Searching for primordial magnetism with multi-frequency CMB experiments

Abstract

Bounds on the amplitude of a scale-invariant stochastic primordial magnetic field (PMF) can be significantly improved by measurements of the Faraday Rotation (FR) of CMB polarization. The mode-coupling correlations induced by FR make it possible to extract it from cross-correlations of the B-mode polarization with the E-mode and the temperature anisotropy. In this paper, we construct an estimator of the rotation measure that appropriately combines measurements of the FR from multiple frequency channels. We study the dependence of the signal-to-noise in the PMF detection on the resolution and the noise of the detectors, as well as the removal of the weak lensing contribution and the galactic FR. We show that a recently proposed space-based experiment PRISM can detect magnetic fields of 0.1 nano-Gauss strength at a 2 sigma level. Higher detection levels can be achieved by reducing the detector noise and improving the resolution or increasing the number of channels in the 30-70 GHz frequency range.

6 pages, 1 figure, 1 table; references added, Figure and the caption improved; matches the version accepted to MNRAS

References in corpus (7)

• Cosmic Microwave Background Statistics for a Direction-Dependent Primordial Power Spectrum
• CMB anisotropies from primordial inhomogeneous magnetic fields
• How to De-Rotate the Cosmic Microwave Background Polarization
• De-Rotation of the Cosmic Microwave Background Polarization: Full-Sky Formalism
• Faraday Rotation Limits on a Primordial Magnetic Field from WMAP Five-Year Data
• Constraining a spatially dependent rotation of the Cosmic Microwave Background Polarization
• The Evolution of the Large-Scale Tail of Primordial Magnetic Fields

Cited by in corpus (20)

• POLARBEAR Constraints on Cosmic Birefringence and Primordial Magnetic Fields
• The Atacama Cosmology Telescope: Constraints on Cosmic Birefringence
• CMB weak-lensing beyond the Born approximation: a numerical approach
• Searching for Anisotropic Cosmic Birefringence with Polarization Data from SPTpol
• Constraints on Primordial Magnetic Fields from Planck combined with the South Pole Telescope CMB B-mode polarization measurements
• BICEP2 / Keck Array IX: New Bounds on Anisotropies of CMB Polarization Rotation and Implications for Axion-Like Particles and Primordial Magnetic Fields
• Future CMB constraints on cosmic birefringence and implications for fundamental physics
• Constraints on primordial magnetic fields from magnetically-induced perturbations: current status and future perspectives with LiteBIRD and future ground based experiments
• Planck 2018 constraints on anisotropic birefringence and its cross-correlation with CMB anisotropy
• Searching for Primordial Magnetic Fields with CMB B-modes
• Generation of large-scale magnetic fields, non-Gaussianity, and primordial gravitational waves in inflationary cosmology
• Testing parity-violating physics from cosmic rotation power reconstruction
• A new perspective on turbulent Galactic magnetic fields through comparison of linear polarisation decomposition techniques
• Real-space computation of $E$/$B$-mode maps I: Formalism, Compact Kernels, and Polarized Filaments
• LiteBIRD Science Goals and Forecasts: Primordial Magnetic Fields
• Impact of Anisotropic Birefringence on Measuring Cosmic Microwave Background Lensing
• Magnetic fields and the Weyl tensor in the early universe
• Faraday scaling and the Bicep2 observations
• Constraining cosmic polarization rotation and implications for primordial B-modes
• Detectability of Galactic Faraday Rotation in Multi-wavelength CMB Observations: A Cross-Correlation Analysis of CMB and Radio Maps