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Related papers: BICEP2 / Keck Array VII: Matrix based E/B Separati…

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We derive full-sky, real-space operators that convert between polarization Stokes Q/U parameters and the coordinate-independent scalar E/B modes that are widely used in Cosmic Microwave Background (CMB) and cosmic shear analysis. We also…

Cosmology and Nongalactic Astrophysics · Physics 2019-01-30 Aditya Rotti , Kevin Huffenberger

One of the main goals of modern cosmology is to search for primordial gravitational waves by looking on their imprints in the B-type polarization in the cosmic microwave background radiation. However, this signal is contaminated by various…

Cosmology and Nongalactic Astrophysics · Physics 2017-01-25 Larissa Santos , Kai Wang , Yangrui Hu , Wenjuan Fang , Wen Zhao

The BICEP/Keck Array experiment is a series of small-aperture refracting telescopes observing degree-scale Cosmic Microwave Background polarization from the South Pole in search of a primordial $B$-mode signature. As a pair differencing…

In observation of the cosmic microwave background (CMB) polarization, "$EB$~leakage" refers to the artificial $B$-mode signal coming from the leakage of $E$-mode signal when part of the sky is unavailable or excluded. Correction of such…

Cosmology and Nongalactic Astrophysics · Physics 2019-07-31 Hao Liu , James Creswell , Sebastian von Hausegger , Pavel Naselsky

The most convincing confirmation that the B-mode polarization signal detected at degree scales by BICEP2 is due to the Cosmic Microwave Background (CMB) would be the measurement of its large-scale counterpart. We assess the requirements for…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-22 A. Bonaldi , S. Ricciardi , M. L. Brown

The cosmic microwave background polarization is rich of cosmological information complementary to those from temperature anisotropies. Linear polarization can be decomposed uniquely in two components of opposite parities, called E and B.…

Astrophysics · Physics 2007-05-23 C. Rosset , the PLANCK-HFI Collaboration

Better understanding of Galactic foregrounds is one of the main obstacles to detection of primordial gravitational waves through measurement of the B mode in the polarized microwave sky. We generalize the method proposed in…

Cosmology and Nongalactic Astrophysics · Physics 2018-11-09 Hao Liu , James Creswell , Pavel Naselsky

We investigate the detectability of the primordial CMB polarization B-mode power spectrum on large scales in the presence of instrumental noise and realistic foreground contamination. We have worked out a method to estimate the errors on…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-27 A. Bonaldi , S. Ricciardi

E to B mixing or "leakage" due to time-ordered data (TOD) filtering has become an important source of sensitivity loss that ground-based cosmic microwave background polarization experiments must address. However, it is a difficult problem…

Cosmology and Nongalactic Astrophysics · Physics 2025-02-20 Yuyang Zhou , Adrian Lee , Yuji Chinone

The detection of B-modes in the CMB polarization pattern is a major issue in modern cosmology and must therefore be handled with analytical methods that produce reliable results. We describe a method that uses the frequency dependency of…

Foreground masking and incomplete sky coverage complicate CMB polarization analyses by inducing mode coupling and imperfect E/B separation, with particularly strong impact on searches for primordial $B$-modes. We present SkyReconNet-P, a…

Cosmology and Nongalactic Astrophysics · Physics 2026-02-17 Reyhan D. Lambaga , Vipin Sudevan , Pisin Chen

The full sky cosmic microwave background polarization field can be decomposed into 'electric' and 'magnetic' components. Working in harmonic space we construct window functions that allow clean separation of the electric and magnetic modes…

Astrophysics · Physics 2009-11-06 Antony Lewis , Anthony Challinor , Neil Turok

In this work, we point out that the Q/U Stokes parameters and E/B mode polarizations are the four components of a unique quaternion, which describes at the same time the directions and the parity states of spherical linear polarizations. We…

Cosmology and Nongalactic Astrophysics · Physics 2022-04-12 Hao Liu , James Creswell , Chao-Wei Tsai , Pavel Naselsky

A linear polarization field on a surface is expressed in terms of scalar functions, providing an invariant separation into two components; one of these is the B mode, important as a signature of primordial gravitational waves, which would…

General Relativity and Quantum Cosmology · Physics 2019-12-02 Jack Kwok , King Lau , Edward Young , Kenneth Young

Estimation of the B-mode angular power spectrum of polarized anisotropies of the cosmic microwave background (CMB) is a key step towards a full exploitation of the scientific potential of this probe. In the context of pseudo-spectrum…

Cosmology and Nongalactic Astrophysics · Physics 2013-09-05 A. Ferte , J. Grain , M. Tristram , R. Stompor

The anisotropies of the B-mode polarization in the cosmic microwave background radiation play a crucial role for the study of the very early Universe. However, in the real observation, the mixture of the E-mode and B-mode can be caused by…

Cosmology and Nongalactic Astrophysics · Physics 2016-05-19 Yi-Fan Wang , Kai Wang , Wen Zhao

We present efficient algorithms for CMB lensing simulation and power spectrum es- timation for flat-sky CMB polarization maps. We build a pure B-mode estimator to remedy E to B leakage due to partial sky coverage. We show that our…

Cosmology and Nongalactic Astrophysics · Physics 2013-11-14 Thibaut Louis , Sigurd Næss , Sudeep Das , Joanna Dunkley , Blake Sherwin

We present Spin-SILC, a new foreground component separation method that accurately extracts the cosmic microwave background (CMB) polarisation $E$ and $B$ modes from raw multifrequency Stokes $Q$ and $U$ measurements of the microwave sky.…

Cosmology and Nongalactic Astrophysics · Physics 2016-10-24 Keir K. Rogers , Hiranya V. Peiris , Boris Leistedt , Jason D. McEwen , Andrew Pontzen

We examine the statistical properties of polarization maps from Planck 2018 within the patch of sky observed by the BICEP2/Keck experiment using the one point distribution function (1PDF), skewness, and kurtosis statistics. Our analysis is…

Cosmology and Nongalactic Astrophysics · Physics 2020-06-17 Hao Liu , James Creswell , Pavel Naselsky