Detectability of Galactic Faraday Rotation in Multi-wavelength CMB Observations: A Cross-Correlation Analysis of CMB and Radio Maps

Abstract

We introduce a new cross-correlation method to detect and verify the astrophysical origin of Faraday Rotation (FR) in multiwavelength surveys. FR is well studied in radio astronomy from radio point sources but the ${\lambda }^2$ suppression of FR makes detecting and accounting for this effect difficult at millimeter and sub-millimeter wavelengths. Therefore statistical methods are used to attempt to detect FR in the cosmic microwave background (CMB). Most estimators of the FR power spectrum rely on single frequency data. In contrast, we investigate the correlation of polarized CMB maps with FR measure maps from radio point sources. We show a factor of $\sim 30$ increase in sensitivity over single frequency estimators and predict detections exceeding $10\sigma$ significance for a CMB-S4 like experiment. Improvements in observations of FR from current and future radio polarization surveys will greatly increase the usefulness of this method.

arXiv comment11 pages, 5 figures; Accepted MNRAS; Updated to match MNRAS version

References in corpus (47)

• Astropy: A Community Python Package for Astronomy
• HEALPix -- a Framework for High Resolution Discretization, and Fast Analysis of Data Distributed on the Sphere
• Efficient Computation of CMB anisotropies in closed FRW models
• Nine-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Final Maps and Results
• Weak Gravitational Lensing of the CMB
• A Joint Analysis of BICEP2/Keck Array and Planck Data
• MASTER of the CMB Anisotropy Power Spectrum: A Fast Method for Statistical Analysis of Large and Complex CMB Data Sets
• Cosmological Signature of New Parity-Violating Interactions
• CMB power spectrum parameter degeneracies in the era of precision cosmology
• Planck intermediate results. XIX. An overview of the polarized thermal emission from Galactic dust
• Detection of B-mode Polarization in the Cosmic Microwave Background with Data from the South Pole Telescope
• GLEAM: The GaLactic and Extragalactic All-sky MWA survey
• 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
• Faraday Rotation of Microwave Background Polarization by a Primordial Magnetic Field
• Estimating extragalactic Faraday rotation
• The Atacama Cosmology Telescope: CMB Polarization at $200<\ell <9000$
• Planck 2015 results. XIX. Constraints on primordial magnetic fields
• Planck intermediate results. XX. Comparison of polarized thermal emission from Galactic dust with simulations of MHD turbulence
• Galactic synchrotron emission with cosmic ray propagation models
• Calibrating High-Precision Faraday Rotation Measurements for LOFAR and the Next Generation of Low-Frequency Radio Telescopes
• CLASS: The Cosmology Large Angular Scale Surveyor
• Faraday Rotation of the Cosmic Microwave Background Polarization by a Stochastic Magnetic Field
• Measurements of Sub-degree B-mode Polarization in the Cosmic Microwave Background from 100 Square Degrees of SPTpol Data
• How to De-Rotate the Cosmic Microwave Background Polarization
• BICEP2 / Keck Array V: Measurements of B-mode Polarization at Degree Angular Scales and 150 GHz by the Keck Array
• Planck 2015 results. XXV. Diffuse low-frequency Galactic foregrounds
• Precision Epoch of Reionization studies with next-generation CMB experiments
• A 189 MHz, 2400 square degree polarization survey with the Murchison Widefield Array 32-element prototype
• POLARBEAR Constraints on Cosmic Birefringence and Primordial Magnetic Fields
• SPIDER: Probing the Early Universe with a Suborbital Polarimeter
• De-Rotation of the Cosmic Microwave Background Polarization: Full-Sky Formalism
• BICEP3: a 95 GHz refracting telescope for degree-scale CMB polarization
• The Atacama Cosmology Telescope: Lensing of CMB Temperature and Polarization Derived from Cosmic Infrared Background Cross-Correlation
• Low frequency observations of linearly polarized structures in the interstellar medium near the south Galactic pole
• B polarization of the CMB from Faraday rotation
• Unbiased Estimation of an Angular Power Spectrum
• Constraining a spatially dependent rotation of the Cosmic Microwave Background Polarization
• Depolarization of the cosmic microwave background by a primordial magnetic field and its effect upon temperature anisotropy
• The QUIET Instrument
• Modelling and simulation of large-scale polarized dust emission over the southern Galactic cap using the GASS HI data
• CMB Faraday rotation as seen through the Milky Way
• Searching for primordial magnetism with multi-frequency CMB experiments
• Faraday Rotation as a Diagnostic of Galactic Foreground Contamination of CMB Maps
• An Analysis of the VLASS Proposal
• Galactic foregrounds and CMB polarization
• Secondary B-mode polarization from Faraday rotation in clusters and galaxies