Constraints on primordial magnetic fields from magnetically-induced
  perturbations: current status and future perspectives with LiteBIRD and
  future ground based experiments
  We present the constraints on the amplitude of magnetic fields generated
prior to the recombination using CMB temperature and polarization anisotropy
data from Planck 2018 release, alone and in combination with those from
BICEP2/Keck array and the South Pole Telescope. We model the fields with a
generic parametrization and we make no assumptions on their origin in order to
provide general constraints on their characteristics. The analysis updates the
former corresponding Planck 2015 results both on data and numerical
implementation. We then perform forecasts for the next generation of CMB
experiments such as LiteBIRD satellite alone and in combination with future
ground based experiments.
