{"paper":{"title":"Rephasing invariant CP phases and sum rules in TM$_{1,2}$ mixing","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Masaki J. S. Yang","submitted_at":"2026-05-31T03:28:41Z","abstract_excerpt":"We show that the CP phases $\\phi_{1,2}$ appearing in the TM$_{1,2}$ mixing are directly identified with rephasing invariants $\\phi _{1} = - \\arg \\left[ { U_{e2} U_{e3} U_{\\mu 1} U_{\\tau 1} / U_{e 1} \\det U } \\right]$, $\\phi_{2} = - \\arg \\left[ { U_{e1} U_{e3} U_{\\mu 2} U_{\\tau 2} / U_{e 2} \\det U} \\right]$. Furthermore, we demonstrate relations $\\phi_{i} = \\delta - \\arg [ U_{\\mu i}^{0} U_{\\tau i}^{0} ]$ among $\\phi_{1,2}$, the Dirac CP phase $\\delta$ and matrix elements in the PDG parametrization $U^{0}$. These relations of CP phases are interpreted as specific elements of general sum rules am"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.00980","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2606.00980/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"}