If my understanding is correct, neutrino oscillation only implies that the neutrino families have different masses. People usually infer from this that all the masses are non-zero, but we can only truly infer that at most one of the neutrino masses is zero. So, how can we really know that the lightest neutrino has some mass?
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This video from FermiLab might help - How do neutrino oscillations work? | Even Bananas 10 – mmesser314 Jun 21 '23 at 01:53