Dynamical generation of quark/lepton mass hierarchy in an extra dimension
Yukihiro Fujimoto (National Institute of Technology, Oita College, , Maki 1666, Oaza, Oita 870-0152, , Japan); Kouhei Hasegawa (Department of Physics, Kobe University, , Kobe 657-8501, , Japan); Kenji Nishiwaki (Ruđer Bošković Institute, Division of Theoretical Physics, , Zagreb 10000, , Croatia); Makoto Sakamoto (Department of Physics, Kobe University, , Kobe 657-8501, , Japan); Kazunori Takenaga (Faculty of Health Science, Kumamoto Health Science University, , 325 Izumi-machi, Kita-ku, Kumamoto 861-5598, , Japan); et al - Show all 7 authors
Abstract We show that the observed quark/lepton mass hierarchy can be realized dynamically on an interval extra dimension with point interactions. In our model, the positions of the point interactions play a crucial role in controlling the quark/lepton mass hierarchy and are determined by the minimization of the Casimir energy. By use of the exact extra-dimensional coordinate-dependent vacuum expectation value of a gauge-singlet scalar, we find that there is a parameter set, where the positions of the point interactions are stabilized and fixed, which can reproduce the experimental values of the quark masses precisely enough, while the charged lepton part is less relevant. We also show that possible mixings among the charged leptons will improve the situation significantly.
