Sufficient and Necessary Conditions for Collective Neutrino Instability: Fast, Slow, and Mixed
arXiv:2505.03886 · doi:10.1103/bqkr-rcwk
Abstract
Collective neutrino oscillations exhibit instabilities that induce appreciable flavor conversion, with crucial astrophysical implications. While the importance of initial phase-space distributions is well-established, a general instability criterion for distributions dependent on both energy and emission angle has been lacking. We identify and analyze the sufficient (and necessary) conditions for a generic collective neutrino flavor instability.
14 pages, 8 figures; Improved proof in Sec. IV.B.3 matches the published version
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