , Hsiao-mei Cho , Steve K. Choi , Susan E. Clark , Rodrigo Córdova Rosado , Nicholas F. Cothard , Kevin Coughlin , William Coulton , Roohi Dalal , Omar Darwish , Mark J. Devlin , Simon Dicker , Peter Doze , Cody J. Duell , Shannon M. Duff , Adriaan J. Duivenvoorden , Jo Dunkley , Rolando Dünner , Valentina Fanfani , Max Fankhanel , Gerrit Farren , Simone Ferraro , Rodrigo Freundt , Brittany Fuzia , Patricio A. Gallardo , Xavier Garrido , Vera Gluscevic , Joseph E. Golec , Yilun Guan , Mark Halpern , Ian Harrison , Matthew Hasselfield , Erin Healy , Shawn Henderson , Brandon Hensley , Carlos Hervías-Caimapo , J. Colin Hill , Gene C. Hilton , Matt Hilton , Adam D. Hincks , Renée Hložek , Shuay-Pwu Patty Ho , Zachary B. Huber , Johannes Hubmayr , Kevin M. Huffenberger , John P. Hughes , Kent Irwin , Giovanni Isopi , Hidde T. Jense , Ben Keller , Joshua Kim , Kenda Knowles , Brian J. Koopman , Arthur Kosowsky , Darby Kramer , Aleksandra Kusiak , Adrien La Posta , Alex Lague , Victoria Lakey , Eunseong Lee , Zack Li , Yaqiong Li , Michele Limon , Martine Lokken , Thibaut Louis , Marius Lungu , Niall MacCrann , Amanda MacInnis , Diego Maldonado , Felipe Maldonado , Maya Mallaby-Kay , Gabriela A. Marques , Jeff McMahon , Yogesh Mehta , Felipe Menanteau , Kavilan Moodley , Thomas W. Morris , Tony Mroczkowski , Sigurd Naess , Toshiya Namikawa , Federico Nati , Laura Newburgh , Andrina Nicola , Michael D. Niemack , Michael R. Nolta , John Orlowski-Scherer , Lyman A. Page , Shivam Pandey , Bruce Partridge , Heather Prince , Roberto Puddu , Federico Radiconi , Naomi Robertson , Felipe Rojas , Tai Sakuma , Maria Salatino , Emmanuel Schaan , Benjamin L. Schmitt , Neelima Sehgal , Shabbir Shaikh , Carlos Sierra , Jon Sievers , Cristóbal Sifón , Sara Simon , Rita Sonka , David N. Spergel , Suzanne T. Staggs , Emilie Storer , Eric R. Switzer , Niklas Tampier , Robert Thornton , Hy Trac , Jesse Treu , Carole Tucker , Joel Ulluom , Leila R. Vale , Alexander Van Engelen , Jeff Van Lanen , Joshiwa van Marrewijk , Cristian Vargas , Eve M. Vavagiakis , Kasey Wagoner , Yuhan Wang , Lukas Wenzl , Edward J. Wollack , Zhilei Xu , Fernando Zago , Kaiwen Zhang

We study the general properties of the CMB temperature four-point function, specifically its harmonic analogue the angular trispectrum, and illustrate its utility in finding optimal quadratic statistics through the weak gravitational…

Astrophysics · Physics 2009-11-06 Wayne Hu

We develop a clustering-based redshift estimation approach for CMB lensing tomography, focusing on the kernel function of the lensing galaxies. Within a linear galaxy bias framework, we derive estimators for this kernel from two-point…

Cosmology and Nongalactic Astrophysics · Physics 2025-06-26 Shun Arai , John A. Peacock , Hironao Miyatake , Atsushi J. Nishizawa

[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