{"paper":{"title":"Aspects of the Flavor Triangle for Cosmic Neutrino Propagation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.HE","hep-ex"],"primary_cat":"hep-ph","authors_text":"Chiu Man Ho, Lingjun Fu, Thomas J. Weiler","submitted_at":"2014-11-05T07:48:38Z","abstract_excerpt":"Over cosmic distances, astrophysical neutrino oscillations average out to a classical flavor propagation matrix $\\mathscr{P}$. Thus, flavor ratios injected at the cosmic source $W_e,W_\\mu,W_\\tau$ evolve to flavor ratios at Earthly detectors $w_e,w_\\mu,w_\\tau$ according to $\\vec{w}=\\mathscr{P} \\vec{W}$. The unitary constraint reduces the Euclidean octant to a \"flavor triangle\". We prove a theorem that the area of the Earthly flavor triangle is proportional to Det$(\\mathscr{P})$. One more constraint would further reduce the dimensionality of the flavor triangle at Earth (two) to a line (one). We"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.1174","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}