{"paper":{"title":"On the Properties of the Effective Jarlskog Invariant for Three-flavor Neutrino Oscillations in Matter","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Shun Zhou, Xin Wang","submitted_at":"2019-08-20T12:43:53Z","abstract_excerpt":"In this paper, we show that the ratio of the effective Jarlskog invariant $\\widetilde{\\cal J}$ for leptonic CP violation in three-flavor neutrino oscillations in matter to its counterpart ${\\cal J}$ in vacuum $\\widetilde{\\cal J}/{\\cal J} \\approx 1/(\\hat{C}^{}_{12} \\hat{C}^{}_{13})$ holds as an excellent approximation, where $\\hat{C}^{}_{12} \\equiv \\sqrt{1 - 2 \\hat{A}^{}_* \\cos 2\\theta^{}_{12} + \\hat{A}^2_*}$ with $\\hat{A}^{}_* \\equiv a\\cos^2 \\theta^{}_{13}/\\Delta^{}_{21}$ and $\\hat{C}^{}_{13} \\equiv \\sqrt{1 - 2 A^{}_{\\rm c} \\cos 2\\theta^{}_{13} + A^2_{\\rm c}}$ with $A^{}_{\\rm c} \\equiv a/\\Delt"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.07304","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1908.07304/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"}