2018/11/22 by Claudia Hagedorn, Johannes König, Hagedorn, Claudia +1 · 1 citation
Physics and Astronomy · #Astrophysics and Cosmic Phenomena #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Neutrino Physics Research #Particle physics theoretical and experimental studies
paper · pdf · doi:10.48550/arxiv.1811.09262
openalex publication_date 2018/11/22 · openalex created_date 2022/08/01 · openalex updated_date 2026/07/28
We construct a supersymmetric model for leptons and quarks with the flavor\nsymmetry Delta(384) and CP. The peculiar features of lepton and quark mixing\nare accomplished by the stepwise breaking of the flavor and CP symmetry. The\ncorrect description of lepton mixing angles requires two steps of symmetry\nbreaking, where tri-bimaximal mixing arises after the first step. In the quark\nsector the Cabibbo angle thetaC equals sin pi/16 = 0.195 after the first step\nof symmetry breaking and it is brought into full agreement with experimental\ndata after the second step. The two remaining quark mixing angles are generated\nafter the third step of symmetry breaking. All three leptonic CP phases are\npredicted, sin deltal = -0.936, |sin alpha|=|sin beta|=1/sqrt2. The amount\nof CP violation in the quark sector turns out to be maximal at the lowest order\nand is correctly accounted for, when higher order effects are included. Charged\nfermion masses are reproduced with the help of operators with different numbers\nof flavor (and CP) symmetry breaking fields. Light neutrino masses, arising\nfrom the type-I seesaw mechanism, can accommodate both mass orderings, normal\nand inverted. The vacuum alignment of the flavor (and CP) symmetry breaking\nfields is discussed at leading and at higher order.\n