{"paper":{"title":"Perturbed invariant under a cyclic permutation with trace of neutrino mass matrix remain constant","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Asan Damanik","submitted_at":"2010-09-21T13:03:32Z","abstract_excerpt":"We construct a neutrino mass matrix $M_{\\nu}$ via a seesaw mechanism whith perturbed invariant under a cyclic permutation by introducing one parameter $\\delta$ into the diagonal elements of $M_{\\nu}$ with assumption that trace of the perturbed $M_{\\nu}$ is equal to trace of the unperturbed $M_{\\nu}$. We found that the perturbed neutrino mass matrices $M_{\\nu}$ can predicts the mass-squared difference $\\Delta m_{ij}^{2}\\neq 0$ with the possible hierarchy of neutrino mass is normal or inverted hierarchy. By using the advantages of the mass-squared differences and mixing parameters data from neut"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1009.4080","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"}