Peeling off foregrounds with the constrained moment ILC method to unveil primordial CMB $B$-modes

Abstract

Galactic foregrounds are the main obstacle to observations of the cosmic microwave background (CMB) $B$-mode polarization. In addition to obscuring the inflationary $B$-mode signal by several orders of magnitude, Galactic foregrounds have non-trivial spectral signatures that are partially unknown and distorted by averaging effects along the line-of-sight, within the pixel/beam window, and by various analysis choices (e.g., spherical harmonic transforms and filters). Statistical moment expansion methods provide a powerful tool for modeling the effective Galactic foreground emission resulting from these averaging effects in CMB observations, while blind component separation treatments can handle unknown foregrounds. In this work, we combine these two approaches to develop a new semi-blind component separation method at the intersection of parametric and blind methods, called constrained moment ILC (cMILC). This method adds several constraints to the standard ILC method to de-project the main statistical moments of the Galactic foreground emission. Applications to maps are performed in needlet space and when compared to the NILC method, this helps significantly reducing residual foreground contamination (bias, variance, and skewness) in the reconstructed CMB $B$-mode map, power spectrum, and tensor-to-scalar ratio. We consider sky-simulations for experimental settings similar to those of LiteBIRD and PICO, illustrating which trade-offs between residual foreground biases and degradation of the constraint on $r$ can be expected within the new cMILC framework. We also outline several directions that require more work in preparation for the coming analysis challenges.

arXiv comment21 pages, 11 figures, added appendix, updated to match version accepted by MNRAS

References in corpus (65)

• HEALPix -- a Framework for High Resolution Discretization, and Fast Analysis of Data Distributed on the Sphere
• BICEP2 I: Detection Of B-mode Polarization at Degree Angular Scales
• The Simons Observatory: Science goals and forecasts
• Encyclopaedia Inflationaris
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Foreground Emission
• A Joint Analysis of BICEP2/Keck Array and Planck Data
• Planck 2013 results. XI. All-sky model of thermal dust emission
• Planck 2018 results. VIII. Gravitational lensing
• MASTER of the CMB Anisotropy Power Spectrum: A Fast Method for Statistical Analysis of Large and Complex CMB Data Sets
• Mass Reconstruction with CMB Polarization
• A high resolution foreground cleaned CMB map from WMAP
• The Sunyaev-Zel'dovich angular power spectrum as a probe of cosmological parameters
• Planck 2018 results. IV. Diffuse component separation
• CMB-S4 Science Book, First Edition
• CMBPol Mission Concept Study: Probing Inflation with CMB Polarization
• A limit on the detectability of the energy scale of inflation
• Joint Bayesian component separation and CMB power spectrum estimation
• A full sky, low foreground, high resolution CMB map from WMAP
• Toward an Understanding of Foreground Emission in the BICEP2 Region
• Neutrino Physics from the Cosmic Microwave Background and Large Scale Structure
• Planck 2015 results. X. Diffuse component separation: Foreground maps
• On Foreground Removal from the Wilkinson Microwave Anisotropy Probe Data by an Internal Linear Combination Method: Limitations and Implications
• Likelihood Analysis of CMB Temperature and Polarization Power Spectra
• The Python Sky Model: software for simulating the Galactic microwave sky
• The pre-launch Planck Sky Model: a model of sky emission at submillimetre to centimetre wavelengths
• Separation of anomalous and synchrotron emissions using WMAP polarization data
• Multi-Detector Multi-Component spectral matching and applications for CMB data analysis
• CMB and SZ effect separation with Constrained Internal Linear Combinations
• Planck 2015 results. XXII. A map of the thermal Sunyaev-Zeldovich effect
• MILCA, a Modified Internal Linear Combination Algorithm to extract astrophysical emissions from multi-frequency sky maps
• Foreground component separation with generalised ILC
• Robust forecasts on fundamental physics from the foreground-obscured, gravitationally-lensed CMB polarization
• Three-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Foreground Polarization
• Rethinking CMB foregrounds: systematic extension of foreground parameterizations
• CMB Lensing Power Spectrum Biases from Galaxies and Clusters using High-angular Resolution Temperature Maps
• Delensing the CMB with the Cosmic Infrared Background
• A needlet ILC analysis of WMAP 7-year data: estimation of CMB temperature map and power spectrum
• The S-PASS view of polarized Galactic Synchrotron at 2.3 GHz as a contaminant to CMB observations
• Multi-resolution internal template cleaning: An application to the Wilkinson Microwave Anisotropy Probe 7-yr polarization data
• Sensitivity and foreground modelling for large-scale CMB B-mode polarization satellite missions
• Updated design of the CMB polarization experiment satellite LiteBIRD
• Cosmology from the Thermal Sunyaev-Zel'dovich Power Spectrum: Primordial non-Gaussianity and Massive Neutrinos
• Exploring Cosmic Origins with CORE: B-mode Component Separation
• Sunyaev-Zeldovich signal processing and temperature-velocity moment method for individual clusters
• Internal delensing of Planck CMB temperature and polarization
• Planck intermediate results. XLVIII. Disentangling Galactic dust emission and cosmic infrared background anisotropies
• Demonstration of cosmic microwave background delensing using the cosmic infrared background
• A needlet ILC analysis of WMAP 9-year polarisation data: CMB polarisation power spectra
• Bayesian delensing of CMB temperature and polarization
• Detecting Bispectral Acoustic Oscillations from Inflation Using a New Flexible Estimator
• Forecasting performance of CMB experiments in the presence of complex foreground contaminations
• All-sky component separation in the presence of anisotropic noise and dust temperature variations
• Dust-polarization maps for local interstellar turbulence
• PICO: Probe of Inflation and Cosmic Origins
• Mitigating Complex Dust Foregrounds in Future CMB Polarization Experiments
• Dust Polarization Maps from TIGRESS: E/B power asymmetry and TE correlation
• Microwave Spectro-Polarimetry of Matter and Radiation across Space and Time
• Foreground Biases on Primordial Non-Gaussianity Measurements from the CMB Temperature Bispectrum: Implications for Planck and Beyond
• Simulated forecasts for primordial B-mode searches in ground-based experiments
• Mapping the relativistic electron gas temperature across the sky
• Combining ILC and moment expansion techniques for extracting average-sky signals and CMB anisotropies
• Including massive neutrinos in thermal Sunyaev Zeldovich power spectrum and cluster counts analyses
• Dust moments: towards a new modelling of the galactic dust emission for CMB B-modes analysis
• Requirements for future CMB satellite missions: photometric and band-pass response calibration
• The CCAT-Prime Submillimeter Observatory

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• Foreground Separation and Constraints on Primordial Gravitational Waves with the PICO Space Mission
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• Tensor-to-scalar ratio forecasts for extended LiteBIRD frequency configurations
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• LiteBIRD Science Goals and Forecasts: Improving Sensitivity to Inflationary Gravitational Waves with Multitracer Delensing
• Full-sky, arcminute-scale, 3D models of Galactic microwave foreground dust emission based on filaments
• Optimization of foreground moment deprojection for semi-blind CMB polarization reconstruction
• A hybrid map-$C_{\ell }$ component separation method for primordial CMB $B$-mode searches
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• Mitigating the impact of the CIB on galaxy cluster SZ detection with spectrally constrained matched filters
• Characterizing line-of-sight variability of polarized dust emission with future CMB experiments
• Leverage on small-scale primordial non-Gaussianity through cross-correlations between CMB $E$-mode and $\mu$-distortion anisotropies
• Impact of Galactic dust non-Gaussianity on searches for B-modes from inflation
• Forecasts of CMB lensing reconstruction of AliCPT-1 from the foreground cleaned polarization data
• Constraints on the Optical Depth to Reionization from Balloon-Borne CMB Measurements
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• How bad could it be? Modelling the 3D complexity of the polarised dust signal using moment expansion
• Foreground removal with ILC methods for AliCPT-1
• Forecast of foreground cleaning strategies for AliCPT-1
• A Diffused Background from Axion-like Particles in the Microwave Sky
• Forecast of CMB TB and EB correlations for AliCPT-1
• Mitigating Bias in CMB B-modes from Foreground Cleaning Using a Moment Expansion
• Evaluation of the single-component thermal dust emission model in CMB experiments
• The Simons Observatory: Assessing the Impact of Dust Complexity on the Recovery of Primordial $B$-modes
• Blind Map Level Systematics Cleaning: A Quadratic Estimator Approach
• New probe of inflationary gravitational waves: cross-correlations of lensed primary CMB B-modes with large-scale structure
• A Constrained NILC method for CMB B mode observations
• Challenges in Cosmic Magnification Reconstruction by Magnification Response
• Galactic foreground constraints on primordial $B$-mode detection for ground-based experiments
• Deep Needlet: A CNN based full sky component separation method in Needlet space
• Forecasts of effects of beam systematics and deprojection on the third-generation ground-based cosmic microwave background experiment
• Impact of reionization history on constraining primordial gravitational waves in future all-sky cosmic microwave background experiments
• Implications of scattering for CMB foreground emission modelling
• Mitigating Cosmic Microwave Background Shadow Degradation of Tensor-to-scalar Ratio Measurements through Map-based Studies
• Relativistic SZ maps and electron gas temperature spectroscopy