  The Short BaseLine (SBL) neutrino oscillations anomalies hint at the presence
of a sterile neutrino with a mass of around 1 eV. However, such neutrino is
highly incompatible with the cosmological data, in particular from the Cosmic
Microwave Background (CMB), if no new physics is assumed. An interesting
possibility for reconciling the 1 eV sterile neutrino presence in cosmology is
related to the existence of a new pseudoscalar interaction. If the sterile
neutrinos experience such a pseudoscalar interaction, the cosmological analyses
of the full CMB data prefer a sterile neutrino mass that is fully compatible
with the SBL determinations. The additional interaction allows to obtain also
an improved compatibility of the cosmological predictions with the local
measurements of the Hubble parameter.
