CMB Constraints on a Stochastic Background of Primordial Magnetic Fields

Abstract

We constrain a stochastic background of primordial magnetic field (PMF) by its contribution to the angular power spectrum of cosmic microwave background anisotropies. We parametrize such stochastic background by a power-law spectrum with index $n_B$ and by its Gaussian smoothed amplitude $B_{\lambda }$ on a comoving length $\lambda$. We give an approximation for the spectra of the relevant correlators of the energy-momentum of the stochastic background of PMF for any $n_B$. By using the WMAP 7 year data in combination with ACBAR, BICEP and QUAD we obtain the constraint $B_{1\mathrm{Mpc}}<5.0$ nG at 95% confidence level for a stochastic background of non-helical PMF. We discuss the relative importance of the scalar and vector contribution to CMB anisotropies in obtaining these constraints. We then forecast {\sc Planck} capabilities in constraining $B_{1\mathrm{Mpc}}$.

13 pages, 7 figures, 3 tables. Revised version accepted for publication in Phys. Rev. D, conclusions unchanged

References in corpus (17)

• Cosmological Constraints from the SDSS Luminous Red Galaxies
• Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Power Spectra and WMAP-Derived Parameters
• Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Sky Maps, Systematic Errors, and Basic Results
• Strong magnetic fields in normal galaxies at high redshifts
• High resolution CMB power spectrum from the complete ACBAR data set
• CMB anisotropies from primordial inhomogeneous magnetic fields
• Massive Neutrinos and Magnetic Fields in the Early Universe
• Planck pre-launch status: the Planck-LFI programme
• CMB bispectrum from primordial magnetic fields on large angular scales
• The cosmic microwave background temperature bispectrum from scalar perturbations induced by primordial magnetic fields
• The Impact of Stochastic Primordial Magnetic Fields on the Scalar Contribution to Cosmic Microwave Background Anisotropies
• New Constraints on the Primordial Magnetic Field
• An 84 microGauss Magnetic Field in a Galaxy at Redshift z=0.692
• Constraints on the Evolution of the Primordial Magnetic Field from the Small-Scale Cosmic Microwave Background Angular Anisotropy
• CMB anisotropies due to cosmological magnetosonic waves
• Single-field inflation constraints from CMB and SDSS data
• CMB temperature anisotropy at large scales induced by a causal primordial magnetic field

Cited by in corpus (69)

• Planck 2013 results. XVI. Cosmological parameters
• Cosmological Magnetic Fields: Their Generation, Evolution and Observation
• Primordial magnetogenesis
• 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
• Signatures of anisotropic sources in the squeezed-limit bispectrum of the cosmic microwave background
• POLARBEAR Constraints on Cosmic Birefringence and Primordial Magnetic Fields
• Constraints on Primordial Magnetic Fields from Planck combined with the South Pole Telescope CMB B-mode polarization measurements
• Optimal limits on primordial magnetic fields from CMB temperature bispectrum of passive modes
• Conversion of relic gravitational waves into photons in cosmological magnetic fields
• Primordial Magnetic Field Limits from CMB Trispectrum - Scalar Modes and Planck Constraints
• On the non-Gaussian correlation of the primordial curvature perturbation with vector fields
• Cosmic Microwave Background Trispectrum and Primordial Magnetic Field Limits
• Resonant magnetic fields from inflation
• Primordial Magnetism in the CMB: Exact Treatment of Faraday Rotation and WMAP7 Bounds
• Constraints on a Stochastic Background of Primordial Magnetic Fields with WMAP and South Pole Telescope data
• Non-Gaussian features of primordial magnetic fields in power-law inflation
• Consistency of Planck, ACT and SPT constraints on magnetically assisted recombination and forecasts for future experiments
• An upper limit on the strength of the extragalactic magnetic field from ultra-high-energy cosmic-ray anisotropy
• Metric perturbation from inflationary magnetic field and generic bound on inflation models
• Constraints on primordial magnetic fields from magnetically-induced perturbations: current status and future perspectives with LiteBIRD and future ground based experiments
• Magnetic fields from inflation: the transition to the radiation era
• CMB anisotropies in the presence of a stochastic magnetic field
• Effects of helical magnetic fields on the cosmic microwave background
• Magnetic fields from inflation: The CMB temperature anisotropies
• Primordial Magnetic Helicity Constraints from WMAP Nine-Year Data
• Probing Primordial Magnetism with Off-Diagonal Correlators of CMB Polarization
• Constraining Primordial Magnetic Fields with Future Cosmic Shear Surveys
• Simulations and observational tests of primordial magnetic fields from Cosmic Microwave Background constraints
• Baryon isocurvature constraints on the primordial hypermagnetic fields
• Polarization bispectrum for measuring primordial magnetic fields
• Origin of cosmic magnetic fields: Superadiabatically amplified modes in open Friedmann universes
• The evolution of primordial magnetic field since its generation
• CMB anisotropies generated by a stochastic background of primordial magnetic fields with non-zero helicity
• Constraints on Primordial Magnetic Fields from their impact on the ionization history with Planck 2018
• CMB power spectra induced by primordial cross-bispectra between metric perturbations and vector fields
• Magnetogenesis in bouncing cosmology
• Resonant high energy graviton to photon conversion at post recombination epoch
• Probing the Early Universe with the CMB Scalar, Vector and Tensor Bispectrum
• Magnetogenesis in Matter - Ekpyrotic Bouncing Cosmology
• Magnification bias as a novel probe for primordial magnetic fields
• Identification of Patterns in Cosmic-Ray Arrival Directions using Dynamic Graph Convolutional Neural Networks
• Vorticity survival in magnetised Friedmann universes
• Hints of Primordial Magnetic Fields at Recombination and Implications for the Hubble Tension
• Primordial magnetic fields generated by the non-adiabatic fluctuations at pre-recombination era
• CMB and matter power spectra from cross correlations of primordial curvature and magnetic fields
• Model of inflationary magnetogenesis
• LiteBIRD Science Goals and Forecasts: Primordial Magnetic Fields
• Cosmological origin of anomalous radio background
• Power spectrum of post-inflationary primordial magnetic fields
• Cosmological limits on axions and axion-like particles
• Imprints of primordial magnetic fields on intrinsic alignments of galaxies
• The Impact of Primordial Magnetic Fields on Future CMB Bounds on Inflationary Gravitational Waves
• Primordial Magnetism in CMB B-modes
• Evolution of the Chameleon Scalar Field in the Early Universe
• Evolution of the cosmic matter density field with a primordial magnetic field
• Linear perturbations of an anisotropic Bianchi I model with a uniform magnetic field
• Scaling laws and sum rules for the B-mode polarization
• Constraints on Primordial Magnetic Fields from the Lyman-α forest
• Cross correlations from back reaction on stochastic magnetic fields
• Graviton creation from the CMB in large scale magnetic fields
• Scale-dependent bias due to primordial vector fields
• Gravitational instability of the primordial plasma: anisotropic evolution of structure seeds
• Origins of Extragalactic Cosmic Ray Nuclei by Contracting Alignment Patterns induced in the Galactic Magnetic Field
• Impact of a primordial magnetic field on cosmic microwave background $B$ modes with weak lensing
• Tensor B mode and stochastic Faraday mixing
• Primordial magnetogenesis before recombination