Lepton mass matrix from double covering of A <sub>4</sub> modular flavor symmetry*
Hiroshi Okada, Yuta Orikasa
Abstract
Abstract We study a double covering of modular flavor symmetry. To this end, we construct lepton models for canonical and radiative seesaw scenarios. Using irreducible doublet representations, heavier Majorana fermion masses are characterized by one free parameter that would differentiate from symmetry. symmetry. Through χ square numerical analysis, we demonstrate that both scenarios produce some predictions in case of normal hierarchy reproducing neutrino oscillation data. However, no solution satisfies the neutrino oscillation data in case of radiative seesaw of inverted hierarchy.
Topics & Concepts
Seesaw molecular geometryPhysicsFlavorParticle physicsSymmetry (geometry)Modular designMass matrixLeptonMatrix (chemical analysis)Construct (python library)Radiative transferNeutrinoQuantum mechanicsGeometryMathematicsOperating systemPathologyComposite materialElectronProgramming languageMedicineComputer scienceMaterials scienceNeutrino Physics ResearchParticle physics theoretical and experimental studiesAstrophysics and Cosmic Phenomena