{"paper":{"title":"Phenomenology of Harmless Family Gauge Bosons to $K^0$-$\\bar{K}^0$ Mixing","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Yoshio Koide","submitted_at":"2013-11-21T06:59:28Z","abstract_excerpt":"When we try to consider family gauge bosons with a lower energy scale, a major obstacle is constraints from the observed $P^0$-$\\bar{P}^0$ mixings ($P^0=K^0, D^0, B^0,B^0_s$). Against such a conventional view, we point out that, in a U(3) family gauge boson model, the bosons are harmless to any $P^0$-$\\bar{P}^0$ mixings independently of explicit values of the family mixings, if masses $M_{ij}$ of the gauge bosons $A_i^{\\ j}$ ($i,j$ are family indexes) satisfy a relation $2/M_{ij}^2=1/M_{ii}^2 +1/M_{jj}^2$. If such the case can be realized together with an inverted mass hierarchy $M_{33}^2 \\ll "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.5320","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"}