Combined flavor symmetry violation and lepton number violation in neutrino physics

Abstract

Heavy singlet neutrinos admit Majorana masses which are not possible for the Standard Model particles. This suggest new possibilities for generating the masses and mixing angles of light neutrinos. We present a model of neutrino physics which combines the source of lepton number violation with the flavor symmetry responsible for the hierarchy in the charged lepton and quark sector. This is accomplished by giving the scalar field effecting the lepton number violation a nonzero charge under the horizontal flavor symmetry. We find an economical model which is consistent with the measured values of the atmospheric and solar neutrino mass-squares and mixing angles.

arXiv comment6 pages, no figures (published version)

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• Phenomenological Consequences of sub-leading Terms in See-Saw Formulas
• Inverted Mass Hierarchy from Scaling in the Neutrino Mass Matrix: Low and High Energy Phenomenology
• Scaling in the Neutrino Mass Matrix, mu-tau Symmetry and the See-Saw Mechanism
• Minimal Textures in Seesaw Mass Matrices and their low and high Energy Phenomenology
• Scaling ansatz, four zero Yukawa textures and large ${\theta }_{13}$
• Scaling ansatz with texture zeros in linear seesaw
• Extended scaling and residual flavor symmetry in the neutrino Majorana mass matrix
• A Froggatt-Nielsen flavor model for neutrino physics
• $TeV$-Scale Resonant Leptogenesis with New Scaling Ansatz on Neutrino Dirac Mass Matrix from $A_4$ Flavor Symmetry
• $TeV$-Scale Resonant Leptogenesis $A_4$ with a scaling texture