XXth International Conference on Neutrino Physics and Astrophysics
R.Tomas
SN 1987A and the Status of Oscillation
Solutions to the Solar Neutrino Problem
We study neutrino oscillations and the level-crossing probability PLZ
in power-law potential profiles A(r) \propto r^n. We give local and
global adiabaticity conditions valid for all mixing angles theta and
discuss different representations for PLZ. For the 1/r^3 profile
typical of supernova envelopes we compare our analytical to numerical
results and to earlier approximations used in the literature. We then
perform a combined likelihood analysis of the observed SN1987A
neutrino signal and of the latest solar neutrino data, including the
recent SNO CC measurement. We find that, unless all relevant supernova
parameters (released binding energy, anti-nu_e and anti-nu_{mu,tau}
temperatures) are near their lowest values found in simulations, the
status of large mixing type solutions deteriorates considerably
compared to fits using only solar data. This is sufficient to rule out
the vacuum-type solutions for most reasonable choices of astrophysics
parameters. The LOW solution may still be acceptable, but becomes
worse than the SMA-MSW solution which may, in some cases, be the best
combined solution. On the other hand the LMA-MSW solution can easily
survive as the best overall solution, although its size is generally
reduced when compared to fits to the solar data only.
Based on
Phys Rev D 65 (2002) 073016
[hep-ph/0108100].