{"paper":{"title":"Yukawaon Model with U(3)$\\times$S$_3$ Family Symmetries","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Hiroyuki Nishiura, Yoshio Koide","submitted_at":"2012-02-27T02:18:47Z","abstract_excerpt":"A new yukawaon model is investigated under a family symmetry U(3)\\times S_3. In this model, all vacuum expectation values (VEVs) of the yukawaons, <Y_f>, are described in terms of a fundamental VEV matrix <\\Phi_0> as in the previous yukawaon model, but the assignments of quantum number for fields are different from the previous ones: the fundamental yukawaon \\Phi_0 is assigned to (3,3) of U(3) \\times U(3), which is broken into (3,1+2) of U(3) \\times S_3, although quarks and leptons are still assigned to triplets of U(3) and yukawaons Y_f are assigned to 6^* of U(3). Then, VEV relations among Y"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.5815","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":""},"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"}