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We extend the multi-angle computational framework and investigate the timeevolution of the neutrino halo on collective neutrino oscillation in the corecollapse of an iron core progenitor. We find that in the case of the $9.6\, \rmM_\odot$ progenitor adopted in this work, there are windows of time when theeffects of neutrino halo and collective neutrino oscillation are notsimultaneously large. Inside the shock, the impact of the inward-scattered haloneutrino cannot in general be neglected compared to the outward-propagatingneutrino flux. However, during early epochs, collective neutrino oscillation iseffectively shut down by multi-angle matter suppression. During theintermediate epoch, collective neutrino oscillation is not suppressed, but itsonset radius is beyond the still relatively small explosion shock front wherethe halo is prominent. We also find in the case of the $9.6\, \rm M_\odot$progenitor the halo neutrinos induce a delay in the onset of collectiveneutrino oscillations. This causes novel flavor conversions which sharpencollective neutrino oscillation spectral features. We predict that theinclusion of neutrino halo effects makes neutrino signals that are more clearlydistinct from thermal emission that when halo neutrinos are omitted.

Neutrino halo effect on collective neutrino oscillation in iron core-collapse supernova model of a 9.6 $M_{\odot}$ star