Renormalizable (10) Grand Unified Theory With Suppressed Dimension-5 Proton Decays
Naoyuki Haba (Institute of Science and Engineering, , Shimane University, , Matsue 690-8504, , Japan); Yukihiro Mimura (Institute of Science and Engineering, , Shimane University, , Matsue 690-8504, , Japan); Toshifumi Yamada (Institute of Science and Engineering, , Shimane University, , Matsue 690-8504, , Japan)
Abstract We study a renormalizable supersymmetric (SUSY) grand unified theory model where the Yukawa couplings of single , single , and single fields (, , and ) account for the quark and lepton Yukawa couplings and the neutrino mass. We pursue the possibility that , , and reproduce the correct quark and lepton masses, Cabibbo–Kobayashi–Maskawa and Pontecorvo–Maki–Nakagawa–Sakata (PMNS) matrices and neutrino mass differences, and at the same time suppress dimension-5 proton decays (proton decays via colored Higgsino exchange) through their texture, so that the soft SUSY-breaking scale can be reduced as much as possible without conflicting the current experimental bound on proton decays. We perform a numerical search for such a texture, and investigate implications of that texture on unknown neutrino parameters, the Dirac CP phase of the PMNS matrix, the lightest neutrino mass, and the -component of the neutrino mass matrix in the charged lepton basis. Here we concentrate on the case when the active neutrino mass is generated mostly by the Type-2 seesaw mechanism, in which case we can obtain predictions for the neutrino parameters from the condition that dimension-5 proton decays be suppressed as much as possible.