Limitations on Measuring the Tau Neutrino Mass
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I would like to design something 
to explore the MeV level tau neutrino mass
 fit technique in greater detail:

 a) What precisely are the effects of unaccounted for large
 tails in the detector smearing? How sensitive are we to these
 for several different spectral functions ?

 b) Is the 1d likelihood actually well behaved ? I have found
 that the assumptions we have about likelihoods actually are
 only proved for fit intervals that do not depend on the parameter
 being estimated - this is clearly not the case for the
 neutrino mass, as the allowed phase space depends on neu mass.

 c) Is the 2d likelihood better or worse behaved than the 1d ?
 
 Questions b) and c) should be explored as a function of
 the sample size to see if there is a bias in the small
 stats limit.

 I would like to explore these issues computationally within
 a toy Monte Carlo and not analytically. Thus the skills needed 
 would be programming, and perhaps some familiarity with probably 
 and stats.