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Abstract:
The MiniBooNE and LSND experiments are compatible
with each other when two sterile neutrinos are added
to the three active ones. In this case there are eight
possible mass orderings. In two of them both sterile
neutrinos are heavier than the three active ones. In
the next two scenarios both sterile neutrinos are lighter
than the three active ones. The remaining four scenarios
have one sterile neutrino heavier and another lighter
than the three active ones. We analyze all scenarios with
respect to their predictions for mass-related observables.
These are the sum of neutrino masses as constrained by
cosmological observations, the kinematic mass parameter
as measurable in the KATRIN experiment, and the effective
mass governing neutrinoless double beta decay. It is
investigated how these non-oscillation probes can
distinguish between the eight scenarios. Six of the
eight possible mass orderings predict positive signals
in the KATRIN and future neutrinoless double beta decay
experiments. We also remark on scenarios with three
sterile neutrinos. In addition we make some comments
on the possibility of using decays of high energy
astrophysical neutrinos to discriminate between the
mass orderings in presence of two sterile neutrinos.
