CMB anisotropies and linear matter power spectrum in models with non-thermal neutrinos and primordial magnetic fields

Abstract

Angular power spectra of temperature anisotropies and polarization of the cosmic microwave background (CMB) as well as the linear matter power spectra are calculated for models with three light neutrinos with non-thermal phase-space distributions in the presence of a primordial stochastic magnetic field. The non-thermal phase-space distribution function is assumed to be the sum of a Fermi-Dirac and a gaussian distribution. It is found that the known effective description of the non-thermal model in terms of a twin thermal model with extra relativistic degrees of freedom can also be extended to models including a stochastic magnetic field. Numerical solutions are obtained for a range of magnetic field parameters.

19 pages, 7 figures. Discussion extended, figures updated and added, matches version published in Journal of Cosmology and Astroparticle Physics, Volume 2021, November 2021

References in corpus (3)

• The Cosmic Linear Anisotropy Solving System (CLASS) I: Overview
• Neutrino physics from precision cosmology
• CMB anisotropies in the presence of a stochastic magnetic field

Cited by in corpus (5)

• LiteBIRD Science Goals and Forecasts: Primordial Magnetic Fields
• Cosmological perturbations: non-cold relics without the Boltzmann hierarchy
• Magnetic field back reaction on the matter power spectrum
• Matter power spectrum induced by primordial magnetic fields: from the linear to the non-linear regime
• Cross correlations of the CMB Doppler mode and the 21 cm brightness temperature in the presence of a primordial magnetic field