{"paper":{"title":"The symmetry of $4 \\times 4$ mass matrices predicted by the spin-charge-family theory --- $SU(2) \\times SU(2) \\times U(1)$ --- remains in all loop corrections","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"A. Hernandez-Galeana, N.S. Mankoc Borstnik","submitted_at":"2019-01-08T12:43:03Z","abstract_excerpt":"The spin-charge-family theory predicts the existence of the fourth family to the observed three. The $4 \\times 4$ mass matrices --- determined by the nonzero vacuum expectation values of the two triplet scalars, the gauge fields of the two groups of $\\widetilde{SU}(2)$ determining family quantum numbers, and by the contributions of the dynamical fields of the two scalar triplets and the three scalar singlets with the family members quantum numbers ($\\tau^{\\alpha}=(Q, Q',Y')$) --- manifest the symmetry $\\widetilde{SU}(2) \\times \\widetilde{SU}(2) \\times U(1)$. All scalars carry the weak and the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.02691","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"}