Hierarchical Mass Structure of Fermions in Warped Extra Dimension

Abstract

The warped bulk standard model has been studied in the Randall-Sundrum background on $S^1/\mathbb{Z}\times {\mathbb{Z}}^{\prime }$ interval with the bulk gauge symmetry $SU(3)\times SU(2{)}_L\times SU(2{)}_R\times U(1{)}_{B-L}$. With the assumption of no large cancellation between the fermion flavor mixing matrices, we present a simple analytic method to determine the bulk masses of standard model fermions in the almost universal bulk Yukawa coupling model. We also predict $U_{e3}$ element of MNS matrix to be near the experimental upper bound when the neutrino masses are of Dirac type.

Comments: 16 pages