Fermion masses and flavor mixing in modular <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>A</mml:mi><mml:mn>4</mml:mn></mml:msub></mml:math> symmetry
Mohammed Abbas
Abstract
We consider a flavor model based on the ${A}_{4}$ 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 $\ensuremath{\tau}$ nearby some fixed points for inverted neutrino mass hierarchy. The quark masses and mixing are arisen at the same $\ensuremath{\tau}$ values used in inverted neutrino mass hierarchy and are in agreement with the recent data.
Topics & Concepts
NeutrinoParticle physicsYukawa potentialMixing (physics)PhysicsSeesaw mechanismLeptonQuarkNuclear physicsNeutrino oscillationQuantum mechanicsElectronNeutrino Physics ResearchParticle physics theoretical and experimental studiesAstrophysics and Cosmic Phenomena