Model of flavor with quaternion symmetry

Abstract

We present a renormalizable fermion mass model based on the symmetry $Q_4$ that accommodates all fermion masses and mixing angles in both the quark and lepton sectors. It requires the presence of only four SU(2) doublet scalar fields transforming non trivially under the flavor symmetry and the assumption of an alignment between first and second generation Yukawa couplings. No right-handed neutrinos are present in the model and neutrino masses are generated radiatively through the introduction of two additional SU(2) singlet fields charged under both hypercharge and lepton number.

24 pages, 4 figures. Title changed to meet journal requirements. References added. Version to appear in Physical Review D

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• Golden Ratio Neutrino Mixing and $A_5$ Flavor Symmetry
• Three generations of Higgses and the cyclic groups
• Neutrino masses generation in a Z_4 model
• Quaternionic Quantization Principle in General Relativity and Supergravity
• Z_4 flavor model in Randall-Sundrum model 1
• Symmetryless Dark Matter
• Off-diagonal terms in Yukawa textures of the Type-III 2-Higgs doublet model and light charged Higgs boson phenomenology
• Gauge Theory on Fiber Bundle of Hypercomplex Algebras
• Extensions of real numbers using coset groups