Quark mass matrices in the RS model and rare t decay into c (u) and Z

In this talk we discuss the construction of realistic quark mass matrices in the Randall-Sundrum warped brane world senario. This is an essential step towards gauging whether the RS senarios can be a suitable framework for flavour physics. The RS model was constructed to solve the heirarchy problem by introducing a Planck brane and a TeV brane in AdS space. The difference in scale is given by the warp factor and dimensionless couplings in 4D are of order unity. The observed hierarchy in quark masses are due to the different locations the quarks occupy in the 5th dimension. Recently it was found that electroweak precision measurements requires the extension of the Standard Model gauge group to SU(2)_L×SU(2)_R×U(1)_X as well as making this a bulk gauge symmetry. Within this we examine the various constructions of quark mass matrices and how they can be accomodated in the RS model. One interesting feature of the RS flavor models of this kind is that the rare decay of t → c(u)Z has a relatively large branching ratio ~ 10⁻⁵. We discuss how this can be used to test the various quark mass matrices in the RS model.