Testing Realistic Quark Mass Matrices in the Custodial Randall-Sundrum Model with Flavor Changing Top Decays

Abstract

We study quark mass matrices in the Randall-Sundrum (RS) model with bulk symmetry $SU(2{)}_L\times SU(2{)}_R\times U(1{)}_{B-L}$. The Yukawa couplings are assumed to be within an order of magnitude of each other, and perturbative. We find that quark mass matrices of the symmetrical form proposed by Koide \textit{et. al.} [Y. Koide, H. Nishiura, K. Matsuda, T. Kikuchi and T. Fukuyama, Phys. Rev. D {\bf 66}, 093006 (2002)] can be accommodated in the RS framework with the assumption of hierarchyless Yukawa couplings, but not the hermitian Fritzsch-type mass matrices. General asymmetrical mass matrices are also found which fit well simultaneously with the quark masses and the Cabibbo-Kobayashi-Maskawa matrix. Both left-handed (LH) and right-handed (RH) quark rotation matrices are obtained that allow analysis of flavour changing decay of both LH and RH top quarks. At a warped down scale of 1.65 TeV, the total branching ratio of $t \ra Z$ + jets can be as high as $\sim 5\times 10^{-6}$ for symmetrical mass matrices and $\sim 2\times 10^{-5}$ for asymmetrical ones. This level of signal is within reach of the LHC.

30 pages, 6 figures. Reference added, typos corrected, discussions in Sec. IV B expanded. Version conforms to the published version

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• One colorful resolution to the neutrino mass generation, three lepton flavor universality anomalies, and the Cabibbo angle anomaly
• Flavour Changing Neutral Current Constraints from Kaluza-Klein Gluons and Quark Mass Matrices in RS1
• Discrete Dirac Neutrino in Warped Extra Dimensions
• Exploring Non-Supersymmetric New Physics in Polarized Møller Scattering
• Warping the Universal Extra Dimensions
• Flavor-changing decays of the top quark in 5D warped models
• Neutrino Masses via the Zee Mechanism in 5D split fermions model