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Spectral split in a prompt supernova neutrino burst: Analytic three-flavor treatment

Spectral split in a prompt supernova neutrino burst: Analytic three-flavor treatment

The prompt ${\ensuremath{\nu}}_{e}$ burst from a core-collapse supernova is subject to both matter-induced flavor conversions and strong neutrino-neutrino refractive effects. For the lowest-mass progenitors, leading to O-Ne-Mg core supernovae, the matter density profile can be so steep that the usual Mikheyev-Smirnov-Wolfenstein matter effects occur within the dense-neutrino region close to …