{"paper":{"title":"The $\\mu-\\tau$ reflection symmetry of Dirac neutrinos and its breaking effect via quantum corrections","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Di Zhang, Jing-yu Zhu, Zhi-zhong Xing","submitted_at":"2017-08-30T07:23:53Z","abstract_excerpt":"Given the Dirac neutrino mass term, we explore the constraint conditions which allow the corresponding mass matrix to be invariant under the \\mu-\\tau reflection transformation, leading us to the phenomenologically favored predictions \\theta_{23} = \\pi/4 and \\delta = 3\\pi/2 in the standard parametrization of the 3\\times 3 lepton flavor mixing matrix. If such a flavor symmetry is realized at a superhigh energy scale \\Lambda_{\\mu\\tau}, we investigate how it is spontaneously broken via the one-loop renormalization-group equations (RGEs) running from \\Lambda_{\\mu\\tau} down to the Fermi scale \\Lambd"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.09144","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"}