Yukawaon Model with U(3)$\times$S${}_3$ Family Symmetries

Abstract

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 <Φ_0> as in the previous yukawaon model, but the assignments of quantum number for fields are different from the previous ones: the fundamental yukawaon Φ_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 Yukawaons become more concise considerably than the previous yukawaon models. By adjusting parameters, we can fit not only quark mixing parameters but also lepton mixing parameters together with their mass ratios.

11 pages, 3 figures

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• Neutrino Mass Matrix Model with a Bilinear Form
• Universal Bilinear Form of Quark and Lepton Mass Matrices
• Origin of Hierarchical Structures of Quark and Lepton Mass Matrices
• Quark and Lepton Mass Matrices Described by Charged Lepton Masses
• Leptonic $CP$ violating Phase in the Yukawaon Model
• 50 Years of Neutrino Physics
• A modified version of the Koide formula from flavor nonets in a scalar potential model and in a Yukawaon model
• Quark Yukawa pattern from spontaneous breaking of flavour $SU(3{)}^3$