Statistical imprints of CMB B-type polarization leakage in an incomplete sky survey analysis
arXiv:1612.03564 · doi:10.1088/1475-7516/2017/01/043
Abstract
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 sources, including cosmic weak lensing, foreground radiations, instrumental noises, as well as the E-to-B leakage caused by the partial sky surveys, which should be well understood to avoid the misinterpretation of the observed data. In this paper, we adopt the E/B decomposition method suggested by Smith in 2006, and study the imprints of E-to-B leakage residuals in the constructed B-type polarization maps, , by employing various statistical tools. We find that the effects of E-to-B leakage are negligible for the -mode power spectrum, as well as the skewness and kurtosis analyses of -maps. However, if employing the morphological statistical tools, including Minkowski functionals and/or Betti numbers, we find the effect of leakage can be detected at very high confidence level, which shows that in the morphological analysis, the leakage can play a significant role as a contaminant for measuring the primordial B-mode signal and must be taken into account for a correct explanation of the data.
References in corpus (81)
- First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters
- Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
- Planck 2013 results. XVI. Cosmological parameters
- HEALPix -- a Framework for High Resolution Discretization, and Fast Analysis of Data Distributed on the Sphere
- Nine-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Parameter Results
- Efficient Computation of CMB anisotropies in closed FRW models
- A Line of Sight Approach to Cosmic Microwave Background Anisotropies
- Particle Physics Models of Inflation and the Cosmological Density Perturbation
- Planck 2013 results. I. Overview of products and scientific results
- BICEP2 I: Detection Of B-mode Polarization at Degree Angular Scales
- An All-Sky Analysis of Polarization in the Microwave Background
- Weak Gravitational Lensing of the CMB
- Statistics of Cosmic Microwave Background Polarization
- A Joint Analysis of BICEP2/Keck Array and Planck Data
- Signature of Gravity Waves in Polarization of the Microwave Background
- Planck 2015 results. XI. CMB power spectra, likelihoods, and robustness of parameters
- The Primordial Inflation Explorer (PIXIE): A Nulling Polarimeter for Cosmic Microwave Background Observations
- BICEP2 / Keck Array VI: Improved Constraints On Cosmology and Foregrounds When Adding 95 GHz Data From Keck Array
- Mass Reconstruction with CMB Polarization
- Gravitational Lensing Effect on Cosmic Microwave Background Polarization
- CMB Lensing Reconstruction on the Full Sky
- Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Galactic Foreground Emission
- Planck intermediate results. XIX. An overview of the polarized thermal emission from Galactic dust
- Mission design of LiteBIRD
- Reconstruction of lensing from the cosmic microwave background polarization
- Detection of B-mode Polarization in the Cosmic Microwave Background with Data from the South Pole Telescope
- CMBPol Mission Concept Study: Probing Inflation with CMB Polarization
- A Measurement of the Cosmic Microwave Background B-Mode Polarization Power Spectrum at Sub-Degree Scales with POLARBEAR
- Planck 2015 results. X. Diffuse component separation: Foreground maps
- Gravitational lensing as a contaminant of the gravity wave signal in CMB
- Minkowski Functionals used in the Morphological Analysis of Cosmic Microwave Background Anisotropy Maps
- Myths and Truths Concerning Estimation of Power Spectra
- Dark Synergy: Gravitational Lensing and the CMB
- Planck intermediate results. XXX. The angular power spectrum of polarized dust emission at intermediate and high Galactic latitudes
- Beyond genus statistics: a unifying approach to the morphology of cosmic structure
- The shape of the CMB lensing bispectrum
- Cosmic Microwave Background Fluctuations from Gravitational Waves: An Analytic Approach
- The Atacama Cosmology Telescope: CMB Polarization at
- Robust Morphological Measures for Large-Scale Structure in the Universe
- Delensing CMB Polarization with External Datasets
- E/B decomposition of finite pixelized CMB maps
- Lensed CMB simulation and parameter estimation
- Robust forecasts on fundamental physics from the foreground-obscured, gravitationally-lensed CMB polarization
- Primordial Non-Gaussianity and Analytical Formula for Minkowski Functionals of the Cosmic Microwave Background and Large-scale Structure
- COrE (Cosmic Origins Explorer) A White Paper
- Measurements of Sub-degree B-mode Polarization in the Cosmic Microwave Background from 100 Square Degrees of SPTpol Data
- Limits on Primordial Non-Gaussianity from Minkowski Functionals of the WMAP Temperature Anisotropies
- Delensing the CMB with the Cosmic Infrared Background
- Pseudo- estimators which do not mix E and B modes
- BICEP2 / Keck Array V: Measurements of B-mode Polarization at Degree Angular Scales and 150 GHz by the Keck Array
- Non-Gaussian statistics of critical sets in 2 and 3D: Peaks, voids, saddles, genus and skeleton
- Polarized CMB power spectrum estimation using the pure pseudo-cross-spectrum approach
- A general solution to the E-B mixing problem
- Imprints of Relic Gravitational Waves in Cosmic Microwave Background Radiation
- CMBPol Mission Concept Study: Prospects for polarized foreground removal
- Minkowski Functional Description of Microwave Background Gaussianity
- Analytic approach to the CMB polarizations generated by relic gravitational waves
- Non Gaussianity and Minkowski Functionals: forecasts for Planck
- Error analysis of quadratic power spectrum estimates for CMB polarization: sampling covariance
- Prospects for Delensing the Cosmic Microwave Background for Studying Inflation
- Task Force on Cosmic Microwave Background Research
- Study of the Experimental Probe of Inflationary Cosmology (EPIC)-Intemediate Mission for NASA's Einstein Inflation Probe
- Harmonic E/B decomposition for CMB polarization maps
- Separating E and B types of polarization on an incomplete sky
- CMB E/B decomposition of incomplete sky: a pixel space approach
- Lensing Simulation and Power Spectrum Estimation for High Resolution CMB Polarization Maps
- Tensor Microwave Background Fluctuations for Large Multipole Order
- Detectability of CMB tensor B modes via delensing with weak lensing galaxy surveys
- Forecasting sensitivity on tilt of power spectrum of primordial gravitational waves after Planck satellite
- How to make a clean separation between CMB E and B modes with proper foreground masking
- Can we detect Hot or Cold spots in the CMB with Minkowski Functionals?
- Efficient decomposition of cosmic microwave background polarization maps into pure E, pure B, and ambiguous components
- Efficiency of pseudo-spectrum methods for estimation of Cosmic Microwave Background B-mode power spectrum
- Hot and cold spots counts as probes of non-Gaussianity in the CMB
- Probing the statistical properties of CMB -mode polarization through Minkowski Functionals
- Primordial non-Gaussian signatures in CMB polarization
- Wavelet reconstruction of E and B modes for CMB polarisation and cosmic shear analyses
- Planck intermediate results. XLI. A map of lensing-induced B-modes
- Pure E and B polarization maps via Wiener filtering
- A wavelet-Galerkin algorithm of the E/B decomposition of CMB polarization maps
- Statistics of the CMB polarised anisotropies