Supernova neutrinos and neutrino intrinsic properties

We investigate the feasibility of probing the neutrino mixing angle φ13 and the mass hierarchy with observations of the neutrino bursts from a future supernova. The analysis is based on a density profile of relaxed inverse power-law, ρ ∼ r, to account for the uncertainty of n residing in the supernova mechanism. The survival probabilities of νe and ν̄e are shown to reduce to two-dimensional functions of n and φ13. It is found that in the n − sin φ13 parameter space, the 3D plots of probability functions exhibit highly non-trivial structures which are sensitive to the mass hierarchy, the mixing angle φ13, and the uncertainty of n. The criteria that give rise to observable differences in the 3D plots are established. With the uncertainty of n considered, an analysis that further incorporates qualitative observation of the Earth matter effect is also included. Typeset using REVTEX [email protected] [email protected]