{"paper":{"title":"Nonzero $\\theta_{13}$ and CP violation from Broken $\\mu-\\tau$ Symmetry with $m_{1}=0$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Asan Damanik","submitted_at":"2014-07-22T10:42:15Z","abstract_excerpt":"Nonzero of mixing angle $\\theta_{13}$ has some phenomenological consequences on neutrino physics beyond the standard model. If the mixing angle $\\theta_{13}\\neq 0$, then there is the possibility of the CP violation existence on the neutrino sector. To obtain a nonzero of mixing angle $\\theta_{13}$ from neutrino mass matrix obey $\\mu-\\tau$, we break it by introducing one small parameter $x$ into neutrino mass matrix and then calculated the Jarlskog invariant as a measure of CP violation existence using the reported experimental data as input and put $m_{1}=0$ for neutrino mass in normal hierarc"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.5814","kind":"arxiv","version":2},"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"}