{ "id": "hep-ph/9610449", "version": "v1", "published": "1996-10-23T01:25:48.000Z", "updated": "1996-10-23T01:25:48.000Z", "title": "Unified Theories with U(2) Flavor Symmetry", "authors": [ "R. Barbieri", "L. J. Hall", "S. Raby", "A. Romanino" ], "comment": "31 pages, 3 .eps figures included", "journal": "Nucl.Phys. B493 (1997) 3-26", "doi": "10.1016/S0550-3213(97)00134-X", "categories": [ "hep-ph" ], "abstract": "A general operator expansion is presented for quark and lepton mass matrices in unified theories based on a U(2) flavor symmetry, with breaking parameter of order $V_{cb} \\approx m_s/m_b \\approx \\sqrt{m_c/m_t}$. While solving the supersymmetric flavor-changing problem, a general form for the Yukawa couplings follows, leading to 9 relations among the fermion masses and mixings, 5 of which are precise. The combination of grand unified and U(2) symmetries provides a symmetry understanding for the anomalously small values of $m_u/m_c$ and $m_c/m_t$. A fit to the fermion mass data leads to a prediction for the angles of the CKM unitarity triangle, which will allow a significant test of these unified U(2) theories. A particular SO(10) model provides a simple realization of the general operator expansion. The lighter generation masses and the non-trivial structure of the CKM matrix are generated from the exchange of a single U(2) doublet of heavy vector generations. This model suggests that CP is spontaneously broken at the unification scale --- in which case there is a further reduction in the number of free parameters.", "revisions": [ { "version": "v1", "updated": "1996-10-23T01:25:48.000Z" } ], "analyses": { "subjects": [ "11.30.Hv", "12.15.Ff", "12.10.-g" ], "keywords": [ "flavor symmetry", "unified theories", "general operator expansion", "heavy vector generations", "fermion mass data" ], "tags": [ "journal article" ], "publication": { "publisher": "Elsevier", "journal": "Nucl. Phys. B" }, "note": { "typesetting": "TeX", "pages": 31, "language": "en", "license": "arXiv", "status": "editable", "inspire": 425001 } } }