Modular $${A}_{{4}}$$ Invariance Model for Lepton Masses and Mixing
Mohammed Abbas
Abstract
A flavor model based on $$A_{4}$$ modular group is proposed. We consider the inverse seesaw mechanism to produce the light neutrino masses. Both neutrino and charged lepton masses are obtained in terms of Yukawa coupling ratios and the module $$\tau$$ of the $$A_{4}$$ modular form. The calculated lepton parameters (masses and mixings) are in good agreement with the recent neutrino data. The present mixing pattern can be realized as a consequence of deviation from the bimaximal symmetry.
Topics & Concepts
PhysicsYukawa potentialParticle physicsLeptonNeutrinoSeesaw mechanismMixing (physics)Symmetry (geometry)Seesaw molecular geometryNeutrino oscillationSterile neutrinoModular groupCoupling (piping)Nuclear physicsQuantum mechanicsPure mathematicsMechanical engineeringEngineeringMathematicsElectronGeometryParticle physics theoretical and experimental studiesNeutrino Physics ResearchAstrophysics and Cosmic Phenomena