Modular -invariant flavor model in SU(5) grand unified theory
Tatsuo Kobayashi (Department of Physics, Hokkaido University, , Sapporo 060-0810, , Japan); Yusuke Shimizu (Graduate School of Science, Hiroshima University, , Higashi-Hiroshima 739-8526, , Japan); Kenta Takagi (Graduate School of Science, Hiroshima University, , Higashi-Hiroshima 739-8526, , Japan); Morimitsu Tanimoto (Department of Physics, Niigata University, , Niigata 950-2181, , Japan); Takuya H. Tatsuishi (Department of Physics, Hokkaido University, , Sapporo 060-0810, , Japan)
Abstract We present a flavor model with modular invariance in the framework of SU(5) grand unified theory (GUT). The modular forms of weights and give the quark and lepton mass matrices with a common complex parameter, the modulus . The GUT relation of down-type quarks and charged leptons is imposed by the vacuum expectation value (VEV) of the adjoint 24-dimensional Higgs multiplet in addition to the VEVs of and Higgs multiplets of SU(5). The observed Cabibbo–Kobayashi–Maskawa and Pontecorvo–Maki–Nakagawa–Sakata mixing parameters as well as the mass eigenvalues are reproduced properly. We discuss the leptonic charge–parity phase and the effective mass of the neutrinoless double beta decay with the sum of neutrino masses.
