CMB and matter power spectra from cross correlations of primordial curvature and magnetic fields

Abstract

A complete numerical calculation of the temperature anisotropies and the polarization of the cosmic microwave background (CMB) is presented for a non zero cross correlation of a stochastic magnetic field with the primordial curvature perturbation. Such a cross correlation results, for example, if the magnetic field is generated during inflation by coupling electrodynamics to a scalar field which is identified with the curvaton. For a nearly scale invariant magnetic field of 1 nG it is found that at low multipoles the contribution due to the cross correlation dominates over that of the pure magnetic mode. A similar behaviour on large scales is found for the linear matter power spectrum.

13 pages, 11 figures

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Cited by in corpus (11)

• Signatures of anisotropic sources in the squeezed-limit bispectrum of the cosmic microwave background
• Constraints on Primordial Magnetic Fields from Planck combined with the South Pole Telescope CMB B-mode polarization measurements
• Constraints on primordial magnetic fields from magnetically-induced perturbations: current status and future perspectives with LiteBIRD and future ground based experiments
• Primordial Anisotropies in Gauged Hybrid Inflation
• Polarization bispectrum for measuring primordial magnetic fields
• Constraints on Primordial Magnetic Fields from their impact on the ionization history with Planck 2018
• Cross-correlations between scalar perturbations and magnetic fields in bouncing universes
• Enhancing the cross-correlations between magnetic fields and scalar perturbations through parity violation
• LiteBIRD Science Goals and Forecasts: Primordial Magnetic Fields
• Inflationary magnetogenesis: solving the strong coupling and its non-Gaussian signatures
• Revisiting primordial magnetic fields through 21-cm physics: Bounds and forecasts