Doubly Lopsided Mass Matrices from Unitary Unification

Abstract

It is shown that the stratified or "doubly lopsided" mass matrix structure that is known to reproduce well the qualitative features of the quark and lepton masses and mixings can arise quite naturally in the context of grand unification based on the groups SU(N) with N > 5. An SU(8) example is constructed with the minimal anomaly-free, three-family set of fermions, in which a realistic flavor structure results without flavor symmetry.

16 pages

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Cited by in corpus (17)

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• Fermion Mixings in SU(9) Family Unification
• An explicit SU(12) family and flavor unification model with natural fermion masses and mixings
• Natural fermion mass hierarchy and mixings in family unification
• The global $B-L$ symmetry in the flavor-unified $\mathrm{SU}(N)$ theories
• The Standard Model quark/lepton masses and the Cabibbo-Kobayashi-Maskawa mixing in an $\mathrm{SU}(8)$ theory
• The gauge coupling evolutions of an $\mathrm{SU}(8)$ theory with the maximally symmetry breaking pattern
• Bottom quark and tau lepton masses in a toy $\mathrm{SU}(6)$
• Unification of gauge, family, and flavor symmetries illustrated in gauged SU(12) models
• The unification in an $\widehat{\mathfrak{su}}(8{)}_{k_U=1}$ affine Lie algebra
• Natural Doublet-Triplet Splitting in SU(N)X U(1)
• Further study of the maximally symmetry breaking patterns in an $\mathrm{SU}(8)$ theory
• An Explicit SU(12) Family and Flavor Unification Model
• A two-generational $\mathrm{SU}(7)$ model with extended weak sector: mass hierarchies, mixings, and the flavor non-universality
• A Relation between theta-13 and the Leptonic Dirac CP Phase in SO(10) Lopsided Models
• The non-topological $Z^{\prime }$ string in the 331 model and its classical stability