{"paper":{"title":"Double Froggatt--Nielsen Mechanism","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Kenji Nishiwaki, Yoshiyuki Tatsuta, Yusuke Shimizu","submitted_at":"2016-02-02T11:44:14Z","abstract_excerpt":"We present a doubly parametric extension of the standard Froggatt--Nielsen (FN) mechanism. As is well known, mass matrices of the up- and down-type quark sectors and the charged lepton sector in the standard model can be parametrized well by a parameter $\\lambda$ which is usually taken to be the sine of the Cabibbo angle ($\\lambda = \\sin\\theta_\\text{C} \\simeq 0.225$). However, in the neutrino sector, there is still room to realize the two neutrino mass squared differences $\\Delta m_\\text{sol}^2$ and $\\Delta m_\\text{atm}^2$, two large mixing angles $\\theta _{12}$ and $\\theta _{23}$, and non-zer"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.00890","kind":"arxiv","version":4},"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"}