Update of short-baseline electron neutrino and antineutrino disappearance

We present a complete update of the analysis of νₑ and νₑ disappearance experiments in terms of neutrino oscillations in the framework of $3+1$ neutrino mixing, taking into account the Gallium anomaly, the reactor anomaly, solar neutrino data, and νₑC scattering data. We discuss the implications of a recent ⁷¹Ga(³He,³H)⁷¹Ge measurement which give information on the neutrino cross section in Gallium experiments. We discuss the solar bound on active-sterile mixing and present our numerical results. We discuss the connection between the results of the fit of neutrino oscillation data and the heavy neutrino mass effects in β-decay experiments (considering new Mainz data) and neutrinoless double-β decay experiments (considering the recent EXO results).