{"paper":{"title":"Right-Handed Leptonic Mixing and Enhancement Band in Left-Right Symmetry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"Parity in the Dirac leptonic sector of left-right models creates a localized enhancement band where right-handed and left-handed mixing misalign by a large amount even with small parity breaking.","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Vladimir Tello","submitted_at":"2026-03-19T20:52:33Z","abstract_excerpt":"Left-right (LR) symmetric theories predict right-handed charged currents whose flavor structure encodes the realization of parity. While the right-handed quark mixing matrix closely tracks its left-handed counterpart, the leptonic sector with purely Dirac neutrinos has remained structurally unclear. We show that, in contrast to the quark case, parity in the Dirac leptonic sector admits a localized, branch-dependent enhancement band in which RH-LH misalignment becomes parametrically large despite small parity breaking. We derive analytic solutions of the LR consistency equation and demonstrate "},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"We show that, in contrast to the quark case, parity in the Dirac leptonic sector generically induces a localized, branch-dependent enhancement band in which RH--LH misalignment becomes parametrically large despite small parity breaking.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The assumption that neutrinos are purely Dirac (no Majorana components) and that the leptonic sector realizes parity in a manner allowing the LR consistency equation to be solved analytically without additional flavor structures.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"Parity in the Dirac leptonic sector of minimal left-right models induces a localized, branch-dependent enhancement band with parametrically large RH-LH misalignment despite small parity breaking.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"Parity in the Dirac leptonic sector of left-right models creates a localized enhancement band where right-handed and left-handed mixing misalign by a large amount even with small parity breaking.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"19c0c2be6b70b5325c3dbaa2343637bd368feee847cab3f316d149f0b45da197"},"source":{"id":"2603.19462","kind":"arxiv","version":3},"verdict":{"id":"09bc99bd-94df-432b-9f54-8476998896b0","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-15T08:06:05.872432Z","strongest_claim":"We show that, in contrast to the quark case, parity in the Dirac leptonic sector generically induces a localized, branch-dependent enhancement band in which RH--LH misalignment becomes parametrically large despite small parity breaking.","one_line_summary":"Parity in the Dirac leptonic sector of minimal left-right models induces a localized, branch-dependent enhancement band with parametrically large RH-LH misalignment despite small parity breaking.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The assumption that neutrinos are purely Dirac (no Majorana components) and that the leptonic sector realizes parity in a manner allowing the LR consistency equation to be solved analytically without additional flavor structures.","pith_extraction_headline":"Parity in the Dirac leptonic sector of left-right models creates a localized enhancement band where right-handed and left-handed mixing misalign by a large amount even with small parity breaking."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2603.19462/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":1,"snapshot_sha256":"916ad836c6b9fec4f0054ecea879785965a19ab5f757dd8c8f32b1f879f1ec6c"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}