A(4) Flavor Symmetry Model for Dirac-Neutrinos and Sizable U(e3)

Abstract

Models based on flavor symmetries are the most often studied approaches to explain the unexpected structure of lepton mixing. In many flavor symmetry groups a product of two triplet representations contains a symmetric and an anti-symmetric term. If this product of two triplets corresponds to a Majorana mass term, then the anti-symmetric part vanishes, and in economic models tri-bimaximal mixing is achieved. If neutrinos are Dirac particles, the anti-symmetric part is however present and leads to deviations from tri-bimaximal mixing, in particular non-zero U(e3). Thus, the non-vanishing value of U(e3) and the nature of the neutrino are connected. We illustrate this with a model based on A(4) within the framework of a neutrinophilic 2 Higgs doublet scenario.

8 pages, 2 figures

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• Fermion masses and mixings in an $SU(5)$ grand unified model with an extra flavor symmetry
• The $\mu$-$\tau$ reflection symmetry of Majorana neutrinos
• Towards distinguishing Dirac from Majorana neutrino mass with gravitational waves
• Low scale Dirac leptogenesis and dark matter with observable $\Delta N_{\mathrm{eff}}$
• Survey of Texture Zeros with Light Dirac Neutrinos
• Common origin of ${\theta }_{13}$ and dark matter within the flavor symmetric scoto-seesaw framework
• Collider and CMB complementarity of leptophilic dark matter with light Dirac neutrinos
• Deviation from Tribimaximal mixing using $A_4$ flavour model with five extra scalars
• Revisiting the Dirac Nature of Neutrinos in the Light of $\Delta (27)$ and Cyclic Symmetries
• A predictive model of Dirac Neutrinos
• Lepton Mixing, Residual Symmetries, and Trigonometric Diophantine Equations
• Flavored Leptogenesis and Neutrino Mass with $A_4$ Symmetry
• Fully Constrained Majorana Neutrino Mass Matrices Using $\Sigma (72\times 3)$
• An extended 3-3-1 model with two scalar triplets and linear seesaw mechanism
• Dirac Neutrinos and Dark Matter within a Minimal Discrete Symmetry Model
• Fermion masses and mixings and charged lepton flavor violation in a 3-3-1 model with inverse seesaw
• $TeV$-Scale Resonant Leptogenesis $A_4$ with a scaling texture