{"paper":{"title":"Precision neutrino data confronts $\\mu\\leftrightarrow\\tau$ symmetry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Rambabu Korrapati, S. Uma Sankar","submitted_at":"2018-03-12T07:49:58Z","abstract_excerpt":"Neutrino oscillation data indicate that $\\theta_{23}$ is close to $\\pi/4$ and $\\theta_{13}$ is very small. A simple $\\mu\\leftrightarrow\\tau$ exchange symmetry of the neutrino mass matrix predicts $\\theta_{23}=-\\pi/4$ and $\\theta_{13}=0$. Since the experimental measurements differ from these predictions, this symmetry is obviously broken. This breaking is given by two parameters: $\\varepsilon_1$ parametrizing the inequality bewteen $12$ and $13$ elements and $\\varepsilon_2$ parametrizing the inequality bewteen $22$ and $33$ elements. We show that the magnitude of $\\theta_{13}$ is essentially co"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.04143","kind":"arxiv","version":1},"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"}