Axial symmetry breaking in self-induced flavor conversion of supernova neutrino fluxes

TL;DR

This paper introduces a new multi-azimuth-angle instability in supernova neutrino fluxes, challenging previous symmetry assumptions and impacting the understanding of collective neutrino oscillations.

Contribution

It presents the first explicit inclusion of azimuth angles in neutrino flavor conversion models, revealing a new instability in the normal hierarchy.

Findings

Discovery of a multi-azimuth-angle instability in supernova neutrinos.

Matter suppression effects require higher densities for instability.

Solutions do not necessarily inherit initial symmetries.

Abstract

Neutrino-neutrino refraction causes self-induced flavor conversion in dense neutrino fluxes. For the first time, we include the azimuth angle of neutrino propagation as an explicit variable and find a new generic multi-azimuth-angle (MAA) instability which, for simple spectra, occurs in the normal neutrino mass hierarchy. Matter suppression of this instability in supernovae requires larger densities than the traditional bimodal case. The new instability shows explicitly that solutions of the equations for collective flavor oscillations need not inherit the symmetries of initial or boundary conditions. This change of paradigm requires reconsideration of numerous results in this field.