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The mixing of active neutrinos with their sterile counterparts with keV massis known to have a potentially major impact on the energy loss from thesupernova core. By relying on a set of three static hydrodynamical backgroundsmimicking the early accretion phase and the Kelvin-Helmoltz cooling phase of asupernova, we develop the first self-consistent, radial- and time-dependenttreatment of sterile and tau neutrinos mixing in the dense stellar core. Wefollow the flavor evolution by including ordinary matter effects, collisionalproduction of sterile neutrinos, as well as reconversions of sterile statesinto active ones. The dynamical feedback of the sterile neutrino production onthe matter background leads to the development of a tau lepton asymmetry thatgrows in time until it reaches a value larger than 0.15. Our results hinttowards significant implications for the supernova physics, and call for aself-consistent modeling of the sterile neutrino transport in the supernovacore to constrain the mixing parameters of sterile neutrinos.

Tau lepton asymmetry by sterile neutrino emission -- Moving beyond one-zone supernova models