Mu-tau neutrino refraction and collective three-flavor transformations in supernovae

Abstract

We study three-flavor collective neutrino transformations in the dense-neutrino region above the neutrino sphere of a supernova core. We find that two-flavor conversions driven by the atmospheric mass difference and the 13-mixing angle capture the full effect if one neglects the second-order difference between the muon and tau neutrino refractive index. Including this "mu-tau matter term" provides a resonance at a density of approximately 3 x 10^7 g cm^-3 that typically causes significant modifications of the overall electron neutrino and antineutrino survival probabilities. This effect is surprisingly sensitive to deviations from maximal 23-mixing, being different for each octant.

9 pages, 7 figures. New presentation of results, version to be published in PRD

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• Three Flavor Neutrino Oscillations in Matter: Flavor Diagonal Potentials, the Adiabatic Basis and the CP phase
• Effect of Collective Flavor Oscillations on the Diffuse Supernova Neutrino Background
• Physics potential of future supernova neutrino observations
• Parameter Degeneracy in Flavor-Dependent Reconstruction of Supernova Neutrino Fluxes
• Theoretical Overview of Neutrino Properties
• Flavour-dependent radiative correction to neutrino-neutrino refraction
• Realistic Earth matter effects and a method to acquire information about small θ_{13} in the detection of supernova neutrinos
• Collective flavor transitions of supernova neutrinos
• Learning more about what can be concluded from the observation of neutrinos from a galactic supernova