Neutrino Flavor Conversion Inside and Outside a Supernova

I briefly review the effects of flavor conversion of neutrinos from stellar collapse due to masses and mixing, and discuss the motivations for their study. I consider in detail the sensitivity of certain observables (characteristics of the energy spectra of v_e and bar ν _e events) to the 13-mixing (sin² θ₁₃) and to the type of mass hierarchy/ordering (sign[Δ m₁₃² ]) . These observables are: the ratio of average energies of the spectra, r_E ≡ {{< E ; > } {/ {{< E ; > } {< {bar E} ; > }}} ; . } {< {bar E} ; > }} , the ratio of widths of the energy distributions, r_E ≡ {{< E ; > } {/ {{{< E ; > } {< {bar E} ; > }}} ; . } {< {bar E} ; > }} , the ratios of total numbers of v_e and bar ν _e events at low energies, S, and in the high energy tails, R_tail. I show that regions in the space of observables r_E, r_Γ, R_tail exist in which certain mass hierarchy and intervals of sin² θ₁₃ can be identified or discriminated.