Fermion masses and mixing in modular A4 Symmetry

Abstract

We consider a flavor model based on A4 modular group to account for both lepton and quark parameters (masses and mixing). The inverse seesaw mechanism is considered to produce the light neutrino masses. Lepton masses and mixing are obtained in terms of Yukawa coupling ratios and values of the modulus τ nearby some fixed points for inverted neutrino mass hierarchy. The quark masses and mixing are arisen at the same τ values used in inverted neutrino mass hierarchy and are in agreements with the recent data.

arXiv comment12 pages

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• Neutrino phenomenology, W mass anomaly & muon $(g-2)$ in minimal type-III seesaw using $T^{\prime }$ modular symmetry
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• Electron EDM arising from modulus $\tau$ in the supersymmetric modular invariant flavor models
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• Classification of Modular Symmetries in Type IIB Flux Landscape
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• $keV$ sterile neutrino as dark matter in doublet left-right symmetric model with $A_4$ modular symmetry