Effects of Cosmological Magnetic Helicity on the Cosmic Microwave Background

Abstract

Cosmological magnetic fields induce temperature and polarization fluctuations in the cosmic microwave background (CMB) radiation. A cosmological magnetic field with current amplitude of order $10^{-9}$ G is detectable via observations of CMB anisotropies. This magnetic field (with or without helicity) generates vector perturbations through vortical motions of the primordial plasma. This paper shows that magnetic field helicity induces parity-odd cross correlations between CMB temperature and $B$-polarization fluctuations and between $E$- and $B$-polarization fluctuations, correlations which are zero for fields with no helicity (or for any parity-invariant source). Helical fields also contribute to parity-even temperature and polarization anisotropies, cancelling part of the contribution from the symmetric component of the magnetic field. We give analytic approximations for all CMB temperature and polarization anisotropy vector power spectra due to helical magnetic fields. These power spectra offer a method for detecting cosmological helical magnetic fields, particularly when combined with Faraday rotation measurements which are insensitive to helicity.

arXiv comment13 pages, submited to Phys. Rev. D

References in corpus (40)

• An All-Sky Analysis of Polarization in the Microwave Background
• Statistics of Cosmic Microwave Background Polarization
• Origin of Galactic and Extragalactic Magnetic Fields
• Gravitational Lensing Effect on Cosmic Microwave Background Polarization
• CMB Anisotropies: Total Angular Momentum Method
• The Magnetized Universe
• The Evolution of Cosmic Magnetic Fields: From the Very Early Universe, to Recombination, to the Present
• Damping of Cosmic Magnetic Fields
• Magnetohydrodynamics in the Early Universe and the Damping of Non-linear Alfven Waves
• Cosmic Microwave Background Polarization
• Primordial Magnetic Fields and Causality
• Faraday Rotation of Microwave Background Polarization by a Primordial Magnetic Field
• Microwave Background Signatures of a Primordial Stochastic Magnetic Field
• Microwave Background Signals from Tangled Magnetic Fields
• Large-scale magnetic fields from inflation in dilaton electromagnetism
• CMB anisotropies from primordial inhomogeneous magnetic fields
• Gravitational wave production: A strong constraint on primordial magnetic fields
• Estimate of the primordial magnetic field helicity
• Speculations on Primordial Magnetic Helicity
• Tensor Microwave Anisotropies from a Stochastic Magnetic Field
• Faraday Rotation of the Cosmic Microwave Background Polarization by a Stochastic Magnetic Field
• The Cosmic Microwave Background and Helical Magnetic Fields: the tensor mode
• The Magnetic Power Spectrum in Faraday Rotation Screens
• Small-scale CMB polarization anisotropies due to tangled primordial magnetic fields
• Microwave Background Anisotropies from Alfven waves
• Cosmic Microwave Background Polarization Signals from Tangled Magnetic Fields
• Distortion of the acoustic peaks in the CMBR due to a primordial magnetic field
• Faraday Rotation of the Cosmic Microwave Background Polarization and Primordial Magnetic Field Properties
• B polarization of the CMB from Faraday rotation
• Primordial magnetic field and non-Gaussianity of the 1-year Wilkinson Microwave Anisotropy Probe (WMAP) data
• Signatures of kinetic and magnetic helicity in the CMBR
• Kinetic vs. Thermal-Field-Theory Approach to Cosmological Perturbations
• Observable primordial vector modes
• Polarization-Temperature Correlation from a Primordial Magnetic Field
• Looking for Cosmological Alfven Waves in WMAP Data
• Determination of the Primordial Magnetic Field Power Spectrum by Faraday Rotation Correlations
• SPH simulations of magnetic fields in galaxy clusters
• Magnetic helicity and cosmological magnetic field
• Cosmic Microwave Background Radiation anisotropy with primordial magnetic fields
• Large Scale Magnetic Fields: Galaxy Two-Point correlation function

Cited by in corpus (95)

• The origin, evolution and signatures of primordial magnetic fields
• The CosmoVerse White Paper: Addressing observational tensions in cosmology with systematics and fundamental physics
• Planck 2015 results. XIX. Constraints on primordial magnetic fields
• Stringent Limit on Primordial Magnetic Fields from the Cosmic Microwave Background Radiation
• Constraining Primordial Magnetism
• Chiral Effects and Cosmic Magnetic Fields
• The Beginning and Evolution of the Universe
• CMB bispectrum from primordial magnetic fields on large angular scales
• Effects of a Primordial Magnetic Field on Low and High Multipoles of the CMB
• CMB Temperature Anisotropy from Broken Spatial Isotropy due to an Homogeneous Cosmological Magnetic Field
• Search for CP Violating Signature of Intergalactic Magnetic Helicity in the Gamma Ray Sky
• Non-Gaussianity from Cosmic Magnetic Fields
• The Gamma-Ray Window to Intergalactic Magnetism
• Faraday Rotation Limits on a Primordial Magnetic Field from WMAP Five-Year Data
• The Search for a Primordial Magnetic Field
• Magnetized CMB observables: a dedicated numerical approach
• Helical Magnetic Fields from Inflation
• Parity violation of primordial magnetic fields in the CMB bispectrum
• Constraints on Primordial Magnetic Fields from Planck combined with the South Pole Telescope CMB B-mode polarization measurements
• Constraints on the Evolution of the Primordial Magnetic Field from the Small-Scale Cosmic Microwave Background Angular Anisotropy
• Primordial Magnetic Field Limits from Cosmic Microwave Background Bispectrum of Magnetic Passive Scalar Modes
• CMB anisotropies due to cosmological magnetosonic waves
• Polarized Cosmological Gravitational Waves from Primordial Helical Turbulence
• Magnetic Helicity Generation from the Cosmic Axion Field
• Tight coupling expansion and fully inhomogeneous magnetic fields
• Entropy perturbations and large-scale magnetic fields
• Intergalactic magnetic field spectra from diffuse gamma rays
• Probing Primordial Magnetic Fields Using Ly-alpha Clouds
• Generic estimates for magnetic fields generated during inflation including Dirac-Born-Infeld theories
• Consistency of Planck, ACT and SPT constraints on magnetically assisted recombination and forecasts for future experiments
• Metric perturbation from inflationary magnetic field and generic bound on inflation models
• Cosmic microwave background bispectrum of tensor passive modes induced from primordial magnetic fields
• Primordial magnetic fields and the HI signal from the epoch of reionization
• Can a primordial magnetic field originate large-scale anomalies in WMAP data?
• Supermassive Black Hole Formation at High Redshifts Through a Primordial Magnetic Field
• CMB anisotropies in the presence of a stochastic magnetic field
• Effect of Primordial Magnetic Field on Seeds for Large Scale Structure
• General parity-odd CMB bispectrum estimation
• Effects of helical magnetic fields on the cosmic microwave background
• Cosmological Magnetic Fields
• Primordial Magnetic Helicity Constraints from WMAP Nine-Year Data
• Semi-analytical approach to magnetized temperature autocorrelations
• Probing Primordial Magnetism with Off-Diagonal Correlators of CMB Polarization
• Scale-invariant helical magnetic field evolution and the duration of inflation
• Transfer matrices for magnetized CMB anisotropies
• Cosmological magnetic field correlators from blazar induced cascade
• On the Detection of Magnetic Helicity
• Probing magnetic helicity with synchrotron radiation and Faraday rotation
• Origin of cosmic magnetic fields: Superadiabatically amplified modes in open Friedmann universes
• Generalized CMB initial conditions with pre-equality magnetic fields
• Quadratic estimator for CMB cross-correlation
• CMB anisotropies generated by a stochastic background of primordial magnetic fields with non-zero helicity
• The evolution of primordial magnetic field since its generation
• Magnetic field spectrum at cosmological recombination revisited
• Searching for Primordial Magnetic Fields with CMB B-modes
• Constraints on the Primordial Magnetic Field from ${\sigma }_8$
• Generation of large-scale magnetic fields, non-Gaussianity, and primordial gravitational waves in inflationary cosmology
• CMB EB and TB cross-spectrum estimation via pseudo-spectrum techniques
• Statistical Properties of Scale-Invariant Helical Magnetic Fields and Applications to Cosmology
• Primordial Magnetic Field Effects on the CMB and Large Scale Structure
• Evolution of primordial magnetic fields in mean-field approximation
• Large-Scale Magnetic Fields, Dark Energy and QCD
• Generation of large-scale magnetic fields from inflation in teleparallelism
• Constraints on the neutrino mass and the primordial magnetic field from the matter density fluctuation parameter ${\sigma }_8$
• Lorentz Symmetry Violation and Galactic Magnetism
• The Effect of Cosmic Magnetic Fields on the Metagalactic Ionization Background inferred from the Lyman-α Forest
• Production of Axions by Cosmic Magnetic Helicity
• CMB with the background primordial magnetic field
• Theoretical Estimates of 2-point Shear Correlation Functions Using Tangled Magnetic Field Power Spectrum
• Detecting chiral gravity with the pure pseudospectrum reconstruction of the cosmic microwave background polarized anisotropies
• Effects of primordial helicity on CMB
• Cosmic magnetization in curved and Lorentz violating space-times
• CMB and matter power spectra from cross correlations of primordial curvature and magnetic fields
• Narrowing the window of inflationary magnetogenesis
• Evolution of the cosmic matter density field with a primordial magnetic field
• Effects of a primordial magnetic field with log-normal distribution on the cosmic microwave background
• A global two-scale helicity proxy from $\pi$-ambiguous solar magnetic fields
• Large-scale magnetic fields from inflation due to a $CPT$-even Chern-Simons-like term with Kalb-Ramond and scalar fields
• Gradient expansion, curvature perturbations and magnetized plasmas
• Constraints on the multi-lognormal magnetic fields from the observations of the cosmic microwave background and the matter power spectrum
• Helicity proxies from linear polarisation of solar active regions
• Cross correlations from back reaction on stochastic magnetic fields
• A new limit on intergalactic magnetic fields on sub-kpc scales from fast radio bursts
• CMB anisotropies and linear matter power spectrum in models with non-thermal neutrinos and primordial magnetic fields
• Magnetic field back reaction on the matter power spectrum
• On the measurement of handedness in Fermi Large Area Telescope data
• Effects of Cosmological Magnetic Helicity on the CMB
• Impact of a primordial magnetic field on cosmic microwave background $B$ modes with weak lensing
• Magnetic field contribution to the last electron-photon scattering
• Cross correlations of the CMB Doppler mode and the 21 cm brightness temperature in the presence of a primordial magnetic field
• Magnetic helicity in primordial and dynamo scenarios of galaxies
• Effects on the CMB from magnetic field dissipation before recombination
• Imprints of the post recombination dissipation of helical magnetic field on the Cosmic Microwave Background Radiation
• Statistics of the CMB polarised anisotropies
• CMB two- and three-point correlation functions from Alfvén waves