I seem to recall (and have searched this thread) that the neutrino's mass has some degree of uncertainty to it. Originally, it was believed to be massless but is now believed (known?) to have a very small mass.
Further, the limited reading I can find on the topic of how neutrino masses are determined seems to indicated that they are measured as the difference of the
squares of the masses of the various neutrino flavors (meaning that the +/- sign could be lost??). Because of this, there's still a lot of uncertainty about the individual mass of a neutrino, right?
The abstract from a peer-reviewed paper from 2009 lists the mass of a neutrino as ~1.45eV based on gravitational lensing data (a fairly reliable direct measurement).
Neutrinos. – They can occupy in the cluster formation process all g = 12 left- and right-handed states, which gives m = 1.455eV.
(Source:
http://iopscience.iop.org/0295-5075/86/5/59001/pdf/0295-5075_86_5_59001.pdf page-3)
A 2010 finding further refined the value of the
combined masses of all three types of neutrinos to be 0.28eV.
As a result, MegaZ can only estimate the sum of the three neutrino masses. The galactic distribution suggests that the combined mass the three neutrino varieties is less than 0.28 electron volts.
(Source:
http://www.sciencedaily.com/releases/2010/07/100712115104.htm)
So, all that's firmly known is that any particular flavor neutrino has a non-zero mass, that one flavor in particular has a mass of 1.455eV, and that the sum of all three neutrino masses is less than 0.28eV.
Is it possible that one (or two) of the three flavors of neutrino has negative mass or have I grossly misunderstood our current knowledge about neutrinos?
EDIT: Propagation time is a weighted average of the various velocities that the neutrino travels as it shifts flavors, so over very long distances, travel is slightly less than the speed of light (corresponding to the positive-mass sum of neutrino flavors). However, during very short trips, perhaps the likelihood that a neutrino occupies a negative-mass state is increased.